Migdal et al, Equation (64)

Time bar (total: 8.7s)

analyze0.0ms (0%)

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

Compiled 23 to 16 computations (30.4% saved)

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

sample1.8s (20.3%)

Results
817.0ms4668×0valid
551.0ms3588×0infinite
Precisions
Click to see histograms. Total time spent on operations: 875.0ms
ival-mult: 280.0ms (32% of total)
ival-cos: 254.0ms (29% of total)
ival-sqrt: 139.0ms (15.9% of total)
ival-div: 129.0ms (14.7% of total)
ival-add: 49.0ms (5.6% of total)
const: 18.0ms (2.1% of total)
backward-pass: 4.0ms (0.5% of total)
Bogosity

preprocess196.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
1241×fma-define
680×times-frac
547×fma-neg
460×div-sub
356×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048606
1145562
2421562
31139562
42837562
55639562
66583562
77394562
87471562
97487562
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a2) (neg.f64 a2))))
(+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a2) (neg.f64 a2)))))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a2) (neg.f64 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 a2) (neg.f64 a2)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)) (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(*.f64 (cos.f64 a1) (/.f64 (fma.f64 th th (*.f64 a2 a2)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th th)))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 th th (*.f64 a1 a1)))
Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

explain207.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1))
00-0-a2
00-0-(cos.f64 th)
00-0-(*.f64 a2 a2)
00-0-(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
00-0-#s(literal 2 binary64)
00-0-(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
00-0-(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2))
00-0-th
00-0-(sqrt.f64 #s(literal 2 binary64))
00-0-(*.f64 a1 a1)
00-0-a1
Results
86.0ms304×256valid
61.0ms208×256infinite
Compiler

Compiled 142 to 75 computations (47.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 34.0ms (37% of total)
ival-sqrt: 22.0ms (23.9% of total)
ival-div: 16.0ms (17.4% of total)
ival-cos: 13.0ms (14.1% of total)
ival-add: 4.0ms (4.4% of total)
const: 2.0ms (2.2% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

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

Compiled 15 to 10 computations (33.3% saved)

localize65.0ms (0.7%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓99.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓98.9%
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
28.0ms152×256valid
18.0ms104×256infinite
Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-cos: 9.0ms (31.1% of total)
ival-sqrt: 6.0ms (20.8% of total)
ival-mult: 5.0ms (17.3% of total)
composed: 4.0ms (13.8% of total)
ival-div: 3.0ms (10.4% of total)
ival-add: 1.0ms (3.5% of total)
const: 1.0ms (3.5% of total)

series15.0ms (0.2%)

Counts
3 → 64
Calls
Call 1
Inputs
#<alt (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))>
#<alt (fma.f64 a1 a1 (*.f64 a2 a2))>
Outputs
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
Calls

18 calls:

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

rewrite289.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
864×log1p-expm1-u
864×expm1-log1p-u
473×log-prod
168×pow-to-exp
167×log-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01889
119479
2237979
Stop Event
1×node limit
Counts
3 → 161
Calls
Call 1
Inputs
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 th) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2/3 binary64)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2/3 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2/3 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2/3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (cos.f64 th) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (cos.f64 th) (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)) #s(literal 1 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) #s(literal 3 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2/3 binary64)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (cos.f64 th) #s(literal 1 binary64)) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (hypot.f64 a1 a2)) (hypot.f64 a1 a2))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2/3 binary64))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 6 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64)) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)))
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))) (exp.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64)))) (exp.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 a1 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 a2) a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a2 #s(literal 2/3 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 a1) a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 a1 #s(literal 2/3 binary64)) (pow.f64 a1 #s(literal 2/3 binary64))) (pow.f64 a1 #s(literal 2/3 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (*.f64 a1 (pow.f64 a1 #s(literal 2/3 binary64))) (cbrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a2 (pow.f64 a2 #s(literal 2/3 binary64))) (cbrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))

simplify125.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
529×associate-*l/
471×distribute-lft-in
356×distribute-rgt-in
267×distribute-lft-neg-out
262×distribute-rgt-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0424111669157630
1903111669156925
23264111669156863
Stop Event
1×node limit
Counts
225 → 209
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(pow.f64 a2 #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
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(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)))
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))) (exp.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64)))) (exp.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(log.f64 (*.f64 (exp.f64 (pow.f64 a1 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 a2) a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a2 #s(literal 2/3 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 a1) a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 a1 #s(literal 2/3 binary64)) (pow.f64 a1 #s(literal 2/3 binary64))) (pow.f64 a1 #s(literal 2/3 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (*.f64 a1 (pow.f64 a1 #s(literal 2/3 binary64))) (cbrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a2 (pow.f64 a2 #s(literal 2/3 binary64))) (cbrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
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(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)))
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(log.f64 (*.f64 (exp.f64 (pow.f64 a2 #s(literal 2 binary64))) (exp.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64)))) (exp.f64 (pow.f64 a1 #s(literal 2 binary64)))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(log.f64 (*.f64 (exp.f64 (pow.f64 a1 #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 a2 #s(literal 2 binary64))))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))) #s(literal 1 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64))) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2/3 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 (pow.f64 a2 #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 a2) a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 5/3 binary64)) (cbrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a2 #s(literal 2/3 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 2/3 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 a1) a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 5/3 binary64)) (cbrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2) (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 (*.f64 (pow.f64 a1 #s(literal 2/3 binary64)) (pow.f64 a1 #s(literal 2/3 binary64))) (pow.f64 a1 #s(literal 2/3 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 (pow.f64 a1 #s(literal 2/3 binary64)) #s(literal 3 binary64)))
(fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 (*.f64 a1 (pow.f64 a1 #s(literal 2/3 binary64))) (cbrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 5/3 binary64)) (cbrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a2 (pow.f64 a2 #s(literal 2/3 binary64))) (cbrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 5/3 binary64)) (cbrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))

eval272.0ms (3.1%)

Compiler

Compiled 3604 to 2203 computations (38.9% saved)

prune75.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New19910209
Fresh000
Picked011
Done000
Total19911210
Accuracy
100.0%
Counts
210 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.0%
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
99.0%
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
▶99.0%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
✓99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
▶64.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
▶99.6%
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
▶99.6%
(*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
99.6%
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶99.6%
(*.f64 (cos.f64 th) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
63.0%
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))))
Compiler

Compiled 297 to 232 computations (21.9% saved)

localize382.0ms (4.4%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
✓99.8%
(*.f64 (cos.f64 th) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
✓99.7%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓99.7%
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓99.7%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
✓99.7%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
98.9%
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓98.4%
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓100.0%
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
✓99.9%
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
✓99.6%
(*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
Results
114.0ms152×256valid
195.0ms104×256infinite
Compiler

Compiled 173 to 86 computations (50.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-pow: 67.0ms (45.7% of total)
ival-mult: 30.0ms (20.4% of total)
ival-sqrt: 14.0ms (9.5% of total)
composed: 12.0ms (8.2% of total)
ival-div: 7.0ms (4.8% of total)
ival-cos: 7.0ms (4.8% of total)
const: 5.0ms (3.4% of total)
ival-add: 3.0ms (2% of total)

series49.0ms (0.6%)

Counts
11 → 276
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))>
#<alt (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))>
#<alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))>
#<alt (*.f64 (cos.f64 th) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))>
#<alt (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
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#<alt (+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (pow.f64 a1 #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
Calls

69 calls:

TimeVariablePointExpression
7.0ms
th
@0
(* (* (cos th) (pow (sqrt (+ (* a1 a1) (* a2 a2))) 2)) (pow 2 -1/2))
3.0ms
a2
@0
(* (cos th) (* (pow 2 -1/2) (pow (sqrt (+ (* a1 a1) (* a2 a2))) 2)))
2.0ms
th
@inf
(* (* (cos th) (pow (sqrt (+ (* a1 a1) (* a2 a2))) 2)) (pow 2 -1/2))
1.0ms
a2
@0
(* (pow a2 2) (/ (cos th) (sqrt 2)))
1.0ms
th
@inf
(* (pow a2 2) (/ (cos th) (sqrt 2)))

rewrite206.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
845×log1p-expm1-u
845×expm1-log1p-u
254×log1p-undefine
179×associate-*r*
156×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032324
1451310
24565310
Stop Event
1×node limit
Counts
11 → 529
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (cos.f64 th)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 th) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (*.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 2 binary64) #s(literal -1/4 binary64))) (cos.f64 th)))
(*.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
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(/.f64 (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))) #s(literal 1 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64))) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (cbrt.f64 a2) a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a1) a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64))) (cbrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a2 (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))

simplify343.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
380×*-commutative
374×distribute-lft-in
363×distribute-rgt-in
301×distribute-lft-neg-out
289×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071535360
1157732598
2433032106
Stop Event
1×node limit
Counts
805 → 419
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (cos.f64 th) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)) (pow.f64 a2 #s(literal 2 binary64)))))
(pow.f64 a2 #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 a1 #s(literal 2 binary64))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(pow.f64 a1 #s(literal 2 binary64))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
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(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)))
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(fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64))) (cbrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a2 (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))
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(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 a1 a2)) (hypot.f64 a1 a2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 a1 a2)) (*.f64 (sqrt.f64 (hypot.f64 a1 a2)) (hypot.f64 a1 a2)))
(*.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (hypot.f64 a1 a2))) (sqrt.f64 (hypot.f64 a1 a2)))
(*.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 a1 a2)))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))) #s(literal 1 binary64)))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64))) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (cbrt.f64 a2) a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a1) a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64))) (cbrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a2 (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
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(exp.f64 (log.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(fma.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(+.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 a1 a2)) (hypot.f64 a1 a2)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 a1 a2)) (*.f64 (sqrt.f64 (hypot.f64 a1 a2)) (hypot.f64 a1 a2)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (hypot.f64 a1 a2))) (sqrt.f64 (hypot.f64 a1 a2)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(*.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 a1 a2)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 a1 #s(literal 6 binary64)) (pow.f64 a2 #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 a2 #s(literal 4 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a1 #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))) (-.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 a1 a2))) #s(literal 1 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 a1 a1 (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 a2 a2 (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64))) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (cbrt.f64 a2) a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64))) (*.f64 a2 (cbrt.f64 a2)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64))) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a1) a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (*.f64 a1 (cbrt.f64 a1)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a2) (*.f64 a2 (sqrt.f64 a2)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a1) (*.f64 a1 (sqrt.f64 a1)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
(fma.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a2) (*.f64 a2 (sqrt.f64 a2)) (pow.f64 a1 #s(literal 2 binary64)))
(fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 a1) (*.f64 a1 (sqrt.f64 a1)) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64))) (cbrt.f64 a1) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (*.f64 a2 (cbrt.f64 (pow.f64 a2 #s(literal 2 binary64)))) (cbrt.f64 a2) (pow.f64 a1 #s(literal 2 binary64)))

eval381.0ms (4.4%)

Compiler

Compiled 12369 to 8121 computations (34.3% saved)

prune136.0ms (1.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New76511776
Fresh505
Picked325
Done011
Total77314787
Accuracy
100.0%
Counts
787 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
63.9%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
▶13.6%
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓99.0%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
63.9%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓64.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
▶13.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
▶99.6%
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
99.0%
(*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) a2) a2)
99.1%
(*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
▶64.0%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
99.1%
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
▶55.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
Compiler

Compiled 291 to 236 computations (18.9% saved)

localize318.0ms (3.7%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))
✓99.7%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
✓78.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓99.7%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
98.4%
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
✓99.6%
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
100.0%
(pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))
✓99.8%
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
✓99.7%
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
Results
98.0ms152×256valid
99.0ms104×256infinite
Compiler

Compiled 123 to 71 computations (42.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-pow: 74.0ms (44.1% of total)
ival-mult: 31.0ms (18.5% of total)
ival-sqrt: 23.0ms (13.7% of total)
composed: 20.0ms (11.9% of total)
ival-cos: 7.0ms (4.2% of total)
ival-div: 5.0ms (3% of total)
const: 4.0ms (2.4% of total)
ival-add: 3.0ms (1.8% of total)

series24.0ms (0.3%)

Counts
8 → 168
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))>
#<alt (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))>
Outputs
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
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#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
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#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64)))) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64)))) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (pow.f64 a2 #s(literal 4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 4 binary64)))>
#<alt (pow.f64 a1 #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))>
#<alt (pow.f64 a1 #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 a1 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (/.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 a1 #s(literal 4 binary64))))))>
#<alt (pow.f64 a1 #s(literal 4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a1 #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a1 #s(literal 4 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a1 #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))) (pow.f64 a1 #s(literal 4 binary64)))>
#<alt (pow.f64 a2 #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))))>
#<alt (pow.f64 a2 #s(literal 4 binary64))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (/.f64 (pow.f64 a1 #s(literal 4 binary64)) (pow.f64 a2 #s(literal 4 binary64))))))>
Calls

45 calls:

TimeVariablePointExpression
5.0ms
a1
@0
(* 1/2 (pow (sqrt (+ (* a1 a1) (* a2 a2))) 4))
1.0ms
a1
@0
(/ (pow a1 2) (sqrt 2))
1.0ms
a1
@inf
(* 1/2 (pow (sqrt (+ (* a1 a1) (* a2 a2))) 4))
1.0ms
a1
@inf
(/ (pow a1 2) (sqrt 2))
0.0ms
a2
@inf
(* 1/2 (pow (sqrt (+ (* a1 a1) (* a2 a2))) 4))

rewrite185.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
818×log1p-expm1-u
818×expm1-log1p-u
250×log1p-undefine
207×fma-define
202×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032213
1432213
24407213
Stop Event
1×node limit
Counts
8 → 470
Calls
Call 1
Inputs
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
(pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))
Outputs
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (hypot.f64 a1 a2)) (hypot.f64 a1 a2))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(fabs.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a1 a2)) (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
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(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a1 a2))))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a1 a2))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))

simplify372.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
591×distribute-lft-in
561×distribute-rgt-in
475×associate-*r*
429×associate-*l*
254×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053427948
1119425643
2414925614
Stop Event
1×node limit
Counts
638 → 336
Calls
Call 1
Inputs
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))))
(+.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))))))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
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(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 3 binary64)) (hypot.f64 a1 a2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 a1 a2)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 a1 a2)) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a1 a2))))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a1 a2))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
Outputs
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (cos.f64 th) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
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(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (+.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))))
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(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 (cbrt.f64 (pow.f64 a1 #s(literal 4 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64)))))
(*.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))) (*.f64 (hypot.f64 a1 a2) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64)))))
(*.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))) #s(literal 4 binary64)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a1 a2)) (log.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a1 a2)) (log.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64)))
(+.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(+.f64 (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(*.f64 (hypot.f64 a1 a2) (pow.f64 (hypot.f64 a1 a2) #s(literal 3 binary64)))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 3 binary64)) (hypot.f64 a1 a2))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 a2 a1)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 a1 a2)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 a1 a2)) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 (hypot.f64 a2 a1)) #s(literal 8 binary64))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 2 binary64)))))
(pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))) #s(literal 3 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 8 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)))))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) #s(literal 3 binary64)))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a1 a2))))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 (hypot.f64 a1 a2))) #s(literal 1 binary64)))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(fma.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a1 #s(literal 2 binary64)) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (pow.f64 a2 #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))
(fma.f64 (pow.f64 a1 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 a2 a1) #s(literal 4 binary64))

eval236.0ms (2.7%)

Compiler

Compiled 7065 to 4981 computations (29.5% saved)

prune171.0ms (2%)

Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New4727479
Fresh156
Picked145
Done033
Total47419493
Accuracy
100.0%
Counts
493 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶13.6%
(pow.f64 (*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
99.0%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
63.9%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓13.6%
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓99.0%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
63.9%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓64.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓13.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
✓99.6%
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
99.1%
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
99.0%
(*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) a2) a2)
13.6%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)
▶99.1%
(*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓64.0%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
▶63.9%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
▶13.6%
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
55.4%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
▶17.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
Compiler

Compiled 333 to 275 computations (17.4% saved)

localize315.0ms (3.6%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓99.6%
(pow.f64 (*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
✓99.4%
(*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
✓99.7%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
✓76.3%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
✓99.8%
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
✓99.2%
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
✓99.9%
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
✓99.6%
(*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
Results
123.0ms152×256valid
130.0ms104×256infinite
Compiler

Compiled 94 to 70 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-pow: 133.0ms (67.2% of total)
ival-mult: 32.0ms (16.2% of total)
ival-sqrt: 17.0ms (8.6% of total)
ival-cos: 7.0ms (3.5% of total)
const: 5.0ms (2.5% of total)
ival-div: 4.0ms (2% of total)

series66.0ms (0.8%)

Counts
8 → 108
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))>
#<alt (pow.f64 (*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (pow.f64 a2 #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))))) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 a2 #s(literal 2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (pow.f64 a2 #s(literal 2 binary64))))))) (pow.f64 a2 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) a1)>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
Calls

30 calls:

TimeVariablePointExpression
47.0ms
a1
@0
(* a1 (pow 1/2 1/4))
3.0ms
a1
@inf
(pow (* a1 (pow 1/2 1/4)) 2)
2.0ms
a2
@inf
(* (* (cos th) (pow a2 2)) (sqrt 1/2))
1.0ms
th
@0
(* (* (cos th) (pow a2 2)) (sqrt 1/2))
1.0ms
a2
@0
(* (* (cos th) (pow a2 2)) (sqrt 1/2))

rewrite200.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
920×log1p-expm1-u
920×expm1-log1p-u
290×log1p-undefine
173×associate-*r*
169×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029169
1392166
24666166
Stop Event
1×node limit
Counts
8 → 293
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))
(/.f64 a1 (sqrt.f64 #s(literal 2 binary64)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 4 binary64)) (pow.f64 (cos.f64 th) #s(literal 2 binary64))))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 a2 (sqrt.f64 (cos.f64 th)))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 a2 (sqrt.f64 (cos.f64 th)))))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64)))
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(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a1 #s(literal 8 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a1 #s(literal 8 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1)
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 a1) (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (*.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (pow.f64 a2 #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 a2) #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) a1)
(*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a1) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) a1))
(*.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (*.f64 a1 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64))) (cbrt.f64 a1))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 a1)) (sqrt.f64 a1))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(fabs.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 a1 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 a1 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a1 #s(literal 8 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a1 #s(literal 8 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1)
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 a1) (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify151.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
722×fma-define
519×associate-*r*
466×associate-*l*
370×distribute-lft-neg-out
339×distribute-rgt-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054610423
1108110331
2373210319
Stop Event
1×node limit
Counts
401 → 288
Calls
Call 1
Inputs
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
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(pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 a2 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a2 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) a1)
(*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a1) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) a1))
(*.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (*.f64 a1 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64))) (cbrt.f64 a1))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 a1)) (sqrt.f64 a1))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(fabs.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 a1 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 a1 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a1 #s(literal 8 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a1 #s(literal 8 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1)
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(exp.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 a1) (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/24 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(+.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 #s(literal 1/24 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))) #s(literal -1/720 binary64))) (pow.f64 th #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 th #s(literal 2 binary64))))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cos.f64 th)))
(pow.f64 a2 #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (pow.f64 th #s(literal 2 binary64)))) (pow.f64 a2 #s(literal 2 binary64)))
(fma.f64 (pow.f64 a2 #s(literal 2 binary64)) (*.f64 (pow.f64 th #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
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(cbrt.f64 (pow.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (pow.f64 a2 #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) a1)
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
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(*.f64 a1 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64)) (*.f64 (cbrt.f64 a1) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)) a1))
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(*.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (*.f64 a1 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 a1 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/8 binary64)))
(*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 a1) #s(literal 2 binary64))) (cbrt.f64 a1))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 a1)) (sqrt.f64 a1))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(fabs.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 a1 #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 a1 #s(literal 3 binary64))))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 a1 (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 a1 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 a1 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a1 #s(literal 8 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a1 #s(literal 8 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a1 #s(literal 8 binary64))))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) a1)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))) (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 a1 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (log.f64 a1) (log.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a1 #s(literal 2 binary64)))

eval87.0ms (1%)

Compiler

Compiled 3356 to 2612 computations (22.2% saved)

prune69.0ms (0.8%)

Pruning

23 alts after pruning (12 fresh and 11 done)

PrunedKeptTotal
New2826288
Fresh167
Picked055
Done167
Total28423307
Accuracy
100.0%
Counts
307 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓13.6%
(pow.f64 (*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
99.0%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
63.9%
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
13.6%
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
13.6%
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
✓99.0%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
63.9%
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
✓99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓64.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓13.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
✓99.6%
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
99.1%
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
99.0%
(*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) a2) a2)
99.1%
(*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 1/2 binary64)))
64.0%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
✓99.1%
(*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓64.0%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
✓63.9%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
✓13.6%
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
13.6%
(*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
13.6%
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
55.4%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
✓17.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
Compiler

Compiled 587 to 420 computations (28.4% saved)

regimes78.0ms (0.9%)

Counts
36 → 1
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) a2) a2)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 th) #s(literal 2 binary64)) #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
Calls

8 calls:

12.0ms
th
11.0ms
a1
11.0ms
a2
9.0ms
(*.f64 a2 a2)
9.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 a2 a2)))
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(cos.f64 th)
99.6%1(*.f64 a1 a1)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes64.0ms (0.7%)

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

6 calls:

10.0ms
th
10.0ms
a2
9.0ms
a1
8.0ms
(cos.f64 th)
8.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(cos.f64 th)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes57.0ms (0.6%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) a2) a2)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (hypot.f64 a1 a2) #s(literal 4 binary64))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (cos.f64 th) (pow.f64 a2 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 a2 #s(literal 2 binary64)) (cos.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
Calls

6 calls:

12.0ms
a1
9.0ms
a2
9.0ms
th
8.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
8.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(cos.f64 th)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes54.0ms (0.6%)

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

6 calls:

12.0ms
a2
9.0ms
(cos.f64 th)
8.0ms
a1
8.0ms
th
7.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.6%1(cos.f64 th)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes47.0ms (0.5%)

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

6 calls:

9.0ms
a2
8.0ms
th
8.0ms
a1
7.0ms
(*.f64 a2 a2)
7.0ms
(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
99.1%1a1
99.1%1a2
99.1%1th
99.1%1(/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64)))
99.1%1(cos.f64 th)
99.1%1(*.f64 a2 a2)
Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes22.0ms (0.3%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a1) a1)
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(/.f64 a1 (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1))
(*.f64 a1 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) a1)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a1 #s(literal 4 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 a2 #s(literal 4 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 a2 #s(literal 2 binary64)))
(/.f64 (pow.f64 a1 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (pow.f64 a2 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 a1 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 a1 #s(literal 2 binary64)))
(*.f64 (pow.f64 a2 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
Outputs
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
Calls

4 calls:

6.0ms
th
5.0ms
a2
5.0ms
a1
4.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
64.0%1a1
64.0%1a2
64.0%1th
64.0%1(*.f64 a2 a2)
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

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

3 calls:

5.0ms
th
5.0ms
a1
5.0ms
a2
Results
AccuracySegmentsBranch
64.0%1th
64.0%1a1
64.0%1a2
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

2.0ms
a1
1.0ms
a2
1.0ms
th
Results
AccuracySegmentsBranch
13.6%1th
13.6%1a1
13.6%1a2
Compiler

Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
14×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038307
152307
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (*.f64 (cos.f64 th) (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (cos.f64 th) a2) a2) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 a2 (*.f64 (cos.f64 th) a2)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) a2) a2)
(*.f64 a2 (*.f64 a2 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 #s(literal 2 binary64))))

soundness1.4s (15.9%)

Rules
1241×fma-define
920×log1p-expm1-u
920×expm1-log1p-u
864×log1p-expm1-u
864×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0424111669157630
1903111669156925
23264111669156863
01889
119479
2237979
029169
1392166
24666166
032213
1432213
24407213
032324
1451310
24565310
048606
1145562
2421562
31139562
42837562
55639562
66583562
77394562
87471562
97487562
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 754 to 457 computations (39.4% saved)

preprocess273.0ms (3.1%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 1046 to 792 computations (24.3% saved)

end0.0ms (0%)

Profiling

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