Diagrams.ThreeD.Transform:aboutX from diagrams-lib-1.3.0.3, A

Time bar (total: 9.3s)

analyze3.0ms (0%)

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

Compiled 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 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)
backward-pass: 0.0ms (0% of total)
ival-sin: 0.0ms (0% of total)

sample2.0s (21%)

Results
1.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-sin: 445.0ms (42.7% of total)
ival-cos: 402.0ms (38.6% of total)
ival-mult: 140.0ms (13.4% of total)
ival-sub: 44.0ms (4.2% of total)
const: 8.0ms (0.8% of total)
backward-pass: 2.0ms (0.2% of total)
Bogosity

preprocess124.0ms (1.3%)

Algorithm
egg-herbie
Rules
489×fma-define
350×fma-neg
92×associate-*r*
83×distribute-lft-neg-in
83×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043453
1111417
2211417
3468417
4925417
51420417
61774417
72107417
82142417
92157417
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 (neg.f64 y))) (*.f64 z (sin.f64 (neg.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y))))
(neg.f64 (-.f64 (*.f64 x (cos.f64 (neg.f64 y))) (*.f64 z (sin.f64 (neg.f64 y)))))
(neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))))
(-.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) (neg.f64 x)) (*.f64 z (sin.f64 y)))
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(-.f64 (*.f64 x (cos.f64 (neg.f64 y))) (*.f64 z (sin.f64 (neg.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(neg.f64 (-.f64 (*.f64 x (cos.f64 (neg.f64 y))) (*.f64 z (sin.f64 (neg.f64 y)))))
(-.f64 (*.f64 (cos.f64 y) (neg.f64 x)) (*.f64 z (sin.f64 y)))
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(neg.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (neg.f64 z) (sin.f64 y))))
(-.f64 (*.f64 (cos.f64 y) (neg.f64 x)) (*.f64 z (sin.f64 y)))
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(neg.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(-.f64 (*.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(fma.f64 y (cos.f64 x) (neg.f64 (*.f64 z (sin.f64 x))))
(fma.f64 y (cos.f64 x) (*.f64 (neg.f64 z) (sin.f64 x)))
(-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 x) (*.f64 (cos.f64 y) z))
(-.f64 (*.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))

explain150.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 z (sin.f64 y))
00-0-(cos.f64 y)
00-0-z
00-0-(*.f64 x (cos.f64 y))
00-0-y
00-0-(sin.f64 y)
00-0-(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
121.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 66.0ms (69.1% of total)
ival-cos: 14.0ms (14.7% of total)
ival-sin: 12.0ms (12.6% of total)
ival-sub: 3.0ms (3.1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify26.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Rules
171×fma-define
87×fma-neg
27×distribute-lft-neg-in
27×cancel-sign-sub-inv
22×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015101
124101
239101
356101
483101
5127101
6208101
7310101
8409101
9526101
10580101
11586101
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize44.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(*.f64 z (sin.f64 y))
Results
35.0ms256×0valid
Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-cos: 9.0ms (40.9% of total)
ival-sin: 7.0ms (31.8% of total)
ival-mult: 4.0ms (18.2% of total)
ival-sub: 1.0ms (4.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
5 → 41
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (cos.f64 y)>
#<alt (*.f64 z (sin.f64 y))>
#<alt (sin.f64 y)>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) x))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))>
#<alt (*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))))>
#<alt (*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/120 binary64) z)))))))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
Calls

27 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* x (cos y))
1.0ms
z
@0
(- (* x (cos y)) (* z (sin y)))
1.0ms
x
@0
(- (* x (cos y)) (* z (sin y)))
1.0ms
y
@inf
(- (* x (cos y)) (* z (sin y)))
1.0ms
y
@-inf
(- (* x (cos y)) (* z (sin y)))

rewrite346.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
882×log1p-expm1-u
882×expm1-log1p-u
474×log-prod
390×fma-define
187×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01589
118789
2241289
Stop Event
node limit
Counts
5 → 270
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(cos.f64 y)
(*.f64 z (sin.f64 y))
(sin.f64 y)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (sin.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (cbrt.f64 (exp.f64 (sin.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sin.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)))

simplify182.0ms (1.9%)

Algorithm
egg-herbie
Rules
559×fma-neg
409×cancel-sign-sub-inv
400×times-frac
308×distribute-lft-neg-in
279×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060812623
1134012230
2409712006
Stop Event
node limit
Counts
311 → 359
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
x
(+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) x))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 y z)
(*.f64 y (+.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))))
(*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/120 binary64) z)))))))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (fma.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (neg.f64 (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) (-.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (exp.f64 (*.f64 z (neg.f64 (sin.f64 y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (exp.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y))) (pow.f64 (exp.f64 x) (cos.f64 y))))
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(fma.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y))))) (cbrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))) (cbrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (sqrt.f64 (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))))
(+.f64 #s(literal 0 binary64) (*.f64 x (cos.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y))) (cbrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (cos.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (cos.f64 y))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (cbrt.f64 (exp.f64 (cos.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) #s(literal 1 binary64))
(*.f64 (cos.f64 y) #s(literal 1 binary64))
(*.f64 (cos.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (sin.f64 y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (cbrt.f64 (exp.f64 (sin.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))
(cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sin.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(*.f64 x (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(*.f64 x (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(*.f64 x (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(*.f64 x (cos.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))))
(*.f64 x (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(*.f64 x (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(*.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 3 binary64)))
(*.f64 x (cos.f64 y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (cos.f64 y)))) #s(literal 1/3 binary64)))
(*.f64 x (cos.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)))
(*.f64 x (cos.f64 y))
(+.f64 #s(literal 0 binary64) (cos.f64 y))
(cos.f64 y)
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (cos.f64 #s(literal 1 binary64)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(fma.f64 (cos.f64 (+.f64 y #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 y #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (cbrt.f64 (exp.f64 (cos.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(*.f64 (cos.f64 y) #s(literal 1 binary64))
(cos.f64 y)
(*.f64 (cos.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(cos.f64 y)
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 3 binary64))
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(cos.f64 y)
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 y))))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 y))) #s(literal 3 binary64)))
(cos.f64 y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 y))) #s(literal 1/3 binary64)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 y))) #s(literal 2 binary64)))
(cos.f64 y)
(+.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))) (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 3 binary64))
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 3 binary64)))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 z (sin.f64 y)))) #s(literal 1/3 binary64)))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))
(*.f64 z (sin.f64 y))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(sin.f64 y)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (cbrt.f64 (exp.f64 (sin.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 y)))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 y))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (exp.f64 (log1p.f64 y)))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 y))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 (cos.f64 (+.f64 y #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(sin.f64 y)
(*.f64 (sin.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sin.f64 y)
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(sin.f64 y)
(*.f64 (cbrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)))
(sin.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(sin.f64 y)
(pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 3 binary64))
(sin.f64 y)
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 y)
(pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64))
(sin.f64 y)
(sqrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(sin.f64 y)
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))
(sin.f64 y)
(cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))
(sin.f64 y)
(expm1.f64 (log1p.f64 (sin.f64 y)))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (log.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 y))) #s(literal 3 binary64)))
(sin.f64 y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sin.f64 y))) #s(literal 1/3 binary64)))
(sin.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 y))) #s(literal 2 binary64)))
(sin.f64 y)

eval102.0ms (1.1%)

Compiler

Compiled 6926 to 1002 computations (85.5% saved)

prune104.0ms (1.1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New33821359
Fresh000
Picked011
Done000
Total33822360
Accuracy
100.0%
Counts
360 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
99.3%
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
74.8%
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
55.0%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
97.8%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
99.6%
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
99.7%
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
85.5%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
91.4%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
59.6%
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 z (sin.f64 y)))
51.1%
(-.f64 x (*.f64 z y))
99.7%
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
51.0%
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
50.8%
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
42.9%
(*.f64 (neg.f64 z) (sin.f64 y))
88.7%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
89.3%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
58.7%
(*.f64 x (cos.f64 y))
36.7%
x
Compiler

Compiled 602 to 404 computations (32.9% saved)

simplify188.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (sin.f64 y))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff6528
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
cost-diff0
(log1p.f64 (cos.f64 y))
cost-diff6464
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
cost-diff12800
(expm1.f64 (log1p.f64 (cos.f64 y)))
cost-diff12800
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
cost-diff0
(sin.f64 y)
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (sin.f64 y))
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff6464
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
cost-diff12800
(log1p.f64 (expm1.f64 (sin.f64 y)))
cost-diff12800
(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
Rules
802×fma-neg
682×fma-define
612×sub-neg
425×distribute-neg-in
413×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028475
157475
285475
3148475
4293475
5685475
61830475
74038475
85484475
96064475
106522475
116946475
127356475
137962475
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
z
(log1p.f64 (expm1.f64 (sin.f64 y)))
(expm1.f64 (sin.f64 y))
(sin.f64 y)
x
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
z
(sin.f64 y)
y
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
x
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(literal 2 binary64)
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
(*.f64 z (sin.f64 y))
z
(log1p.f64 (expm1.f64 (sin.f64 y)))
(sin.f64 y)
(expm1.f64 (sin.f64 y))
(sin.f64 y)
x
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(neg.f64 z)
z
(sin.f64 y)
y
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
(*.f64 x (cos.f64 y))
x
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(log1p.f64 (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))))
(sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(literal 2 binary64)

localize226.0ms (2.4%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
accuracy99.9%
(*.f64 x (cos.f64 y))
accuracy99.9%
(*.f64 z (sin.f64 y))
accuracy99.5%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
accuracy99.9%
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
accuracy99.9%
(expm1.f64 (log1p.f64 (cos.f64 y)))
accuracy99.9%
(*.f64 z (sin.f64 y))
accuracy99.7%
(log1p.f64 (cos.f64 y))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(neg.f64 z)
accuracy99.9%
(*.f64 (neg.f64 z) (sin.f64 y))
accuracy99.9%
(*.f64 x (cos.f64 y))
accuracy99.9%
(expm1.f64 (sin.f64 y))
accuracy99.9%
(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
accuracy99.9%
(log1p.f64 (expm1.f64 (sin.f64 y)))
Results
117.0ms114×0invalid
45.0ms142×0valid
Compiler

Compiled 133 to 22 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-sub: 87.0ms (67.1% of total)
ival-mult: 9.0ms (6.9% of total)
ival-sin: 7.0ms (5.4% of total)
ival-cos: 6.0ms (4.6% of total)
ival-log1p: 6.0ms (4.6% of total)
ival-expm1: 5.0ms (3.9% of total)
ival-sqrt: 4.0ms (3.1% of total)
ival-pow: 3.0ms (2.3% of total)
ival-neg: 1.0ms (0.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series105.0ms (1.1%)

Counts
12 → 268
Calls
Call 1
Inputs
#<alt (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))>
#<alt (log1p.f64 (expm1.f64 (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))>
#<alt (*.f64 (neg.f64 z) (sin.f64 y))>
#<alt (neg.f64 z)>
#<alt (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))>
#<alt (expm1.f64 (log1p.f64 (cos.f64 y)))>
#<alt (-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))>
#<alt (log1p.f64 (cos.f64 y))>
#<alt (pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))>
#<alt (expm1.f64 (sin.f64 y))>
#<alt (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
Outputs
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 y z)>
#<alt (*.f64 y (+.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))>
#<alt (*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))))>
#<alt (*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/120 binary64) z)))))))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt (*.f64 z (sin.f64 y))>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (sin.f64 y)>
#<alt (sin.f64 y)>
#<alt (sin.f64 y)>
#<alt (sin.f64 y)>
#<alt (sin.f64 y)>
#<alt (sin.f64 y)>
#<alt (sin.f64 y)>
#<alt (sin.f64 y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 y z))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/6 binary64) z)))))>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) z) (*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) x))))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (cos.f64 y))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (log.f64 #s(literal 2 binary64))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/96 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/4 binary64))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1440 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/96 binary64))) #s(literal 1/4 binary64))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (cos.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt y>
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#<alt (-.f64 (exp.f64 (sin.f64 y)) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 (sin.f64 y)) #s(literal 1 binary64))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (cos.f64 y)))) (*.f64 z (sin.f64 y)))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 y) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
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#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y z))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))))))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) z)) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x)))) x)) (*.f64 #s(literal -1/6 binary64) z))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) x))))))))))>
#<alt (sqrt.f64 (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) (sin.f64 y))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))))>
#<alt (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))) (sin.f64 y))) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 5 binary64))))) (*.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))))))>
#<alt (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x (cos.f64 y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sin.f64 y)))))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x (cos.f64 y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sin.f64 y)))))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (sin.f64 y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x (cos.f64 y)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sin.f64 y)))))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 (cos.f64 y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sin.f64 y)))))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 (cos.f64 y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sin.f64 y)))))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (sin.f64 y) #s(literal 5 binary64))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 (cos.f64 y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) (sin.f64 y)))))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) z)) (sqrt.f64 #s(literal -1 binary64))))))))>
Calls

69 calls:

TimeVariablePointExpression
43.0ms
y
@inf
(log (+ 1 (cos y)))
24.0ms
y
@-inf
(log (+ 1 (cos y)))
4.0ms
y
@inf
(sqrt (- (* x (cos y)) (* z (sin y))))
2.0ms
y
@inf
(* x (- (exp (log (+ 1 (cos y)))) 1))
2.0ms
x
@-inf
(sqrt (- (* x (cos y)) (* z (sin y))))

rewrite259.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
1068×log1p-expm1-u
1065×expm1-log1p-u
361×fma-define
196×fma-neg
126×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028259
1401239
23716239
Stop Event
node limit
Counts
12 → 662
Calls
Call 1
Inputs
(*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y))))
(log1p.f64 (expm1.f64 (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
(*.f64 (neg.f64 z) (sin.f64 y))
(neg.f64 z)
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(log1p.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(expm1.f64 (sin.f64 y))
(sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 z (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
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(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (exp.f64 (sin.f64 y)) #s(literal -1 binary64))
(-.f64 (exp.f64 (sin.f64 y)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (sin.f64 y)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y)) #s(literal -1 binary64)) (+.f64 (exp.f64 (sin.f64 y)) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 y)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (cbrt.f64 (exp.f64 (sin.f64 y)))) (cbrt.f64 (exp.f64 (sin.f64 y))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(hypot.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 1 binary64)))

simplify877.0ms (9.4%)

Algorithm
egg-herbie
Rules
544×fma-define
449×*-commutative
352×distribute-lft-in
344×distribute-rgt-in
342×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092450099
1220145235
2637343395
Stop Event
node limit
Counts
930 → 592
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 y (+.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))))
(*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/120 binary64) z)))))))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 y z))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/6 binary64) z)))))
(*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) z) (*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
x
(+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/24 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) x))))))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 x (cos.f64 y))
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(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)) (+.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 z (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z (*.f64 x (cos.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(+.f64 (exp.f64 (sin.f64 y)) #s(literal -1 binary64))
(-.f64 (exp.f64 (sin.f64 y)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) (sqrt.f64 (expm1.f64 (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (sin.f64 y)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 (exp.f64 (sin.f64 y)) (exp.f64 (sin.f64 y)) #s(literal -1 binary64)) (+.f64 (exp.f64 (sin.f64 y)) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (sin.f64 y)))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 y)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 y))))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 y)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 y))) (cbrt.f64 (exp.f64 (sin.f64 y)))) (cbrt.f64 (exp.f64 (sin.f64 y))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (exp.f64 (sin.f64 y))) (sqrt.f64 (exp.f64 (sin.f64 y))) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(hypot.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 1 binary64)))
Outputs
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 y z)
(*.f64 z y)
(*.f64 y (+.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))
(*.f64 y (+.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z (pow.f64 y #s(literal 2 binary64))))))
(*.f64 y (*.f64 z (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))))))
(*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) z (*.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/120 binary64)) z)))))
(*.f64 y (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) z))
(*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)) (*.f64 #s(literal 1/120 binary64) z)))))))
(*.f64 y (+.f64 z (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) z (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 z (pow.f64 y #s(literal 2 binary64))) (*.f64 z #s(literal 1/120 binary64))))))))
(*.f64 y (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 z #s(literal -1/6 binary64))) z))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
(*.f64 z (sin.f64 y))
y
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 y (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(*.f64 y (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(sin.f64 y)
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(*.f64 x (cos.f64 y))
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(/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 3 binary64))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fabs.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))))
(hypot.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y))))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))

eval161.0ms (1.7%)

Compiler

Compiled 20764 to 3089 computations (85.1% saved)

prune491.0ms (5.3%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New997101007
Fresh7916
Picked235
Done011
Total1006231029
Accuracy
100.0%
Counts
1029 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.4%
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y)))
42.0%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
97.8%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
56.6%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (cbrt.f64 x))) (*.f64 z (neg.f64 (sin.f64 y))))
57.2%
(-.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 z (neg.f64 (sin.f64 y))))
99.6%
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
99.7%
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
59.6%
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 z (sin.f64 y)))
51.1%
(-.f64 x (*.f64 z y))
99.7%
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
51.0%
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
50.8%
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
42.9%
(*.f64 (neg.f64 z) (sin.f64 y))
42.9%
(*.f64 (neg.f64 z) (log1p.f64 (expm1.f64 (sin.f64 y))))
28.7%
(*.f64 (neg.f64 z) (log.f64 (exp.f64 (sin.f64 y))))
42.9%
(*.f64 (neg.f64 z) (expm1.f64 (log1p.f64 (sin.f64 y))))
34.7%
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))))
18.4%
(*.f64 (neg.f64 z) y)
88.7%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
89.3%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
58.7%
(*.f64 x (cos.f64 y))
36.7%
x
Compiler

Compiled 558 to 381 computations (31.7% saved)

simplify89.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(exp.f64 (cos.f64 y))
cost-diff12800
(log.f64 (exp.f64 (cos.f64 y)))
cost-diff12800
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
cost-diff12800
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
cost-diff0
(exp.f64 (sin.f64 y))
cost-diff0
(neg.f64 z)
cost-diff12800
(log.f64 (exp.f64 (sin.f64 y)))
cost-diff12800
(*.f64 (neg.f64 z) (log.f64 (exp.f64 (sin.f64 y))))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff19520
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))
cost-diff25920
(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
cost-diff25984
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
Rules
746×sub-neg
678×fma-define
478×fma-neg
368×associate-+r-
357×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028585
153560
288485
3212387
4540387
51249387
64685387
77609387
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
z
(neg.f64 (sin.f64 y))
(sin.f64 y)
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 (neg.f64 z) (log.f64 (exp.f64 (sin.f64 y))))
(neg.f64 z)
z
(log.f64 (exp.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(sin.f64 y)
y
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
x
(log.f64 (exp.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))))
(*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))))
(*.f64 z (neg.f64 (sin.f64 y)))
z
(neg.f64 (sin.f64 y))
(sin.f64 y)
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(*.f64 z (*.f64 #s(literal 0 binary64) (sin.f64 y)))
#s(literal 0 binary64)
(*.f64 z (sin.f64 y))
(*.f64 (neg.f64 z) y)
(*.f64 y (neg.f64 z))
(neg.f64 z)
z
y
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 (neg.f64 z) (log.f64 (exp.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))))
(*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y))))
(*.f64 z (neg.f64 (sin.f64 y)))
(neg.f64 z)
z
(log.f64 (exp.f64 (sin.f64 y)))
(sin.f64 y)
(exp.f64 (sin.f64 y))
(sin.f64 y)
y
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
(*.f64 x (cos.f64 y))
x
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize369.0ms (4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(exp.f64 (cos.f64 y))
accuracy99.8%
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.6%
(log.f64 (exp.f64 (cos.f64 y)))
accuracy100.0%
(neg.f64 z)
accuracy99.9%
(exp.f64 (sin.f64 y))
accuracy99.8%
(*.f64 (neg.f64 z) (log.f64 (exp.f64 (sin.f64 y))))
accuracy55.7%
(log.f64 (exp.f64 (sin.f64 y)))
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy100.0%
(*.f64 (neg.f64 z) y)
accuracy100.0%
(neg.f64 z)
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy15.8%
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))
Results
200.0ms147×2valid
88.0ms85×1valid
39.0ms21×3valid
1.0ms0valid
Compiler

Compiled 135 to 21 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 219.0ms
backward-pass: 64.0ms (29.2% of total)
ival-sin: 46.0ms (21% of total)
ival-log: 29.0ms (13.2% of total)
ival-mult: 22.0ms (10% of total)
ival-exp: 18.0ms (8.2% of total)
ival-fma: 16.0ms (7.3% of total)
ival-cos: 13.0ms (5.9% of total)
ival-neg: 5.0ms (2.3% of total)
ival-sub: 3.0ms (1.4% of total)
ival-add: 3.0ms (1.4% of total)
const: 0.0ms (0% of total)

series25.0ms (0.3%)

Counts
11 → 224
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))>
#<alt (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 (neg.f64 z) y)>
#<alt (*.f64 (neg.f64 z) (log.f64 (exp.f64 (sin.f64 y))))>
#<alt (log.f64 (exp.f64 (sin.f64 y)))>
#<alt (exp.f64 (sin.f64 y))>
#<alt (-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (log.f64 (exp.f64 (cos.f64 y))))>
#<alt (log.f64 (exp.f64 (cos.f64 y)))>
#<alt (exp.f64 (cos.f64 y))>
Outputs
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x)))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 z (*.f64 #s(literal -2 binary64) z))))>
#<alt (+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))))>
#<alt (+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y)))))>
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#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (cos.f64 y)>
#<alt (exp.f64 #s(literal 1 binary64))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 1 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -31/720 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64)))) (*.f64 #s(literal 1/6 binary64) (exp.f64 #s(literal 1 binary64))))))))>
Calls

60 calls:

TimeVariablePointExpression
2.0ms
z
@0
(- (* x (log (exp (cos y)))) (* z (sin y)))
1.0ms
y
@inf
(exp (cos y))
1.0ms
x
@0
(+ (* x (cos y)) (+ (* z (neg (sin y))) (+ (* z (neg (sin y))) (* z (sin y)))))
1.0ms
y
@inf
(+ (* x (cos y)) (+ (* z (neg (sin y))) (+ (* z (neg (sin y))) (* z (sin y)))))
1.0ms
y
@0
(* (neg z) y)

rewrite276.0ms (3%)

Algorithm
batch-egg-rewrite
Rules
903×log1p-expm1-u
903×expm1-log1p-u
167×associate-*r*
166×add-exp-log
166×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028353
1410235
25182235
Stop Event
node limit
Counts
11 → 308
Calls
Call 1
Inputs
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) y)
(*.f64 (neg.f64 z) (log.f64 (exp.f64 (sin.f64 y))))
(log.f64 (exp.f64 (sin.f64 y)))
(exp.f64 (sin.f64 y))
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
(log.f64 (exp.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (/.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 2 binary64)) (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (-.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (*.f64 x (cos.f64 y)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (-.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (*.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (-.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (*.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (*.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 2 binary64))) (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (-.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (*.f64 x (cos.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) #s(literal 2 binary64))) (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (*.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))) #s(literal 1 binary64))
(*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(*.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (-.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (*.f64 x (cos.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) #s(literal 2 binary64))) (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (*.f64 x (cos.f64 y))))
(pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (*.f64 x (cos.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (*.f64 x (cos.f64 y)))
(fma.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (cos.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) #s(literal 1 binary64))
(*.f64 (cos.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (cos.f64 y)))
(*.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (cos.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))

simplify345.0ms (3.7%)

Algorithm
egg-herbie
Rules
749×fma-define
448×associate-*r*
365×associate-*l*
311×distribute-lft-in
287×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071323382
1181023382
Stop Event
node limit
Counts
532 → 331
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x)))))
x
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(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y)))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y)))))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 z (+.f64 (sin.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z))))
(*.f64 z (+.f64 (sin.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z))))
(*.f64 z (+.f64 (sin.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal 2 binary64) (sin.f64 y))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal 2 binary64) (sin.f64 y))))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal 2 binary64) (sin.f64 y))))))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))))
(*.f64 y (+.f64 z (*.f64 #s(literal -2 binary64) z)))
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))))
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(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (cos.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) #s(literal 1 binary64))
(*.f64 (cos.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (cos.f64 y)))
(*.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (cos.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))
Outputs
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 x (+.f64 (cos.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 x (+.f64 (cos.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 x (+.f64 (cos.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 x (cos.f64 y))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x)))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x)))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x)))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) x)))
x
(+.f64 x (*.f64 y (+.f64 z (*.f64 #s(literal -2 binary64) z))))
(+.f64 x (*.f64 y (neg.f64 z)))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 x y))))))
(+.f64 x (*.f64 y (+.f64 (neg.f64 z) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))))))
(+.f64 x (*.f64 y (+.f64 (neg.f64 z) (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 y (*.f64 z #s(literal 1/6 binary64))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 x (cos.f64 y))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y)))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y)))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y)))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 z (+.f64 (sin.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 z (+.f64 (sin.f64 y) (+.f64 (*.f64 #s(literal -2 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal 2 binary64) (sin.f64 y))))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal 2 binary64) (sin.f64 y))))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal 2 binary64) (sin.f64 y))))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -2 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (*.f64 #s(literal 2 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 y (+.f64 z (*.f64 #s(literal -2 binary64) z)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))))
(*.f64 y (+.f64 (neg.f64 z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal 1/6 binary64)))))
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (+.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/60 binary64) z) (*.f64 #s(literal 1/120 binary64) z)))))))))
(*.f64 y (+.f64 (neg.f64 z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/120 binary64)))))))
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (+.f64 (*.f64 #s(literal 1/3 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/60 binary64) z) (+.f64 (*.f64 #s(literal 1/120 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) z) (*.f64 #s(literal 1/2520 binary64) z))))))))))))
(*.f64 y (+.f64 (neg.f64 z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 z #s(literal -1/120 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal 1/5040 binary64)))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (sin.f64 y))
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(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (*.f64 x (cos.f64 y)))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (sqrt.f64 (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) (*.f64 x (cos.f64 y)))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (cos.f64 y)))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))))
(+.f64 #s(literal 0 binary64) (cos.f64 y))
(cos.f64 y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 y)))))
(cos.f64 y)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 y))) #s(literal 1 binary64))
(cos.f64 y)
(*.f64 (cos.f64 y) #s(literal 1 binary64))
(cos.f64 y)
(*.f64 #s(literal 1 binary64) (cos.f64 y))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) #s(literal 1 binary64))
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 3 binary64))
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64))
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (*.f64 (log.f64 (cos.f64 y)) #s(literal 1 binary64)))
(cos.f64 y)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(*.f64 #s(literal 1 binary64) (exp.f64 (cos.f64 y)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(*.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (cos.f64 y))))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) (sqrt.f64 (exp.f64 (cos.f64 y))))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 y))) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 y))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (cos.f64 y))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (cos.f64 y))))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (cos.f64 y)))))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 y))))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 y))))

eval227.0ms (2.4%)

Compiler

Compiled 10728 to 1745 computations (83.7% saved)

prune107.0ms (1.1%)

Pruning

25 alts after pruning (19 fresh and 6 done)

PrunedKeptTotal
New6317638
Fresh21214
Picked235
Done134
Total63625661
Accuracy
100.0%
Counts
661 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.4%
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y)))
97.8%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
57.6%
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
56.6%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (cbrt.f64 x))) (*.f64 z (neg.f64 (sin.f64 y))))
57.2%
(-.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 z (neg.f64 (sin.f64 y))))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
51.1%
(-.f64 x (*.f64 z y))
76.3%
(+.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
51.0%
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
50.8%
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
51.0%
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))))))
42.9%
(*.f64 (neg.f64 z) (sin.f64 y))
42.9%
(*.f64 (neg.f64 z) (log1p.f64 (expm1.f64 (sin.f64 y))))
28.7%
(*.f64 (neg.f64 z) (log.f64 (exp.f64 (sin.f64 y))))
42.9%
(*.f64 (neg.f64 z) (expm1.f64 (log1p.f64 (sin.f64 y))))
34.7%
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))))
18.4%
(*.f64 (neg.f64 z) y)
88.7%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
3.3%
(*.f64 z y)
89.3%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
58.5%
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
58.6%
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
58.7%
(*.f64 x (cos.f64 y))
23.4%
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
36.7%
x
Compiler

Compiled 576 to 395 computations (31.4% saved)

simplify104.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(cbrt.f64 (*.f64 x (cos.f64 y)))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
cost-diff0
(cos.f64 y)
cost-diff0
(exp.f64 (cos.f64 y))
cost-diff12800
(log.f64 (exp.f64 (cos.f64 y)))
cost-diff12800
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
cost-diff0
(*.f64 #s(literal -1/2 binary64) x)
cost-diff0
(*.f64 #s(literal -2 binary64) z)
cost-diff256
(+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))
cost-diff256
(*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
cost-diff0
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
cost-diff12864
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
Rules
664×unsub-neg
598×sub-neg
457×associate-+r+
420×fma-define
370×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040738
193713
2237701
3581701
41607701
53421701
65445701
77361701
Stop Event
node limit
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(literal 3 binary64)
(*.f64 z y)
z
y
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))))))
x
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))))))
y
(+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))))
z
(+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))))
(*.f64 #s(literal -2 binary64) z)
#s(literal -2 binary64)
(*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))
(+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))
(*.f64 #s(literal -1/6 binary64) z)
#s(literal -1/6 binary64)
(*.f64 #s(literal 1/3 binary64) z)
#s(literal 1/3 binary64)
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
x
(log.f64 (exp.f64 (cos.f64 y)))
(exp.f64 (cos.f64 y))
(cos.f64 y)
y
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
#s(literal 3 binary64)
Outputs
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
#s(literal 3 binary64)
(*.f64 z y)
(*.f64 y z)
z
y
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))))))
(+.f64 x (*.f64 y (+.f64 z (fma.f64 #s(literal -2 binary64) z (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 y (*.f64 z #s(literal 1/6 binary64)))))))))
(fma.f64 y (+.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) (neg.f64 z)) x)
(fma.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))) z) x)
(fma.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) z) x)
x
(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))))))
(*.f64 y (+.f64 z (fma.f64 #s(literal -2 binary64) z (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 y (*.f64 z #s(literal 1/6 binary64))))))))
(*.f64 y (+.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))) z))
(*.f64 y (-.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) z))
y
(+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))))
(+.f64 z (fma.f64 #s(literal -2 binary64) z (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 y (*.f64 z #s(literal 1/6 binary64)))))))
(+.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) (neg.f64 z))
(-.f64 (*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))) z)
(-.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))) z)
z
(+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))))
(fma.f64 #s(literal -2 binary64) z (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 y (*.f64 z #s(literal 1/6 binary64))))))
(fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))) (*.f64 z #s(literal -2 binary64)))
(fma.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 z #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) z)
(*.f64 z #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 y (*.f64 z #s(literal 1/6 binary64)))))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64)))))
(*.f64 y (fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 y (*.f64 z #s(literal 1/6 binary64))))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 y (*.f64 z #s(literal 1/6 binary64))))
(fma.f64 y (*.f64 z #s(literal 1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))
(*.f64 y (*.f64 z #s(literal 1/6 binary64)))
(+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))
(*.f64 z #s(literal 1/6 binary64))
(*.f64 #s(literal -1/6 binary64) z)
(*.f64 z #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 #s(literal 1/3 binary64) z)
(*.f64 z #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
(*.f64 x (cos.f64 y))
x
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (cos.f64 y))
(cos.f64 y)
y
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(*.f64 x (cos.f64 y))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
#s(literal 3 binary64)

localize166.0ms (1.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.1%
(cbrt.f64 (*.f64 x (cos.f64 y)))
accuracy98.9%
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(exp.f64 (cos.f64 y))
accuracy99.8%
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
accuracy99.6%
(log.f64 (exp.f64 (cos.f64 y)))
accuracy99.9%
(*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))
accuracy99.7%
(*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))
accuracy99.5%
(*.f64 #s(literal 1/3 binary64) z)
accuracy99.5%
(*.f64 #s(literal -1/6 binary64) z)
accuracy100.0%
(*.f64 z y)
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.1%
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
accuracy98.9%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
Results
117.0ms256×0valid
Compiler

Compiled 245 to 34 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 21.0ms (30% of total)
ival-pow: 11.0ms (15.7% of total)
...c/correct-round.rkt:121:19: 8.0ms (11.4% of total)
ival-cos: 7.0ms (10% of total)
ival-add: 6.0ms (8.6% of total)
ival-sin: 6.0ms (8.6% of total)
ival-exp: 3.0ms (4.3% of total)
ival-cbrt: 3.0ms (4.3% of total)
ival-log: 3.0ms (4.3% of total)
ival-sub: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series64.0ms (0.7%)

Counts
12 → 177
Calls
Call 1
Inputs
#<alt (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))>
#<alt (*.f64 z y)>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))>
#<alt (*.f64 #s(literal -2 binary64) z)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 x (cos.f64 y)))>
#<alt (*.f64 #s(literal -1/6 binary64) z)>
#<alt (*.f64 #s(literal 1/3 binary64) z)>
#<alt (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))>
#<alt (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))>
#<alt (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (sin.f64 y) #s(literal 7 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cos.f64 y)))))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cos.f64 y)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -2/9 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/27 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (sin.f64 y) #s(literal 7 binary64)))) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (cbrt.f64 (*.f64 x (cos.f64 y)))>
#<alt (*.f64 x (+.f64 (cbrt.f64 (/.f64 (cos.f64 y) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z (sin.f64 y))))))>
#<alt (*.f64 x (+.f64 (cbrt.f64 (/.f64 (cos.f64 y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z (sin.f64 y)))) (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (cos.f64 y) #s(literal 5 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 (cbrt.f64 (/.f64 (cos.f64 y) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z (sin.f64 y)))) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 23 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 #s(literal 2/9 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (cos.f64 y) #s(literal 5 binary64))))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 (cos.f64 y) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 (cos.f64 y) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 #s(literal -1 binary64))))))>
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#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x y)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x y))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x y))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))) x)) (*.f64 #s(literal 1/2 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x y) z)))))>
Calls

66 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(cbrt (- (* x (cos y)) (* z (sin y))))
3.0ms
z
@inf
(cbrt (- (* x (cos y)) (* z (sin y))))
3.0ms
y
@-inf
(* y (+ (* -1/6 z) (* 1/3 z)))
3.0ms
x
@-inf
(cbrt (- (* x (cos y)) (* z (sin y))))
3.0ms
x
@inf
(cbrt (- (* x (cos y)) (* z (sin y))))

rewrite222.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
992×log1p-expm1-u
247×associate-*r*
208×expm1-log1p-u
201×add-cube-cbrt
199×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033241
1482241
26670241
Stop Event
node limit
Counts
12 → 328
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 z y)
(*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))
(+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z))
(*.f64 #s(literal -2 binary64) z)
(*.f64 #s(literal -1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 x (cos.f64 y)))
(*.f64 #s(literal -1/6 binary64) z)
(*.f64 #s(literal 1/3 binary64) z)
(*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 1 binary64) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (-.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/6 binary64))) (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (sin.f64 y)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z))) (*.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))) (*.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 (sin.f64 y) (neg.f64 z)))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))) (-.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) (neg.f64 z)))
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(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64))
(*.f64 x (cos.f64 y))
(*.f64 (cos.f64 y) x)
(*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(*.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (*.f64 (sqrt.f64 (cos.f64 y)) x))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 (cos.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 x)) (cbrt.f64 (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 x (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1/3 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cos.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)))
(+.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 z #s(literal 1/3 binary64)))
(+.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal -1/6 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 z #s(literal -1/2 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 z #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal -1/6 binary64))))) (+.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/216 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/27 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/216 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/27 binary64))) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal -1/6 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/216 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/27 binary64))) (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 z (*.f64 #s(literal -1/6 binary64) (*.f64 z #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64))) (*.f64 z #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/216 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (*.f64 z #s(literal -1/2 binary64)))) (neg.f64 (*.f64 z #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/9 binary64)) (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal -1/6 binary64))))
(pow.f64 (*.f64 z #s(literal -1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal -1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal -1/6 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal -1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal -1/6 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal -1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 z #s(literal -1/6 binary64) (*.f64 z #s(literal 1/3 binary64)))
(fma.f64 z #s(literal 1/3 binary64) (*.f64 z #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) z (*.f64 z #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) z (*.f64 z #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 z #s(literal -1/6 binary64)) (*.f64 z #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/3 binary64)) (*.f64 z #s(literal -1/6 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/36 binary64))) (cbrt.f64 (*.f64 z #s(literal -1/6 binary64))) (*.f64 z #s(literal 1/3 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/9 binary64))) (cbrt.f64 (*.f64 z #s(literal 1/3 binary64))) (*.f64 z #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal -1/6 binary64))) (sqrt.f64 (*.f64 z #s(literal -1/6 binary64))) (*.f64 z #s(literal 1/3 binary64)))
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 1/3 binary64))) (sqrt.f64 (*.f64 z #s(literal 1/3 binary64))) (*.f64 z #s(literal -1/6 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 1/3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 1/3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))))) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) (-.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) y) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) (-.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) #s(literal 2 binary64))) y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))
(pow.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))))

simplify412.0ms (4.4%)

Algorithm
egg-herbie
Rules
709×fma-define
678×fma-neg
323×*-commutative
243×distribute-rgt-in
240×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0105238654726117
1275538654725016
2721838654724924
Stop Event
node limit
Counts
505 → 529
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
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(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) (*.f64 y (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))))) (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) (-.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) y) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) (-.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal -1/6 binary64) y)) #s(literal 2 binary64))) y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))
(pow.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 x (+.f64 (cos.f64 y) (/.f64 (*.f64 (sin.f64 y) (neg.f64 z)) x)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.f64 x (cos.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.f64 (*.f64 z (sin.f64 y)) x))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))))
(*.f64 (-.f64 (*.f64 z (/.f64 (sin.f64 y) x)) (cos.f64 y)) (neg.f64 x))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (neg.f64 (*.f64 z y)))
(-.f64 x (*.f64 z y))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(fma.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z) x)
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 z y) #s(literal 1/6 binary64)))) z)))
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))) (neg.f64 z)) x)
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))))
(*.f64 z (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))))
(*.f64 z (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
(*.f64 z (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))))
(*.f64 z (neg.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x (cos.f64 y)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/9 binary64)) (*.f64 x (cos.f64 y))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (sin.f64 y) #s(literal 7 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal 1/9 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (cos.f64 y)))))) (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 #s(literal -1 binary64))))
(+.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (sin.f64 y) #s(literal 7 binary64)))) #s(literal 1/9 binary64)) (*.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64))))))) x) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) #s(literal 1/9 binary64)) (*.f64 (cos.f64 y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x)))
(+.f64 (+.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 #s(literal -1 binary64))) (*.f64 x (*.f64 #s(literal -1/9 binary64) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 7 binary64))) (pow.f64 (sin.f64 y) #s(literal 7 binary64))) #s(literal 1/9 binary64)) (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 7 binary64)))))))) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal 1/9 binary64)) (*.f64 (cos.f64 y) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))
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(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y)))) #s(literal 3 binary64)))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z #s(literal -1/6 binary64)) y)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))) #s(literal 3 binary64))))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z #s(literal -1/6 binary64)) y)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z #s(literal -1/6 binary64)) y)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z #s(literal -1/6 binary64)) y)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z #s(literal -1/6 binary64)) y)))
(exp.f64 (log.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z #s(literal -1/6 binary64)) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 #s(literal -1/6 binary64) y))))) #s(literal 1 binary64)))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal -1/6 binary64)))))
(*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z #s(literal -1/6 binary64)) y)))
(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/6 binary64))))
(fma.f64 z (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (*.f64 (*.f64 z #s(literal -1/6 binary64)) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z #s(literal -1/6 binary64))))
(fma.f64 z (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 y (*.f64 x #s(literal -1/2 binary64))))

eval161.0ms (1.7%)

Compiler

Compiled 24038 to 4730 computations (80.3% saved)

prune318.0ms (3.4%)

Pruning

26 alts after pruning (17 fresh and 9 done)

PrunedKeptTotal
New101571022
Fresh41014
Picked235
Done066
Total1021261047
Accuracy
100.0%
Counts
1047 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(pow.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
57.6%
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
51.1%
(-.f64 x (*.f64 z y))
76.3%
(+.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
51.0%
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
50.8%
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
51.0%
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))))))))
57.6%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y))))
57.6%
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (cos.f64 y)))
58.2%
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)))
45.1%
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
42.9%
(*.f64 (neg.f64 z) (sin.f64 y))
42.9%
(*.f64 (neg.f64 z) (log1p.f64 (expm1.f64 (sin.f64 y))))
28.7%
(*.f64 (neg.f64 z) (log.f64 (exp.f64 (sin.f64 y))))
42.9%
(*.f64 (neg.f64 z) (expm1.f64 (log1p.f64 (sin.f64 y))))
34.7%
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))))
18.4%
(*.f64 (neg.f64 z) y)
88.7%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
3.3%
(*.f64 z y)
89.3%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
58.5%
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
58.6%
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
58.7%
(*.f64 x (cos.f64 y))
23.4%
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
36.7%
x
Compiler

Compiled 806 to 355 computations (56% saved)

regimes56.0ms (0.6%)

Counts
46 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 (neg.f64 z) y)
(-.f64 x (*.f64 z y))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))))))))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))))))
(*.f64 x (cos.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y))))
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(*.f64 (neg.f64 z) (expm1.f64 (log1p.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (log.f64 (exp.f64 (sin.f64 y))))
(*.f64 (neg.f64 z) (log1p.f64 (expm1.f64 (sin.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64))
(*.f64 (neg.f64 z) (cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))))
(pow.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (expm1.f64 (log1p.f64 (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log.f64 (exp.f64 (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (log1p.f64 (expm1.f64 (sin.f64 y)))))
(-.f64 (*.f64 x (expm1.f64 (log1p.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (cbrt.f64 x))) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (cbrt.f64 (cos.f64 y))))
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

14.0ms
z
14.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
13.0ms
x
12.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1z
99.8%1(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes14.0ms (0.2%)

Counts
12 → 5
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 (neg.f64 z) y)
(-.f64 x (*.f64 z y))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))))))))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))))))
(*.f64 x (cos.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
Outputs
(*.f64 x (cos.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))))))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 x (cos.f64 y))
Calls

3 calls:

5.0ms
z
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
76.9%3x
80.1%5y
75.2%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 (neg.f64 z) y)
(-.f64 x (*.f64 z y))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))))))))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))))))
(*.f64 x (cos.f64 y))
Outputs
(*.f64 x (cos.f64 y))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))))))))
(*.f64 x (cos.f64 y))
Calls

3 calls:

4.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
69.2%3z
67.8%3x
74.2%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes21.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 (neg.f64 z) y)
(-.f64 x (*.f64 z y))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (*.f64 x #s(literal -1/2 binary64))) z)))
(+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))) z)))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64))))))))
(+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/3 binary64) z)))))))))
Outputs
(-.f64 x (*.f64 z y))
Calls

3 calls:

13.0ms
y
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
51.1%1x
51.1%1z
51.1%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 (neg.f64 z) y)
Outputs
x
(*.f64 (neg.f64 z) y)
x
Calls

3 calls:

2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
42.1%3x
36.7%1y
41.9%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -21.9b remaining (-54%)

Threshold costs -21.9b (-54%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
Outputs
x
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
36.7%1y
36.7%1z
36.7%1x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch190.0ms (2%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
23.0ms
8.683788062311318e+248
9.022722480308565e+252
22.0ms
1.3993536305674058e-6
616377689178.851
14.0ms
-131.7538911126068
-0.007109307462227341
125.0ms
-9.425378573124315e+194
-4.512294287973718e+193
Results
167.0ms528×0valid
Compiler

Compiled 885 to 640 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-sin: 119.0ms (80.6% of total)
ival-cos: 16.0ms (10.8% of total)
ival-mult: 8.0ms (5.4% of total)
ival-sub: 3.0ms (2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
22.0ms
1.3993536305674058e-6
616377689178.851
12.0ms
-0.006699455080783661
-0.00012663742309330253
Results
25.0ms272×0valid
Compiler

Compiled 579 to 404 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 7.0ms (42.3% of total)
ival-cos: 4.0ms (24.2% of total)
ival-mult: 4.0ms (24.2% of total)
ival-sub: 1.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch45.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
1.4802773073394145e-103
1.242618178962425e-96
21.0ms
-4.949798959200993e-23
-3.1517378586557494e-26
Results
34.0ms272×0valid
Compiler

Compiled 239 to 183 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 8.0ms (36.3% of total)
ival-cos: 6.0ms (27.2% of total)
ival-sin: 6.0ms (27.2% of total)
ival-sub: 1.0ms (4.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
15×*-commutative
11×+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059456
191456
2107456
3116456
4122456
5124456
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 y #s(literal -83999999999999999889945302017530831816661516676706828124998803214163014725319836966791789253971748825723388381231363358728831190681650530033473091864555947388788106757026818802916272695077240832 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal -1170935903116329/18014398509481984 binary64)) (*.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y #s(literal 1152921504606847/36028797018963968 binary64)) (+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64)))))))) (if (<=.f64 y #s(literal 16999999999999998658646162414649945178418727079378778033873080084421301448286871204726806040899102044987618937900841950817688135714720235983278138179687395760192255809024045361616004806905627573938940669826416372147129545442983152660775839380075970560 binary64)) (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -7148113328562451/1152921504606846976 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1170935903116329/18014398509481984 binary64)) (+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64)))))))) (*.f64 x (cos.f64 y))))
(-.f64 x (*.f64 z y))
(if (<=.f64 x #s(literal -66355061549583/340282366920938463463374607431768211456 binary64)) x (if (<=.f64 x #s(literal 7757269969915163/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (*.f64 (neg.f64 z) y) x))
x
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 y #s(literal -83999999999999999889945302017530831816661516676706828124998803214163014725319836966791789253971748825723388381231363358728831190681650530033473091864555947388788106757026818802916272695077240832 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal -1170935903116329/18014398509481984 binary64)) (*.f64 (neg.f64 z) (sin.f64 y)) (if (<=.f64 y #s(literal 1152921504606847/36028797018963968 binary64)) (+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64)))))))) (if (<=.f64 y #s(literal 16999999999999998658646162414649945178418727079378778033873080084421301448286871204726806040899102044987618937900841950817688135714720235983278138179687395760192255809024045361616004806905627573938940669826416372147129545442983152660775839380075970560 binary64)) (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -83999999999999999889945302017530831816661516676706828124998803214163014725319836966791789253971748825723388381231363358728831190681650530033473091864555947388788106757026818802916272695077240832 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal -1170935903116329/18014398509481984 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (if (<=.f64 y #s(literal 1152921504606847/36028797018963968 binary64)) (+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))))))) (if (<=.f64 y #s(literal 16999999999999998658646162414649945178418727079378778033873080084421301448286871204726806040899102044987618937900841950817688135714720235983278138179687395760192255809024045361616004806905627573938940669826416372147129545442983152660775839380075970560 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))))))
(if (<=.f64 y #s(literal -7148113328562451/1152921504606846976 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 1170935903116329/18014398509481984 binary64)) (+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (*.f64 z y) #s(literal 1/6 binary64)))))))) (*.f64 x (cos.f64 y))))
(if (or (<=.f64 y #s(literal -7148113328562451/1152921504606846976 binary64)) (not (<=.f64 y #s(literal 1170935903116329/18014398509481984 binary64)))) (*.f64 x (cos.f64 y)) (+.f64 x (*.f64 y (+.f64 z (+.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (*.f64 y z) #s(literal 1/6 binary64)))))))))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(if (<=.f64 x #s(literal -66355061549583/340282366920938463463374607431768211456 binary64)) x (if (<=.f64 x #s(literal 7757269969915163/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (*.f64 (neg.f64 z) y) x))
(if (<=.f64 x #s(literal -66355061549583/340282366920938463463374607431768211456 binary64)) x (if (<=.f64 x #s(literal 7757269969915163/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176 binary64)) (*.f64 y (neg.f64 z)) x))
x

soundness642.0ms (6.9%)

Rules
882×log1p-expm1-u
882×expm1-log1p-u
709×fma-define
678×fma-neg
559×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105238654726117
1275538654725016
2721838654724924
01589
118789
2241289
060812623
1134012230
2409712006
Stop Event
fuel
node limit
node limit
node limit
Compiler

Compiled 480 to 149 computations (69% saved)

preprocess44.0ms (0.5%)

Compiler

Compiled 266 to 116 computations (56.4% saved)

end0.0ms (0%)

Profiling

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