Toniolo and Linder, Equation (3b), real

Time bar (total: 14.8s)

analyze216.0ms (1.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
43.8%43.7%56.2%0.1%0%0%0%7
53.1%53%46.8%0.1%0%0%0%8
60.9%60.8%39%0.1%0%0%0%9
60.9%60.8%39%0.1%0%0%0%10
64.8%64.7%35.1%0.1%0%0%0%11
68.4%68.3%31.6%0.1%0%0%0%12
Compiler

Compiled 20 to 15 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-sin: 40.0ms (31.6% of total)
ival-pow: 33.0ms (26.1% of total)
ival-mult: 24.0ms (19% of total)
ival-sqrt: 11.0ms (8.7% of total)
ival-div: 8.0ms (6.3% of total)
ival-add: 7.0ms (5.5% of total)
const: 2.0ms (1.6% of total)

sample2.4s (16%)

Results
1.9s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-sin: 635.0ms (46.2% of total)
ival-sqrt: 324.0ms (23.6% of total)
ival-pow: 217.0ms (15.8% of total)
ival-mult: 66.0ms (4.8% of total)
ival-div: 63.0ms (4.6% of total)
ival-add: 47.0ms (3.4% of total)
const: 19.0ms (1.4% of total)
backward-pass: 4.0ms (0.3% of total)
Bogosity

preprocess181.0ms (1.2%)

Algorithm
egg-herbie
Rules
968×fma-define
307×fma-neg
195×unsub-neg
181×times-frac
170×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053717
1111529
2240529
3420529
4940529
52219529
63233529
73758529
84126529
94217529
104256529
114256529
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 (neg.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))) (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 (neg.f64 th))))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))) (sin.f64 ky))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 (neg.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (neg.f64 kx)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)))
(*.f64 (sin.f64 th) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 th)))
(neg.f64 (*.f64 (/.f64 (sin.f64 (neg.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 (neg.f64 ky)) #s(literal 2 binary64))))) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(neg.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 (neg.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 kx))
(*.f64 (sin.f64 kx) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 kx) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (hypot.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 th) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 th)))
Symmetry

(abs kx)

(negabs ky)

(negabs th)

explain313.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
190-1(5.445830863751396e-158 7.275821919921535e-274 1.5649493116778523e-187)(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
00-0-kx
00-0-ky
00-0-(sin.f64 ky)
00-0-(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
00-0-th
054(6.9677220204661955e-99 1.3802218850898025e-302 6.406303074221533e+208)0-(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
00-0-(sin.f64 th)
00-0-(sin.f64 kx)
00-0-(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
043(3.8130048885825314e-172 3.3361408576095547e-59 4.388169239430672e-255)0-(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
Results
178.0ms512×256valid
Compiler

Compiled 159 to 90 computations (43.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
ival-pow: 51.0ms (41.6% of total)
ival-sin: 38.0ms (31% of total)
ival-sqrt: 11.0ms (9% of total)
ival-add: 10.0ms (8.2% of total)
ival-div: 7.0ms (5.7% of total)
ival-mult: 4.0ms (3.3% of total)
const: 3.0ms (2.4% of total)

eval0.0ms (0%)

Compiler

Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
99.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Compiler

Compiled 33 to 23 computations (30.3% saved)

localize145.0ms (1%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
99.7%
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
99.7%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
99.6%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
93.1%
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
100.0%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
99.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
99.6%
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
Results
113.0ms256×256valid
Compiler

Compiled 103 to 41 computations (60.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-pow: 25.0ms (27.7% of total)
ival-sin: 23.0ms (25.5% of total)
ival-sqrt: 12.0ms (13.3% of total)
composed: 9.0ms (10% of total)
ival-mult: 8.0ms (8.9% of total)
ival-add: 6.0ms (6.7% of total)
ival-div: 5.0ms (5.5% of total)
const: 2.0ms (2.2% of total)

series51.0ms (0.3%)

Counts
7 → 136
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))>
#<alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))>
#<alt (hypot.f64 (sin.f64 ky) (sin.f64 kx))>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
Outputs
#<alt (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))>
#<alt (*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))>
#<alt (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx)))>
#<alt (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx)))>
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#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
Calls

42 calls:

TimeVariablePointExpression
5.0ms
kx
@inf
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
3.0ms
kx
@0
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
3.0ms
kx
@inf
(sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))
3.0ms
ky
@0
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
2.0ms
th
@inf
(/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))

rewrite282.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
887×log1p-expm1-u
805×expm1-log1p-u
721×prod-diff
127×add-exp-log
127×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022185
1318185
23815185
Stop Event
node limit
Counts
7 → 189
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(log.f64 (exp.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(log1p.f64 (expm1.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 kx)) (*.f64 (sqrt.f64 (sin.f64 kx)) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 kx) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 kx) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 kx)))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))) #s(literal 1 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))

simplify251.0ms (1.7%)

Algorithm
egg-herbie
Rules
620×associate-*r*
521×associate-*l*
457×fma-define
404×*-commutative
303×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070417449
1189116557
2710516557
Stop Event
node limit
Counts
325 → 318
Calls
Call 1
Inputs
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (sin.f64 th) (sin.f64 kx))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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(sin.f64 ky)
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#s(literal 1 binary64)
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(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
Outputs
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 th #s(literal 2 binary64))))))
(*.f64 th (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))
(*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/120 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))
(*.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 th #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/120 binary64))))))))
(*.f64 th (+.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (sin.f64 kx))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (*.f64 (sin.f64 kx) (sin.f64 th))) (*.f64 #s(literal -1/2 binary64) (pow.f64 ky #s(literal 2 binary64))))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx)))
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(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(log.f64 (exp.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))

eval145.0ms (1%)

Compiler

Compiled 9317 to 4935 computations (47% saved)

prune111.0ms (0.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New30315318
Fresh000
Picked112
Done000
Total30416320
Accuracy
100.0%
Counts
320 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
28.9%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
99.7%
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
94.6%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
99.6%
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))
73.5%
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (sin.f64 th))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
85.9%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
30.6%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
22.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
50.4%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
99.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
29.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
33.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
30.6%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
29.5%
(sin.f64 th)
Compiler

Compiled 432 to 307 computations (28.9% saved)

localize248.0ms (1.7%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
100.0%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
99.7%
(*.f64 (sin.f64 th) (sin.f64 ky))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
94.9%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))
100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
99.7%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
93.7%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
86.1%
(/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
99.8%
(*.f64 ky (sin.f64 th))
94.8%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
100.0%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
99.8%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
99.7%
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
Results
195.0ms256×256valid
Compiler

Compiled 164 to 55 computations (66.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-mult: 71.0ms (48.7% of total)
ival-pow: 25.0ms (17.2% of total)
ival-sin: 19.0ms (13% of total)
ival-div: 13.0ms (8.9% of total)
composed: 9.0ms (6.2% of total)
ival-add: 4.0ms (2.7% of total)
ival-sqrt: 2.0ms (1.4% of total)
const: 2.0ms (1.4% of total)

series68.0ms (0.5%)

Counts
10 → 221
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))>
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<alt (*.f64 ky (sin.f64 th))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))>
#<alt (*.f64 (sin.f64 th) (sin.f64 ky))>
Outputs
#<alt (/.f64 ky (sin.f64 kx))>
#<alt (*.f64 ky (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))>
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#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
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#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 th)>
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#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
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#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
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#<alt (*.f64 ky th)>
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#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 th)>
#<alt (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))>
#<alt (*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 th (sin.f64 ky))>
#<alt (*.f64 th (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)))))>
#<alt (*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)))))))>
#<alt (*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky))))))))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 ky (sin.f64 th))>
#<alt (*.f64 ky (+.f64 (sin.f64 th) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)))))>
#<alt (*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)))))))>
#<alt (*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th))) (*.f64 #s(literal 1/120 binary64) (sin.f64 th))))))))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
Calls

75 calls:

TimeVariablePointExpression
7.0ms
kx
@inf
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (sin th) (sin ky)))
2.0ms
kx
@0
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (sin th) (sin ky)))
2.0ms
th
@0
(* (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) (sin th))
2.0ms
ky
@0
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (sin th) (sin ky)))
1.0ms
th
@0
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (sin th) (sin ky)))

rewrite245.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
817×prod-diff
211×log1p-expm1-u
211×expm1-log1p-u
210×pow1
208×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030367
1470341
26571341
Stop Event
node limit
Counts
10 → 353
Calls
Call 1
Inputs
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (sin.f64 th))
(/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (sin.f64 th) (sin.f64 ky))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
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(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sin.f64 ky)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sin.f64 th)) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (/.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal 2 binary64))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))
(*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 th)))
(*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (sin.f64 ky))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal 1 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (sin.f64 ky)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)))

simplify285.0ms (1.9%)

Algorithm
egg-herbie
Rules
794×fma-define
519×distribute-rgt-in
512×distribute-lft-in
464×associate-*r/
394×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0121535331
1337133600
Stop Event
node limit
Counts
574 → 601
Calls
Call 1
Inputs
(/.f64 ky (sin.f64 kx))
(*.f64 ky (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
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#s(literal 1 binary64)
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(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
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(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 th)
(+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
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(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
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(sin.f64 th)
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#s(literal 1 binary64)
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(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))))
(*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 th)))
(*.f64 (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 th))) (sqrt.f64 (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))) (sin.f64 ky))
(pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal 1 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (sin.f64 ky)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)))
Outputs
(/.f64 ky (sin.f64 kx))
(*.f64 ky (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 ky (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))) (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/240 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))))) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
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#s(literal 1 binary64)
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(fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))
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(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
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(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(-.f64 (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (sin.f64 th))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 3 binary64))
(*.f64 (sin.f64 ky) (sin.f64 th))
(pow.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sin.f64 ky) (sin.f64 th))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 2 binary64))
(*.f64 (sin.f64 ky) (sin.f64 th))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (sin.f64 th))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 3 binary64)))
(*.f64 (sin.f64 ky) (sin.f64 th))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(exp.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (sin.f64 th))

eval1.1s (7.2%)

Compiler

Compiled 20638 to 10467 computations (49.3% saved)

prune225.0ms (1.5%)

Pruning

45 alts after pruning (42 fresh and 3 done)

PrunedKeptTotal
New79235827
Fresh3710
Picked325
Done011
Total79845843
Accuracy
100.0%
Counts
843 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.7%
(pow.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
30.3%
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 3 binary64))
23.5%
(/.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
14.2%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
94.8%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
16.9%
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
19.3%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
17.2%
(/.f64 (*.f64 ky th) (sin.f64 kx))
99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
26.2%
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
28.6%
(/.f64 (expm1.f64 (log1p.f64 (*.f64 ky (sin.f64 th)))) (sin.f64 kx))
52.5%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
47.2%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
36.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
31.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
29.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
52.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
25.8%
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 th)) (sin.f64 th))
17.6%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
73.5%
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (sin.f64 th))
25.1%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))
30.6%
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
85.9%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
33.7%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
30.6%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
28.9%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
25.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
22.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
21.6%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))) (sin.f64 th))
50.4%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
3.0%
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th))
2.6%
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
30.5%
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
99.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
29.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
33.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
18.4%
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
21.0%
(*.f64 ky (/.f64 (sin.f64 th) kx))
18.9%
(*.f64 ky (/.f64 th (sin.f64 kx)))
29.5%
(sin.f64 th)
14.6%
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
31.5%
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
23.5%
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
Compiler

Compiled 1201 to 870 computations (27.6% saved)

localize244.0ms (1.7%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
100.0%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
99.8%
(*.f64 ky (sin.f64 th))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
95.0%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
99.7%
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64))))
95.2%
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
78.6%
(/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))
99.8%
(*.f64 ky (sin.f64 th))
99.8%
(*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))
87.0%
(*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th)))
84.2%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
99.8%
(/.f64 th (sin.f64 kx))
96.4%
(*.f64 ky (/.f64 th (sin.f64 kx)))
100.0%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
99.8%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
99.8%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
Results
176.0ms256×256valid
Compiler

Compiled 187 to 73 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-pow: 43.0ms (36% of total)
ival-mult: 22.0ms (18.4% of total)
ival-sin: 19.0ms (15.9% of total)
ival-div: 18.0ms (15.1% of total)
composed: 8.0ms (6.7% of total)
ival-add: 5.0ms (4.2% of total)
const: 3.0ms (2.5% of total)
ival-sqrt: 2.0ms (1.7% of total)

series95.0ms (0.6%)

Counts
12 → 280
Calls
Call 1
Inputs
#<alt (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))>
#<alt (*.f64 ky (/.f64 th (sin.f64 kx)))>
#<alt (/.f64 th (sin.f64 kx))>
#<alt (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)>
#<alt (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th)))>
#<alt (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64))))>
#<alt (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))>
Outputs
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))>
#<alt (*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 th)>
#<alt (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 (sin.f64 kx) ky)>
#<alt (/.f64 (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))) ky)>
#<alt (/.f64 (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 7/360 binary64) (sin.f64 kx)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))))))) ky)>
#<alt (/.f64 (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 7/360 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 31/15120 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 7/720 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))))))))))))))) ky)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
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#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 ky (sin.f64 th))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky)))>
#<alt (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 ky (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky)))>
#<alt (+.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 ky (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 ky (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 ky (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky)))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))>
#<alt (*.f64 th (+.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 th (+.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
Calls

90 calls:

TimeVariablePointExpression
24.0ms
kx
@0
(/ (pow kx 2) (pow ky 2))
4.0ms
th
@inf
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* ky (sin th)))
3.0ms
kx
@0
(/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))
1.0ms
ky
@0
(/ (* (+ (* 1/6 (pow kx 2)) 1) (* ky (sin th))) kx)
1.0ms
th
@inf
(/ (* (+ (* 1/6 (pow kx 2)) 1) (* ky (sin th))) kx)

rewrite273.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
525×prod-diff
248×log1p-expm1-u
248×expm1-log1p-u
245×add-exp-log
245×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034421
1545397
27893397
Stop Event
node limit
Counts
12 → 404
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 th (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))
(/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sqrt.f64 (sin.f64 th)) (*.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sqrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 ky)))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (*.f64 (sin.f64 th) ky))) (sqrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 th) (neg.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (sin.f64 th))
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky) #s(literal -2 binary64)))
(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 th) ky) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 th) ky)) (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))

simplify314.0ms (2.1%)

Algorithm
egg-herbie
Rules
711×fma-define
430×distribute-rgt-in
430×distribute-lft-in
424×*-commutative
261×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0138337319
1381536060
Stop Event
node limit
Counts
684 → 719
Calls
Call 1
Inputs
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 th)
(+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))
(+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (sin.f64 kx) ky)
(/.f64 (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))) ky)
(/.f64 (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 7/360 binary64) (sin.f64 kx)) (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))))))) ky)
(/.f64 (+.f64 (sin.f64 kx) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 7/360 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 31/15120 binary64) (sin.f64 kx)) (+.f64 (*.f64 #s(literal 7/720 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx))))))))))))))) ky)
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
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#s(literal 1 binary64)
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 th) ky) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 th) ky)) (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
Outputs
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (sin.f64 ky))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) #s(literal 1/120 binary64))))))
(*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))
(*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (fma.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
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(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(exp.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 ky (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)) #s(literal 1 binary64)))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (*.f64 ky (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky) (neg.f64 (sin.f64 th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky) #s(literal -2 binary64))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 ky (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 th) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) ky)) #s(literal -1 binary64)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))) #s(literal -2 binary64))
(*.f64 (/.f64 ky #s(literal 1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 ky (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 th) (/.f64 ky (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 ky (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 ky (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 ky (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 th) ky) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 th) (/.f64 ky (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (*.f64 (sin.f64 th) ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 ky (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 ky (sin.f64 th)) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) #s(literal 2 binary64))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 th) ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 ky (sin.f64 th)) #s(literal 2 binary64))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 ky (sin.f64 th))) (pow.f64 (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 ky (sin.f64 th))) (cbrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 th) ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 ky (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sqrt.f64 (*.f64 ky (sin.f64 th))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) (*.f64 (sin.f64 th) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) ky) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 ky (sin.f64 th)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 ky (sin.f64 th)))))
(*.f64 (cbrt.f64 (*.f64 ky (sin.f64 th))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 ky (sin.f64 th)) #s(literal 2 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (*.f64 (sin.f64 th) ky))) (sqrt.f64 (*.f64 (sin.f64 th) ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (*.f64 (sin.f64 th) (neg.f64 ky)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (neg.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky) #s(literal -1 binary64))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky) #s(literal -2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 th) ky) #s(literal 3 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 3 binary64))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)) #s(literal -1 binary64)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 1 binary64)))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(exp.f64 (-.f64 (log.f64 (*.f64 (sin.f64 th) ky)) (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 ky (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))

eval475.0ms (3.2%)

Compiler

Compiled 22864 to 11741 computations (48.6% saved)

prune265.0ms (1.8%)

Pruning

58 alts after pruning (54 fresh and 4 done)

PrunedKeptTotal
New981301011
Fresh132437
Picked415
Done033
Total998581056
Accuracy
100.0%
Counts
1056 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.6%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
94.8%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
17.2%
(/.f64 (*.f64 th ky) (sin.f64 kx))
15.6%
(/.f64 (*.f64 th ky) kx)
25.3%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
19.3%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
33.6%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
30.5%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
87.7%
(/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
26.2%
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
18.9%
(/.f64 ky (/.f64 (sin.f64 kx) th))
51.3%
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)) #s(literal 3 binary64)))
52.5%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
25.3%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
25.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)))) (*.f64 ky (sin.f64 th))))
29.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx)))) (*.f64 ky (sin.f64 th))))
36.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
25.3%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
31.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
17.2%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
29.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
52.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
51.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
17.6%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
30.6%
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
33.7%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
30.6%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
52.2%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (sin.f64 th))
17.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
3.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
25.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
22.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
21.6%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))) (sin.f64 th))
50.4%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
14.8%
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
3.0%
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th))
3.2%
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
52.2%
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
30.5%
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
99.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
29.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
33.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
18.4%
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
17.2%
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
52.2%
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
17.8%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
21.0%
(*.f64 ky (/.f64 (sin.f64 th) kx))
17.3%
(*.f64 ky (/.f64 th kx))
18.9%
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
22.5%
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
18.6%
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
14.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
2.6%
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
29.5%
(sin.f64 th)
31.5%
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
Compiler

Compiled 1463 to 1055 computations (27.9% saved)

localize406.0ms (2.7%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.7%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
96.9%
(*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
93.7%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
92.8%
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
99.7%
(/.f64 (sin.f64 th) (sin.f64 kx))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
99.8%
(*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))
90.0%
(*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th))
83.1%
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
93.2%
(*.f64 ky (/.f64 th kx))
99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 th))
99.8%
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
Results
208.0ms256×256valid
Compiler

Compiled 205 to 90 computations (56.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-div: 56.0ms (34.4% of total)
ival-mult: 39.0ms (24% of total)
ival-pow: 27.0ms (16.6% of total)
ival-sin: 19.0ms (11.7% of total)
composed: 8.0ms (4.9% of total)
ival-add: 7.0ms (4.3% of total)
const: 4.0ms (2.5% of total)
ival-sqrt: 2.0ms (1.2% of total)

series77.0ms (0.5%)

Counts
11 → 292
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 th))>
#<alt (*.f64 ky (/.f64 th kx))>
#<alt (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)>
#<alt (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th))>
#<alt (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))>
#<alt (/.f64 (sin.f64 th) (sin.f64 kx))>
#<alt (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))>
#<alt (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
Outputs
#<alt (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))>
#<alt (*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))>
#<alt (*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (sin.f64 th)>
#<alt (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))>
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#<alt (sin.f64 th)>
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#<alt (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (sin.f64 th) (pow.f64 kx #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 ky #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (pow.f64 ky #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 kx #s(literal 2 binary64))) (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))))))) (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))))) (pow.f64 ky #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 kx #s(literal 2 binary64))) (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/315 binary64) (pow.f64 kx #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2/135 binary64) (pow.f64 kx #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 kx #s(literal 2 binary64))) (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))))))))))))))) (pow.f64 ky #s(literal 2 binary64)))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))>
#<alt (*.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))>
#<alt (*.f64 th (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (*.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (pow.f64 kx #s(literal 2 binary64))) (pow.f64 ky #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 kx #s(literal 2 binary64))) (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64)))))) (*.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64))))) (pow.f64 kx #s(literal 2 binary64))) (pow.f64 ky #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/315 binary64) (pow.f64 kx #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2/135 binary64) (pow.f64 kx #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 kx #s(literal 2 binary64))) (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (pow.f64 kx #s(literal 2 binary64))) (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64)))))) (*.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64))))) (pow.f64 kx #s(literal 2 binary64))) (pow.f64 ky #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
Calls

84 calls:

TimeVariablePointExpression
22.0ms
kx
@-inf
(* ky (/ th kx))
2.0ms
kx
@0
(/ (* (+ (* 1/6 (pow kx 2)) 1) (* ky th)) kx)
2.0ms
ky
@-inf
(* (/ 1 (sin th)) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))
2.0ms
th
@inf
(/ (sin th) (sin kx))
1.0ms
kx
@0
(* (sin ky) (/ (sin th) (sin kx)))

rewrite123.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
285×associate-*r*
283×log1p-expm1-u
283×expm1-log1p-u
280×add-exp-log
279×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038378
1631356
Stop Event
node limit
Counts
11 → 285
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (sin.f64 th))
(*.f64 ky (/.f64 th kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (sin.f64 th) (sin.f64 kx))
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -2 binary64))) (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64))
(pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(sqrt.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
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(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 ky (/.f64 kx th)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 ky (/.f64 kx th)))) #s(literal 1 binary64)))
(+.f64 (*.f64 th ky) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) (*.f64 th ky)))
(+.f64 (*.f64 (*.f64 th ky) #s(literal 1 binary64)) (*.f64 (*.f64 th ky) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 th ky) (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))) (*.f64 (*.f64 th ky) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) (*.f64 th ky)) (*.f64 th ky))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 th ky)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 th ky)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 th ky))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 th ky)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 th ky))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 th ky)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 ky) th) (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 th ky)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 th ky)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 th ky) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 th ky) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 th ky))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 th ky))))
(exp.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 th ky))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 th ky))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sin.f64 kx)))
(pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(exp.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (cbrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 kx))) (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sin.f64 th)) (sin.f64 kx)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 th) #s(literal 2 binary64))) (sqrt.f64 (sin.f64 kx))) (/.f64 (cbrt.f64 (sin.f64 th)) (sqrt.f64 (sin.f64 kx))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (sin.f64 th)) (sin.f64 kx)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 th)) (pow.f64 (cbrt.f64 (sin.f64 kx)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (sin.f64 th)) (cbrt.f64 (sin.f64 kx))))
(pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) #s(literal -1 binary64))
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(sqrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(exp.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))))
(*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 kx) (sin.f64 ky)) (/.f64 (sqrt.f64 kx) (sin.f64 ky)))
(*.f64 (neg.f64 kx) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 kx (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (/.f64 (cbrt.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 kx) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 kx) #s(literal 1 binary64)) (/.f64 (sqrt.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 kx) (cbrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 (sqrt.f64 kx) (pow.f64 (cbrt.f64 (sin.f64 ky)) #s(literal 2 binary64))))
(pow.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) #s(literal -1 binary64))
(neg.f64 (/.f64 kx (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 kx) (pow.f64 (sin.f64 ky) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 kx #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (sin.f64 th) (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th)))
(+.f64 (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th)) (sin.f64 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))
(/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx))
(/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 kx #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 kx #s(literal 3 binary64)) (pow.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 kx #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify250.0ms (1.7%)

Algorithm
egg-herbie
Rules
745×fma-define
460×distribute-lft-in
458×distribute-rgt-in
343×*-commutative
297×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113629061
1315527420
Stop Event
node limit
Counts
577 → 544
Calls
Call 1
Inputs
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))) (+.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))))))) (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (*.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))))))))))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin.f64 th)
(+.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))))))
(+.f64 (sin.f64 th) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 (sin.f64 th) (+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th)
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 7/360 binary64) (*.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) th)
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 31/15120 binary64) (*.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 7/360 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))) th)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sin.f64 kx) (*.f64 ky (sin.f64 th)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 kx #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (sin.f64 th) (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))))
(+.f64 (sin.f64 th) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th)))
(+.f64 (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th)) (sin.f64 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 th) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 th) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 kx #s(literal 2 binary64))))
(/.f64 kx (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx))
(/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 kx #s(literal 2 binary64))) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 kx #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 kx #s(literal 3 binary64)) (pow.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 kx #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (sin.f64 ky))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) #s(literal 1/120 binary64))))))
(*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 th (+.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))))))
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))))))
(*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (pow.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (+.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
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(/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
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eval246.0ms (1.7%)

Compiler

Compiled 15126 to 8217 computations (45.7% saved)

prune200.0ms (1.4%)

Pruning

73 alts after pruning (67 fresh and 6 done)

PrunedKeptTotal
New62926655
Fresh84149
Picked325
Done044
Total64073713
Accuracy
100.0%
Counts
713 → 73
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.1%
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
17.3%
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
94.8%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
20.5%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
10.1%
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
18.7%
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
17.2%
(/.f64 (*.f64 th ky) (sin.f64 kx))
15.6%
(/.f64 (*.f64 th ky) kx)
25.3%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
19.3%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
99.7%
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
33.6%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
30.5%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
33.7%
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
26.2%
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
18.9%
(/.f64 ky (/.f64 (sin.f64 kx) th))
17.3%
(/.f64 ky (/.f64 kx th))
51.3%
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)) #s(literal 3 binary64)))
52.5%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
25.3%
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
30.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
36.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
25.3%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
31.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
15.6%
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
29.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
52.0%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
57.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
51.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
17.6%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
30.6%
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
33.7%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
30.6%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
17.2%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
3.2%
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
25.8%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
16.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 (+.f64 kx (*.f64 #s(literal 1/3 binary64) (*.f64 kx (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
23.4%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
50.4%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
14.8%
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
3.2%
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
52.2%
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
30.5%
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
99.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
29.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
33.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
22.1%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
33.6%
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
28.7%
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
24.6%
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
34.3%
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
29.4%
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
20.4%
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
18.4%
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
17.2%
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
52.2%
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
17.8%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
21.0%
(*.f64 ky (/.f64 (sin.f64 th) kx))
17.3%
(*.f64 ky (/.f64 th kx))
18.9%
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
22.5%
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
18.6%
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
14.5%
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
14.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
29.5%
(sin.f64 th)
33.1%
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
33.6%
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
31.5%
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
17.3%
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
32.5%
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
17.1%
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
Compiler

Compiled 2010 to 1069 computations (46.8% saved)

regimes320.0ms (2.2%)

Counts
108 → 1
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 (+.f64 kx (*.f64 #s(literal 1/3 binary64) (*.f64 kx (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 ky (sin.f64 th)))) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(pow.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 th)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx)))) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)))) (*.f64 ky (sin.f64 th))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (sin.f64 kx))) (/.f64 ky (sqrt.f64 (sin.f64 kx))))
(/.f64 (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (sin.f64 kx))) (sqrt.f64 (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) ky)) #s(literal 3 binary64)))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 th) (expm1.f64 (log1p.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
Calls

9 calls:

69.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
35.0ms
th
34.0ms
(sin.f64 th)
33.0ms
(sin.f64 ky)
32.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
99.7%1kx
99.7%1ky
99.7%1th
99.7%1(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
99.7%1(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
99.7%1(sin.f64 ky)
99.7%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
99.7%1(sin.f64 kx)
99.7%1(sin.f64 th)
Compiler

Compiled 69 to 53 computations (23.2% saved)

regimes225.0ms (1.5%)

Counts
94 → 1
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 (+.f64 kx (*.f64 #s(literal 1/3 binary64) (*.f64 kx (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 ky (sin.f64 th)))) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(pow.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 th)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx)))) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)))) (*.f64 ky (sin.f64 th))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Calls

6 calls:

81.0ms
(sin.f64 kx)
27.0ms
(sin.f64 th)
27.0ms
ky
27.0ms
th
26.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
99.7%1ky
99.7%1(sin.f64 ky)
99.7%1kx
99.7%1th
99.7%1(sin.f64 kx)
99.7%1(sin.f64 th)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes176.0ms (1.2%)

Counts
92 → 1
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 (+.f64 kx (*.f64 #s(literal 1/3 binary64) (*.f64 kx (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 ky (sin.f64 th)))) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(pow.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 th)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx)))) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)))) (*.f64 ky (sin.f64 th))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Calls

6 calls:

33.0ms
kx
28.0ms
(sin.f64 kx)
27.0ms
ky
27.0ms
(sin.f64 th)
26.0ms
th
Results
AccuracySegmentsBranch
99.7%1kx
99.7%1ky
99.7%1th
99.7%1(sin.f64 ky)
99.7%1(sin.f64 kx)
99.7%1(sin.f64 th)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes672.0ms (4.5%)

Counts
91 → 2
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 (+.f64 kx (*.f64 #s(literal 1/3 binary64) (*.f64 kx (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 ky (sin.f64 th)))) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(pow.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 th)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 kx) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 kx)))) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)))) (*.f64 ky (sin.f64 th))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(*.f64 (sin.f64 ky) (expm1.f64 (log1p.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (log.f64 (exp.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (log1p.f64 (expm1.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Calls

6 calls:

334.0ms
ky
75.0ms
(sin.f64 kx)
71.0ms
kx
68.0ms
(sin.f64 th)
65.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
62.9%4kx
80.9%4ky
78.9%2th
79.2%3(sin.f64 ky)
66.8%6(sin.f64 kx)
79.0%3(sin.f64 th)
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes115.0ms (0.8%)

Counts
81 → 4
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 (+.f64 kx (*.f64 #s(literal 1/3 binary64) (*.f64 kx (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 ky (sin.f64 th)))) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(pow.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 th)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
Outputs
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
(sin.f64 th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th)))
Calls

2 calls:

62.0ms
ky
44.0ms
th
Results
AccuracySegmentsBranch
80.9%4ky
74.3%2th
Compiler

Compiled 8 to 6 computations (25% saved)

regimes379.0ms (2.6%)

Counts
78 → 3
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 (+.f64 kx (*.f64 #s(literal 1/3 binary64) (*.f64 kx (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 ky (sin.f64 th)))) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (cbrt.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))))
(pow.f64 (pow.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 ky (sin.f64 th))))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 th)
Calls

4 calls:

207.0ms
(sin.f64 ky)
63.0ms
th
62.0ms
(sin.f64 th)
40.0ms
ky
Results
AccuracySegmentsBranch
54.1%3th
54.1%3(sin.f64 th)
66.7%3(sin.f64 ky)
64.9%2ky
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes64.0ms (0.4%)

Counts
72 → 3
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 (+.f64 kx (*.f64 #s(literal 1/3 binary64) (*.f64 kx (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 ky (sin.f64 th)))) (sin.f64 kx))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 th)
Calls

1 calls:

57.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
66.7%3(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes254.0ms (1.7%)

Counts
71 → 4
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 (+.f64 kx (*.f64 #s(literal 1/3 binary64) (*.f64 kx (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (expm1.f64 (log1p.f64 (*.f64 ky (sin.f64 th)))) (sin.f64 kx))
Outputs
(*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx))))
(sin.f64 th)
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
Calls

4 calls:

121.0ms
(sin.f64 kx)
53.0ms
kx
37.0ms
ky
35.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
51.6%3kx
56.8%4(sin.f64 kx)
48.5%2ky
50.3%2(sin.f64 ky)
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes69.0ms (0.5%)

Counts
69 → 4
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 (+.f64 kx (*.f64 #s(literal 1/3 binary64) (*.f64 kx (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
Outputs
(fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))
(sin.f64 th)
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
Calls

1 calls:

63.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
56.7%4(sin.f64 kx)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes68.0ms (0.5%)

Counts
68 → 4
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 1 binary64)) th)
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th ky)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 ky #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 kx (sin.f64 ky)) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 th (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (pow.f64 th #s(literal 2 binary64))) (sin.f64 kx))) (/.f64 ky (sin.f64 kx))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 (+.f64 kx (*.f64 #s(literal 1/3 binary64) (*.f64 kx (pow.f64 ky #s(literal 2 binary64))))) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(exp.f64 (log.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))))
Outputs
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(sin.f64 th)
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
Calls

1 calls:

62.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
55.8%4(sin.f64 kx)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes172.0ms (1.2%)

Counts
57 → 3
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 ky (pow.f64 (pow.f64 (/.f64 th (sin.f64 kx)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
Outputs
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(sin.f64 th)
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
Calls

3 calls:

86.0ms
th
41.0ms
(sin.f64 kx)
41.0ms
(sin.f64 th)
Results
AccuracySegmentsBranch
43.1%7th
42.4%5(sin.f64 th)
53.8%3(sin.f64 kx)
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes42.0ms (0.3%)

Counts
52 → 3
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (fabs.f64 (*.f64 ky (sin.f64 th))) (sin.f64 kx))
Outputs
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
Calls

1 calls:

38.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
53.8%3(sin.f64 kx)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes45.0ms (0.3%)

Counts
50 → 3
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 ky)))
Outputs
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(sin.f64 th)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

1 calls:

41.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
53.8%3(sin.f64 kx)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes156.0ms (1.1%)

Counts
48 → 3
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 ky (expm1.f64 (log1p.f64 (/.f64 th (sin.f64 kx)))))
Outputs
(fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))))
(sin.f64 th)
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
Calls

3 calls:

99.0ms
(sin.f64 kx)
27.0ms
kx
27.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
47.2%2kx
48.3%2(sin.f64 ky)
51.4%3(sin.f64 kx)
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes59.0ms (0.4%)

Counts
46 → 2
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) kx)
(pow.f64 (cbrt.f64 (/.f64 ky (/.f64 kx th))) #s(literal 3 binary64))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 ky (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 kx) ky) (sin.f64 th)))
(pow.f64 (pow.f64 (/.f64 ky (/.f64 kx th)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) th) (pow.f64 ky #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 kx ky) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (+.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky (pow.f64 th #s(literal 2 binary64)))))) (sin.f64 kx))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
Outputs
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
Calls

2 calls:

32.0ms
(sin.f64 kx)
23.0ms
ky
Results
AccuracySegmentsBranch
48.5%2ky
49.1%3(sin.f64 kx)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes21.0ms (0.1%)

Counts
28 → 2
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 th (/.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
Outputs
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
Calls

1 calls:

19.0ms
ky
Results
AccuracySegmentsBranch
48.5%2ky
Compiler

Compiled 4 to 3 computations (25% saved)

regimes51.0ms (0.3%)

Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 ky (/.f64 (sin.f64 th) kx))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 ky (/.f64 (sin.f64 kx) th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 th ky) (sin.f64 kx))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) th)))
(*.f64 (*.f64 #s(literal 1/6 binary64) kx) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 th ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 th ky)))
(/.f64 (*.f64 th (*.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) #s(literal 1/6 binary64)))) kx)
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) (sin.f64 th))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(exp.f64 (log.f64 (/.f64 ky (/.f64 kx th))))
(expm1.f64 (log1p.f64 (/.f64 ky (/.f64 kx th))))
(*.f64 ky (fabs.f64 (/.f64 th (sin.f64 kx))))
Outputs
(*.f64 ky (/.f64 (sin.f64 th) kx))
(sin.f64 th)
Calls

3 calls:

19.0ms
kx
18.0ms
(sin.f64 kx)
13.0ms
ky
Results
AccuracySegmentsBranch
40.2%2kx
40.5%3(sin.f64 kx)
41.8%2ky
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes18.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
Outputs
(*.f64 ky (/.f64 th (sin.f64 kx)))
(sin.f64 th)
Calls

3 calls:

7.0ms
(sin.f64 kx)
5.0ms
ky
5.0ms
kx
Results
AccuracySegmentsBranch
37.1%3(sin.f64 kx)
36.6%2kx
38.9%2ky
Compiler

Compiled 13 to 10 computations (23.1% saved)

regimes7.0ms (0%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
(sin.f64 th)
Outputs
(/.f64 ky (/.f64 kx th))
(sin.f64 th)
Calls

1 calls:

6.0ms
ky
Results
AccuracySegmentsBranch
38.8%2ky
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
(/.f64 ky (/.f64 kx th))
(/.f64 (*.f64 th ky) kx)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 th ky)))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 th ky)))
Outputs
(/.f64 ky (/.f64 kx th))
Calls

3 calls:

3.0ms
kx
2.0ms
ky
2.0ms
th
Results
AccuracySegmentsBranch
17.3%1th
17.3%1kx
17.3%1ky
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 ky (/.f64 th kx))
Outputs
(*.f64 ky (/.f64 th kx))
Calls

3 calls:

0.0ms
kx
0.0ms
ky
0.0ms
th
Results
AccuracySegmentsBranch
17.3%1th
17.3%1kx
17.3%1ky
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch22.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
8.222633630464667e-7
3.3082227669792892e-6
Results
17.0ms96×0valid
Compiler

Compiled 217 to 157 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sin: 6.0ms (53.5% of total)
ival-pow: 2.0ms (17.8% of total)
ival-div: 1.0ms (8.9% of total)
ival-add: 1.0ms (8.9% of total)
ival-mult: 1.0ms (8.9% of total)
ival-sqrt: 1.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch106.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
2.938970758630286e+77
4.232163745979949e+77
59.0ms
5.961293809900592e+54
2.9497018315652277e+59
26.0ms
8.520044413279815e-10
1.5195702090735473e-5
Results
89.0ms320×0valid
Compiler

Compiled 529 to 379 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-sin: 24.0ms (58.9% of total)
ival-pow: 7.0ms (17.2% of total)
ival-div: 2.0ms (4.9% of total)
ival-add: 2.0ms (4.9% of total)
ival-mult: 2.0ms (4.9% of total)
ival-sqrt: 2.0ms (4.9% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.520044413279815e-10
1.5195702090150668e-5
0.0ms
-0.053248343398504594
4.229525849638565e-309
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
8.520044413279815e-10
1.5195702090150668e-5
0.0ms
-0.053248343398504594
4.229525849638565e-309
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.6628690088018065e-13
1.5429203243056092e-9
0.0ms
5.055422081081837e-185
5.255427777846138e-180
0.0ms
-0.07832101308542751
-0.008588658763508259
Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.6628690088018065e-13
1.5429203243056092e-9
0.0ms
5.055422081081837e-185
5.255427777846138e-180
0.0ms
-0.07832101308542751
-0.008588658763508259
Compiler

Compiled 25 to 19 computations (24% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.6628690088018065e-13
1.5429203243056092e-9
0.0ms
5.055422081081837e-185
5.255427777846138e-180
0.0ms
-0.07832101308542751
-0.008588658763508259
Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4981787421205646e-42
1.42328340103641e-41
0.0ms
-0.07832101308542751
-0.008588658763508259
Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4981787421205646e-42
1.42328340103641e-41
0.0ms
-0.07832101308542751
-0.008588658763508259
Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.4981787421205646e-42
1.42328340103641e-41
0.0ms
-0.07832101308542751
-0.008588658763508259
Compiler

Compiled 25 to 19 computations (24% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.6628690088018065e-13
1.5429203243056092e-9
0.0ms
-0.07832101308542751
-0.008588658763508259
Compiler

Compiled 25 to 19 computations (24% saved)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
27.0ms
5.752320301459236e-79
2.2899632178062594e-76
Results
22.0ms128×0valid
Compiler

Compiled 161 to 123 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 8.0ms (56.8% of total)
ival-pow: 3.0ms (21.3% of total)
ival-div: 1.0ms (7.1% of total)
ival-add: 1.0ms (7.1% of total)
ival-mult: 1.0ms (7.1% of total)
ival-sqrt: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
5.752320301459236e-79
2.2899632178062594e-76
Results
21.0ms128×0valid
Compiler

Compiled 161 to 123 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 7.0ms (54.5% of total)
ival-pow: 3.0ms (23.4% of total)
ival-div: 1.0ms (7.8% of total)
ival-add: 1.0ms (7.8% of total)
ival-mult: 1.0ms (7.8% of total)
ival-sqrt: 1.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
1.8128074608579465e-175
6.896498680036823e-174
Results
21.0ms112×0valid
Compiler

Compiled 137 to 103 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 9.0ms (61.4% of total)
ival-pow: 2.0ms (13.6% of total)
ival-div: 1.0ms (6.8% of total)
ival-add: 1.0ms (6.8% of total)
ival-mult: 1.0ms (6.8% of total)
ival-sqrt: 1.0ms (6.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch90.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
89.0ms
3.756346070442777e-179
2.311539428860879e-178
Results
85.0ms96×0valid
Compiler

Compiled 121 to 91 computations (24.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-sqrt: 71.0ms (88.9% of total)
ival-sin: 5.0ms (6.3% of total)
ival-pow: 2.0ms (2.5% of total)
ival-div: 1.0ms (1.3% of total)
ival-mult: 1.0ms (1.3% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
41.0ms
3.756346070442777e-179
2.311539428860879e-178
Results
15.0ms96×0valid
Compiler

Compiled 115 to 85 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 5.0ms (52.1% of total)
ival-pow: 2.0ms (20.8% of total)
ival-div: 1.0ms (10.4% of total)
ival-mult: 1.0ms (10.4% of total)
ival-sqrt: 1.0ms (10.4% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify18.0ms (0.1%)

Algorithm
egg-herbie
Rules
15×*-commutative
fabs-mul
1-exp
if-if-or-not
fabs-div
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121834
11441834
21461834
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 th #s(literal 7791904696734915/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 ky #s(literal 8854437155380585/590295810358705651712 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 ky #s(literal 949999999999999967528300171191754122690465551316592623616 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) (if (<=.f64 ky #s(literal 329999999999999980177207409951018902498300814954021559732731551430199857905664 binary64)) (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 3827252586451049/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 kx) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 3827252586451049/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 kx) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 3827252586451049/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 kx) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 7846377169233351/1569275433846670190958947355801916604025588861116008628224 binary64)) (sin.f64 th) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 7846377169233351/1569275433846670190958947355801916604025588861116008628224 binary64)) (sin.f64 th) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 7846377169233351/1569275433846670190958947355801916604025588861116008628224 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (sin.f64 th) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 ky #s(literal 8865180569007683/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 5345182401901691/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 4678283836429009/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 2646215558220873/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 467650163306275/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (/.f64 ky (/.f64 kx th)) (sin.f64 th))
(/.f64 ky (/.f64 kx th))
(*.f64 ky (/.f64 th kx))
Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 th #s(literal 7791904696734915/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 th #s(literal 7791904696734915/2361183241434822606848 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) th))) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 ky #s(literal 8854437155380585/590295810358705651712 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 ky #s(literal 949999999999999967528300171191754122690465551316592623616 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))) (if (<=.f64 ky #s(literal 329999999999999980177207409951018902498300814954021559732731551430199857905664 binary64)) (sin.f64 th) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) th))))))
(if (<=.f64 ky #s(literal 8854437155380585/590295810358705651712 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (or (<=.f64 ky #s(literal 949999999999999967528300171191754122690465551316592623616 binary64)) (not (<=.f64 ky #s(literal 329999999999999980177207409951018902498300814954021559732731551430199857905664 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 th (sin.f64 ky)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th)))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (*.f64 (sin.f64 ky) (fabs.f64 (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 3827252586451049/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 kx) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 3827252586451049/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 kx) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 3827252586451049/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 kx) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th))))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 7846377169233351/1569275433846670190958947355801916604025588861116008628224 binary64)) (sin.f64 th) (/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 7846377169233351/1569275433846670190958947355801916604025588861116008628224 binary64)) (sin.f64 th) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 7846377169233351/1569275433846670190958947355801916604025588861116008628224 binary64)) (sin.f64 th) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 7846377169233351/1569275433846670190958947355801916604025588861116008628224 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (sin.f64 th) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (sin.f64 kx) #s(literal -3602879701896397/72057594037927936 binary64)) (fabs.f64 (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))) (if (<=.f64 (sin.f64 kx) #s(literal 4951760157141521/9903520314283042199192993792 binary64)) (sin.f64 th) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(if (<=.f64 ky #s(literal 8865180569007683/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 8865180569007683/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 5345182401901691/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 4678283836429009/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) (*.f64 ky (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 ky #s(literal 2646215558220873/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 ky #s(literal 467650163306275/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (/.f64 ky (/.f64 kx th)) (sin.f64 th))
(/.f64 ky (/.f64 kx th))
(*.f64 ky (/.f64 th kx))

soundness2.0s (13.6%)

Rules
968×fma-define
887×log1p-expm1-u
817×prod-diff
805×expm1-log1p-u
794×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053717
1111529
2240529
3420529
4940529
52219529
63233529
73758529
84126529
94217529
104256529
114256529
034421
1545397
27893397
070417449
1189116557
2710516557
0113629061
1315527420
038378
1631356
0121535331
1337133600
030367
1470341
26571341
022185
1318185
23815185
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 1409 to 519 computations (63.2% saved)

preprocess312.0ms (2.1%)

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1322 to 534 computations (59.6% saved)

end0.0ms (0%)

Profiling

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