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

Time bar (total: 9.1s)

analyze0.0ms (0%)

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

Compiled 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)

sample1.7s (18.3%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 956.0ms
ival-sin: 325.0ms (34% of total)
ival-cos: 278.0ms (29.1% of total)
ival-mult: 205.0ms (21.5% of total)
ival-sub: 137.0ms (14.3% of total)
const: 7.0ms (0.7% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess146.0ms (1.6%)

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)))

explain93.0ms (1%)

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
64.0ms512×0valid
Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-cos: 14.0ms (35.6% of total)
ival-sin: 13.0ms (33% of total)
ival-mult: 9.0ms (22.9% of total)
ival-sub: 3.0ms (7.6% of total)
const: 0.0ms (0% 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%
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify31.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(sin.f64 y)
cost-diff0
(neg.f64 (sin.f64 y))
cost-diff6336
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
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
170×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
018197
132197
247197
366197
497197
5139197
6218197
7331197
8423197
9528197
10582197
11588197
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)
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
z
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(*.f64 x (cos.f64 y))
x
(cos.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)
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
z
(neg.f64 (sin.f64 y))
(sin.f64 y)
y
(*.f64 x (cos.f64 y))
x
(cos.f64 y)

localize215.0ms (2.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 (sin.f64 y))
accuracy100.0%
(cos.f64 y)
accuracy99.9%
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(*.f64 z (sin.f64 y))
Results
201.0ms256×0valid
Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-cos: 6.0ms (28.1% of total)
ival-sin: 5.0ms (23.4% of total)
ival-mult: 4.0ms (18.8% of total)
ival-fma: 3.0ms (14.1% of total)
ival-sub: 1.0ms (4.7% of total)
ival-neg: 1.0ms (4.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.2%)

Counts
7 → 89
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 (fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))>
#<alt (neg.f64 (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 (*.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 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))))))>
#<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 (*.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 (*.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 (*.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 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 (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (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)))))>
Calls

39 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(+ (* z (neg (sin y))) (* 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)))

rewrite535.0ms (5.9%)

Algorithm
batch-egg-rewrite
Rules
868×log1p-expm1-u
868×expm1-log1p-u
472×log-prod
410×fma-define
222×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018144
1230128
23086128
Stop Event
node limit
Counts
7 → 362
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))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(neg.f64 (sin.f64 y))
(sin.f64 y)
Outputs
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.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))))
(+.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)))
(+.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)))))
(+.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 #s(literal 0 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (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 (*.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 (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))) (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 (*.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 (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 (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 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (*.f64 (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 x (*.f64 (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 (fma.f64 z (sin.f64 y) (*.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 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.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))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))) (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) (expm1.f64 (*.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 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.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))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))) (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) (expm1.f64 (*.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)))))
(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)))))
(hypot.f64 (*.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) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 x (cos.f64 y) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (cos.f64 y) x (*.f64 z (sin.f64 y)))
(fma.f64 (cos.f64 y) x (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (cos.f64 y) x (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (*.f64 z (sin.f64 y)))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y)))
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))
(fma.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 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 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 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 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.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 1 binary64) (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.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 #s(literal 1 binary64) (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 #s(literal 1 binary64) (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 #s(literal 1 binary64) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.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 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 y)) z) (*.f64 x (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 y)) x) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 y)) x) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 y)) x) (neg.f64 (-.f64 (*.f64 z (sin.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(fma.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)) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(fma.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)) (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 (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 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(fma.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 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.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)))

simplify300.0ms (3.3%)

Algorithm
egg-herbie
Rules
671×fma-neg
419×cancel-sign-sub-inv
314×distribute-lft-neg-in
298×associate-*r*
288×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062619186
1138417987
2433316882
Stop Event
node limit
Counts
451 → 395
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)))))))
(*.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 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
(+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))))))
(+.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 (*.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 (*.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 (*.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 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))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 y (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/120 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 y (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (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)))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.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))))
(+.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)))
(+.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)))))
(+.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y)))
(+.f64 #s(literal 0 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) (log.f64 (sqrt.f64 (exp.f64 (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 (*.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 (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))) (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 (*.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 (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 (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 (*.f64 z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (*.f64 (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 x (*.f64 (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 (fma.f64 z (sin.f64 y) (*.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 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (*.f64 z (sin.f64 y)) (*.f64 x (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.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))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))) (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) (expm1.f64 (*.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 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
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(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y)))) (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) (expm1.f64 (*.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 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (exp.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 z) (sin.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y))))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (exp.f64 x) (cos.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (sin.f64 y)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.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))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) (sin.f64 y))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (cos.f64 y))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) (cos.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))) (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) (expm1.f64 (*.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)))))
(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)))))
(hypot.f64 (*.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)))
(+.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 #s(literal 0 binary64) (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) #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 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (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))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (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)))
(exp.f64 (log.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 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 #s(literal 0 binary64) (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) #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 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 y))))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (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))
(neg.f64 (sin.f64 y))
(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))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.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)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.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))))
(*.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))))
(*.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 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.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 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 y)) (/.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))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 (neg.f64 y) z))
(-.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)))
(fma.f64 y (fma.f64 (*.f64 x #s(literal -1/2 binary64)) y (neg.f64 z)) x)
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 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 (-.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64))))) z) x)
(fma.f64 y (fma.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 z (*.f64 y #s(literal 1/6 binary64)))) (neg.f64 z)) x)
(*.f64 x (cos.f64 y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.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)))
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.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)))
(fma.f64 x (cos.f64 y) (*.f64 (neg.f64 z) (sin.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) (neg.f64 z)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (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 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (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 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (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 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))
x
(+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) x)
(+.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)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 x #s(literal 1/24 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal -1/2 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64)))) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) x)
(+.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 (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal -1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 x #s(literal 1/24 binary64) (*.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64)))))) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 x #s(literal -1/2 binary64))) x)
#s(literal 1 binary64)
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(fma.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
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x
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(-.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) #s(literal -1 binary64))
(neg.f64 (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 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 y))))
(neg.f64 (sin.f64 y))
(*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 (sin.f64 y)))
(sin.f64 y)
(*.f64 (sqrt.f64 (sin.f64 y)) (neg.f64 (sqrt.f64 (sin.f64 y))))
(neg.f64 (sin.f64 y))
(*.f64 #s(literal -1 binary64) (sin.f64 y))
(neg.f64 (sin.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)))
(neg.f64 (sin.f64 y))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(neg.f64 (sin.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)))
(neg.f64 (sin.f64 y))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(neg.f64 (sin.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y)))))
(neg.f64 (sin.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (sin.f64 y))
(neg.f64 (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)
(neg.f64 (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)
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 y)))))
(neg.f64 (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)

eval63.0ms (0.7%)

Compiler

Compiled 8588 to 1172 computations (86.4% saved)

prune85.0ms (0.9%)

Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New45219471
Fresh000
Picked112
Done000
Total45320473
Accuracy
100.0%
Counts
473 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(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)))
48.7%
(fma.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 z (sin.f64 y)))
72.4%
(fma.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y))))) (*.f64 x (cos.f64 y)))
99.7%
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
99.6%
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
99.1%
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) #s(literal 3 binary64)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
99.6%
(-.f64 (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 z (sin.f64 y)))
75.8%
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
59.3%
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 z (sin.f64 y)))
51.8%
(-.f64 x (*.f64 z y))
50.7%
(+.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)))
50.7%
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
40.9%
(*.f64 (sin.f64 y) (neg.f64 z))
87.6%
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
87.5%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
89.0%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
92.3%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
60.5%
(*.f64 x (cos.f64 y))
37.8%
x
Compiler

Compiled 538 to 360 computations (33.1% saved)

simplify95.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
cost-diff12864
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
cost-diff12864
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 z (sin.f64 y)))
cost-diff0
(*.f64 (sin.f64 y) (/.f64 z x))
cost-diff0
(cos.f64 y)
cost-diff0
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
cost-diff128
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(expm1.f64 (cos.f64 y))
cost-diff12800
(log1p.f64 (expm1.f64 (cos.f64 y)))
cost-diff12800
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
cost-diff12800
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
Rules
1048×fma-neg
808×fma-define
332×associate-/l/
330×associate-/r*
324×distribute-lft-neg-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026445
158445
2126445
3293445
4601445
51205445
63025445
74613445
87510445
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
x
(log1p.f64 (expm1.f64 (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
x
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
x
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(cos.f64 y)
y
(*.f64 (sin.f64 y) (/.f64 z x))
(sin.f64 y)
(/.f64 z x)
z
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
#s(literal 3 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
Outputs
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (neg.f64 (*.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)))
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
(*.f64 x (cos.f64 y))
x
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cos.f64 y)
(expm1.f64 (cos.f64 y))
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
x
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(fma.f64 x (cos.f64 y) (neg.f64 (*.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)))
x
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x)))
(cos.f64 y)
y
(*.f64 (sin.f64 y) (/.f64 z x))
(*.f64 z (/.f64 (sin.f64 y) x))
(sin.f64 y)
(/.f64 z x)
z
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 z (sin.f64 y)))
(fma.f64 x (cos.f64 y) (neg.f64 (*.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)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
#s(literal 3 binary64)
(*.f64 z (sin.f64 y))
z
(sin.f64 y)

localize207.0ms (2.3%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy37.1%
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
accuracy96.4%
(*.f64 (sin.f64 y) (/.f64 z x))
accuracy92.4%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(log1p.f64 (expm1.f64 (cos.f64 y)))
accuracy99.8%
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy99.0%
(expm1.f64 (cos.f64 y))
Results
177.0ms256×0valid
Compiler

Compiled 125 to 20 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-cbrt: 98.0ms (69.6% of total)
ival-mult: 11.0ms (7.8% of total)
ival-sin: 6.0ms (4.3% of total)
ival-cos: 6.0ms (4.3% of total)
ival-pow: 6.0ms (4.3% of total)
ival-sub: 4.0ms (2.8% of total)
ival-log1p: 4.0ms (2.8% of total)
ival-div: 3.0ms (2.1% of total)
ival-expm1: 3.0ms (2.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series41.0ms (0.5%)

Counts
10 → 276
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))>
#<alt (log1p.f64 (expm1.f64 (cos.f64 y)))>
#<alt (expm1.f64 (cos.f64 y))>
#<alt (*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))>
#<alt (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))>
#<alt (*.f64 (sin.f64 y) (/.f64 z x))>
#<alt (-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 z (sin.f64 y)))>
#<alt (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))>
#<alt (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))>
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 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)>
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#<alt (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -61/240 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 7/8 binary64) (pow.f64 x #s(literal 3 binary64))))))) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))>
Calls

69 calls:

TimeVariablePointExpression
6.0ms
x
@0
(* x (- (cos y) (* (sin y) (/ z x))))
6.0ms
x
@0
(pow (* x (cos y)) 3)
1.0ms
x
@-inf
(- (cbrt (pow (* x (cos y)) 3)) (* z (sin y)))
1.0ms
y
@inf
(pow (* x (cos y)) 3)
1.0ms
x
@0
(- (* x (log (+ 1 (- (exp (cos y)) 1)))) (* z (sin y)))

rewrite206.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1060×log1p-expm1-u
937×expm1-log1p-u
152×add-cube-cbrt
149×add-exp-log
149×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026268
1392268
24669268
Stop Event
node limit
Counts
10 → 290
Calls
Call 1
Inputs
(-.f64 (*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))
(*.f64 (sin.f64 y) (/.f64 z x))
(-.f64 (cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
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)))) (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))) (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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #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)))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.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) (+.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 (+.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 (*.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)))))
(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))
(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)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 (cbrt.f64 (pow.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)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (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 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.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)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.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 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 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))
(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 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (cos.f64 y)))) #s(literal 1/3 binary64)))
(-.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 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 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)))
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(cos.f64 y)
(expm1.f64 (log1p.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 (cos.f64 y)) #s(literal -1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 (expm1.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (expm1.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) #s(literal 1 binary64)) (+.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64)))
(pow.f64 (expm1.f64 (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (expm1.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) #s(literal 3 binary64)))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (cos.f64 y))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 x (*.f64 (sin.f64 y) (neg.f64 (/.f64 z x)))))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 (*.f64 (sin.f64 y) (neg.f64 (/.f64 z x))) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64)))) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 y) (/.f64 z x)) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (/.f64 z x)) #s(literal 2 binary64))) x) (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))
(pow.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))))) #s(literal 2 binary64))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.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)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(-.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 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.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 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/3 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))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 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))
(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)))))
(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 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (cos.f64 y)))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x (*.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (cos.f64 y) (*.f64 x (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (*.f64 x (cos.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)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) x) (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (cos.f64 y)) x)
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 binary64)))

simplify426.0ms (4.7%)

Algorithm
egg-herbie
Rules
538×associate-*r*
470×associate-*l*
454×fma-define
374×exp-prod
370×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064323600
1157922441
2630822427
Stop Event
node limit
Counts
566 → 374
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))
(*.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 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))
(*.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))
#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))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.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))))) #s(literal 1 binary64))
(-.f64 (+.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))))))) #s(literal 1 binary64))
(-.f64 (+.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)))))))) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(-.f64 (exp.f64 (cos.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.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 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 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))))
(+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.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 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))
(*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))
(*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z x))))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 y z) x)) #s(literal 1/2 binary64))) (/.f64 z x))))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(-.f64 (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x))
(cos.f64 y)
(+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
(+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
(+.f64 (cos.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (sin.f64 y)) x)))
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(+.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)))) (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))) (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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #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)))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.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) (+.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 (+.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 (*.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)))))
(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))
(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)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(fma.f64 (cbrt.f64 (pow.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)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (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 (sin.f64 y) (neg.f64 z)))
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) (neg.f64 z)))
(fma.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)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(-.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 #s(literal 1 binary64) (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 y)) x))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.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 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) #s(literal 1/3 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))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 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))
(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)))))
(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 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (cos.f64 y)))) #s(literal 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x (*.f64 (cos.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (cos.f64 y) (*.f64 x (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (*.f64 x (cos.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)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) x) (cos.f64 y))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (cos.f64 y)) x)
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (cos.f64 y)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (cos.f64 y)))) #s(literal 1 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 z (/.f64 (sin.f64 y) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.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 z (/.f64 (sin.f64 y) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.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 z (/.f64 (sin.f64 y) x))))
(*.f64 x (fma.f64 (sin.f64 y) (/.f64 z (neg.f64 x)) (cos.f64 y)))
(*.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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (cos.f64 y) (*.f64 z (/.f64 (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))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (cos.f64 y) (*.f64 z (/.f64 (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))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (cos.f64 y) (*.f64 z (/.f64 (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 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(fma.f64 y (-.f64 (*.f64 x (*.f64 y #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)))
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(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 3 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) x) (cos.f64 y))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (cos.f64 y)) x)
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x (cos.f64 y)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 x (cos.f64 y)))) (sqrt.f64 (*.f64 x (cos.f64 y))))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (cos.f64 y)))))
(pow.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 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))

eval170.0ms (1.9%)

Compiler

Compiled 11279 to 1935 computations (82.8% saved)

prune170.0ms (1.9%)

Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New62715642
Fresh6814
Picked325
Done011
Total63626662
Accuracy
100.0%
Counts
662 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
97.9%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
79.1%
(-.f64 (*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
75.8%
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
51.8%
(-.f64 x (*.f64 z y))
99.7%
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
50.7%
(+.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)))
50.7%
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
60.2%
(*.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)))))
40.9%
(*.f64 (sin.f64 y) (neg.f64 z))
87.6%
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
87.5%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
49.6%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (/.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 x)) (sqrt.f64 x))))
92.3%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
92.3%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
50.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
46.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
30.1%
(*.f64 x (*.f64 (sin.f64 y) (/.f64 z (neg.f64 x))))
60.5%
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
60.4%
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
60.5%
(*.f64 x (cos.f64 y))
60.3%
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
23.2%
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
28.4%
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
37.8%
x
Compiler

Compiled 687 to 456 computations (33.6% saved)

simplify98.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
cost-diff12864
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
cost-diff12864
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
cost-diff0
(/.f64 x z)
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 (cos.f64 y) (/.f64 x z))
cost-diff128
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
cost-diff0
(neg.f64 z)
cost-diff0
(sin.f64 y)
cost-diff0
(*.f64 (sin.f64 y) (neg.f64 z))
cost-diff-6336
(-.f64 x (*.f64 z y))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff19520
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
cost-diff19648
(*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
cost-diff19776
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
Rules
736×div-sub
647×fma-define
377×sub-neg
367×unsub-neg
332×distribute-lft-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033686
167649
2129594
3353448
41086448
52692448
64904448
77475448
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (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 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
#s(literal 2 binary64)
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
(neg.f64 (sin.f64 y))
(-.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(*.f64 (sin.f64 y) (neg.f64 z))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
z
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(*.f64 (cos.f64 y) (/.f64 x z))
(cos.f64 y)
y
(/.f64 x z)
x
(sin.f64 y)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
x
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
(cos.f64 y)
y
#s(literal 3 binary64)
Outputs
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 0 binary64) (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 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 0 binary64) (sin.f64 y)))))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
(*.f64 z (sin.f64 y))
z
(sin.f64 y)
(*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))))
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
#s(literal 0 binary64)
#s(literal 2 binary64)
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
(*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))))
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 0 binary64) (sin.f64 y)))
#s(literal 0 binary64)
(neg.f64 (sin.f64 y))
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
(fma.f64 z (neg.f64 y) x)
x
(*.f64 z y)
(*.f64 y z)
z
y
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(sin.f64 y)
y
(neg.f64 z)
z
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (neg.f64 (sin.f64 y)) (sin.f64 y))) (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 x (cos.f64 y)) (fma.f64 z (sin.f64 y) (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 0 binary64) (sin.f64 y)))))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
z
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y)))
(*.f64 (cos.f64 y) (/.f64 x z))
(*.f64 x (/.f64 (cos.f64 y) z))
(cos.f64 y)
y
(/.f64 x z)
x
(sin.f64 y)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(*.f64 x (cos.f64 y))
x
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(cos.f64 y)
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
(cos.f64 y)
y
#s(literal 3 binary64)

localize284.0ms (3.1%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
accuracy99.5%
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
accuracy99.4%
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
accuracy100.0%
(cos.f64 y)
accuracy100.0%
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
accuracy99.8%
(*.f64 (cos.f64 y) (/.f64 x z))
accuracy87.6%
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
accuracy100.0%
(sin.f64 y)
accuracy100.0%
(neg.f64 z)
accuracy99.8%
(*.f64 (sin.f64 y) (neg.f64 z))
accuracy100.0%
(-.f64 x (*.f64 z y))
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(*.f64 z (sin.f64 y))
accuracy15.7%
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
Results
153.0ms142×2valid
59.0ms74×1valid
15.0ms10×3valid
11.0ms30×0valid
Compiler

Compiled 152 to 26 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-mult: 35.0ms (23% of total)
ival-sin: 33.0ms (21.7% of total)
backward-pass: 19.0ms (12.5% of total)
ival-cos: 13.0ms (8.6% of total)
ival-pow: 12.0ms (7.9% of total)
ival-div: 9.0ms (5.9% of total)
ival-sub: 9.0ms (5.9% of total)
ival-fma: 8.0ms (5.3% of total)
ival-neg: 6.0ms (3.9% of total)
ival-cbrt: 4.0ms (2.6% of total)
ival-add: 3.0ms (2% of total)
const: 1.0ms (0.7% of total)

series101.0ms (1.1%)

Counts
14 → 328
Calls
Call 1
Inputs
#<alt (+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))>
#<alt (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))>
#<alt (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))>
#<alt (*.f64 z y)>
#<alt (-.f64 x (*.f64 z y))>
#<alt (*.f64 (sin.f64 y) (neg.f64 z))>
#<alt (neg.f64 z)>
#<alt (*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))>
#<alt (*.f64 (cos.f64 y) (/.f64 x z))>
#<alt (/.f64 x z)>
#<alt (*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))>
#<alt (pow.f64 (cos.f64 y) #s(literal 3 binary64))>
#<alt (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))>
Outputs
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 x (cos.f64 y))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x))) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x))) (/.f64 (*.f64 z (sin.f64 y)) x)))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.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 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.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 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.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 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y))) x)))))>
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#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))>
#<alt (*.f64 z (+.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 (*.f64 x (cos.f64 y)) z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 x y)))))>
#<alt (+.f64 x (*.f64 y (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (*.f64 y z)))))))>
#<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 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 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 (*.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 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 (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)) (/.f64 x z))>
#<alt (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)))) (/.f64 x z))>
#<alt (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)) (*.f64 #s(literal 1/24 binary64) (/.f64 x z)))))) (/.f64 x z))>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (*.f64 x (cos.f64 y)) 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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 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 7/8 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3/2 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 7/8 binary64) (*.f64 #s(literal -61/240 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 3/2 binary64))))>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z))>
#<alt (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z))>
#<alt (+.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/6 binary64) y))) #s(literal 1 binary64))) (/.f64 x z))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (/.f64 (cos.f64 y) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (/.f64 (cos.f64 y) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (/.f64 (cos.f64 y) z)))>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) z)) (/.f64 (sin.f64 y) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) z)) (/.f64 (sin.f64 y) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) z)) (/.f64 (sin.f64 y) x))))>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) z)>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
Calls

90 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(* z (- (* (cos y) (/ x z)) (sin y)))
1.0ms
y
@inf
(* z (- (* (cos y) (/ x z)) (sin y)))
1.0ms
z
@0
(* z (- (* (cos y) (/ x z)) (sin y)))
1.0ms
z
@-inf
(* z (- (* (cos y) (/ x z)) (sin y)))
1.0ms
y
@-inf
(+ (- (* x (cos y)) (* z (sin y))) (* 2 (+ (* (neg (sin y)) z) (* z (sin y)))))

rewrite575.0ms (6.3%)

Algorithm
batch-egg-rewrite
Rules
501×log1p-expm1-u
229×associate-*r*
229×expm1-log1p-u
224×add-cube-cbrt
222×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033402
1531351
27476351
Stop Event
node limit
Counts
14 → 353
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(*.f64 #s(literal 2 binary64) (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 z y)
(-.f64 x (*.f64 z y))
(*.f64 (sin.f64 y) (neg.f64 z))
(neg.f64 z)
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 (cos.f64 y) (/.f64 x z))
(/.f64 x z)
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))
(pow.f64 (cos.f64 y) #s(literal 3 binary64))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 #s(literal -2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (-.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.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 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (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)) (*.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) #s(literal 3 binary64)) #s(literal 8 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 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (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 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.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 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))))
(/.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 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (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 3 binary64)) (*.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) #s(literal 3 binary64)) #s(literal 8 binary64)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 x z) (sin.f64 y))))))
(/.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 x z) (sin.f64 y))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
(pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sin.f64 y))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sin.f64 y))

simplify334.0ms (3.7%)

Algorithm
egg-herbie
Rules
742×fma-define
401×*-commutative
338×times-frac
298×distribute-rgt-in
291×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096314301
1243514301
Stop Event
node limit
Counts
681 → 426
Calls
Call 1
Inputs
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x
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(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
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(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
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(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
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(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal 2 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -2 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 #s(literal -2 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
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(*.f64 #s(literal -2 binary64) (*.f64 z (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
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(*.f64 y (+.f64 z (+.f64 (*.f64 #s(literal -1 binary64) z) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (+.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 1/120 binary64) z)))))))))
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x
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x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 y z) x) #s(literal 1 binary64))))
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(*.f64 (sqrt.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) (sqrt.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 x z) (sin.f64 y))))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (sin.f64 y))) (-.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 x z) (sin.f64 y)))) (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 x z) (sin.f64 y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 x z) (sin.f64 y))))))
(/.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 (cos.f64 y) (*.f64 (/.f64 x z) (sin.f64 y))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
(pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 y) (/.f64 x z) (sin.f64 y))
(fma.f64 (/.f64 x z) (cos.f64 y) (sin.f64 y))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sin.f64 y))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sin.f64 y))
Outputs
(-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x))) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x))) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 x (-.f64 (+.f64 (cos.f64 y) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) x))) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (neg.f64 z) (sin.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 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y))) x)))))
(*.f64 (neg.f64 z) (sin.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 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y))) x)))))
(*.f64 (neg.f64 z) (sin.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 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 z (sin.f64 y))) x)))))
(*.f64 (neg.f64 z) (sin.f64 y))
x
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) z)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 x (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x y)) (*.f64 #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))) z)))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 x (*.f64 y (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/6 binary64) z))) (*.f64 #s(literal -1/6 binary64) z)))))) z)))
(*.f64 (neg.f64 z) (sin.f64 y))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))) (*.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 x (cos.f64 y))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(+.f64 (*.f64 x (cos.f64 y)) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (/.f64 (*.f64 x (cos.f64 y)) z)) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (/.f64 (*.f64 x (cos.f64 y)) z)) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y)))) (/.f64 (*.f64 x (cos.f64 y)) z)) (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (cos.f64 y)) z)) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 y) (*.f64 #s(literal -1 binary64) (sin.f64 y))))) (*.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 z (*.f64 #s(literal -1 binary64) z))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/6 binary64) z)))) (*.f64 #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z)))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/120 binary64) z) (*.f64 #s(literal 1/120 binary64) z)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/6 binary64) z)))))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 y (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 z (*.f64 #s(literal -1 binary64) z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) z) (*.f64 #s(literal 1/6 binary64) z))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) z) (*.f64 #s(literal 1/5040 binary64) z)))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/120 binary64) z) (*.f64 #s(literal 1/120 binary64) z)))))))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 #s(literal 2 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 2 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 2 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 2 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 2 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 2 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 2 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 2 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 -2 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 -2 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 -2 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 -2 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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eval201.0ms (2.2%)

Compiler

Compiled 20840 to 2829 computations (86.4% saved)

prune168.0ms (1.8%)

Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New91110921
Fresh31518
Picked235
Done033
Total91631947
Accuracy
100.0%
Counts
947 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
97.9%
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
75.8%
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
51.8%
(-.f64 x (*.f64 z y))
40.8%
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
36.3%
(+.f64 (*.f64 y z) x)
50.7%
(+.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)))
50.7%
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
18.6%
(*.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z)))))
40.2%
(*.f64 (sin.f64 y) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z))))
40.9%
(*.f64 (sin.f64 y) (neg.f64 z))
87.5%
(*.f64 z (-.f64 (/.f64 (cos.f64 y) (/.f64 z x)) (sin.f64 y)))
87.5%
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (cos.f64 y)))) (sin.f64 y)))
53.5%
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) y))
87.5%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
45.2%
(*.f64 z (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z)))
39.4%
(*.f64 y (-.f64 (/.f64 x y) z))
18.2%
(*.f64 y (neg.f64 z))
49.6%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (/.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 x)) (sqrt.f64 x))))
92.3%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
92.3%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
50.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
46.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
30.1%
(*.f64 x (*.f64 (sin.f64 y) (/.f64 z (neg.f64 x))))
60.5%
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
60.4%
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
60.5%
(*.f64 x (cos.f64 y))
60.3%
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
23.2%
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
37.8%
x
Compiler

Compiled 745 to 505 computations (32.2% saved)

simplify97.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 y)
cost-diff0
(*.f64 x (cos.f64 y))
cost-diff0
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
cost-diff12864
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
cost-diff0
(cos.f64 y)
cost-diff0
(/.f64 (cos.f64 y) z)
cost-diff0
(*.f64 x (/.f64 (cos.f64 y) z))
cost-diff128
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) z)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 y (neg.f64 z))
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
832×fma-define
641×fma-neg
603×distribute-lft-neg-in
544×times-frac
503×distribute-rgt-neg-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
036714
189714
2181714
3391706
4834693
52187689
64585689
77481689
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 y (neg.f64 z))
y
(neg.f64 z)
z
(*.f64 z (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z)))
z
(+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z))
(*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
y
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x y) z)
(*.f64 x y)
x
#s(literal 1 binary64)
(/.f64 x z)
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
z
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(*.f64 x (/.f64 (cos.f64 y) z))
x
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
(sin.f64 y)
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.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 y (neg.f64 z))
y
(neg.f64 z)
z
(*.f64 z (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z)))
(*.f64 z (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 z (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 x z)) #s(literal -1 binary64)) (/.f64 x z)))
(*.f64 z (fma.f64 y (fma.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (/.f64 x z)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 1 binary64))) z)))
(fma.f64 y (fma.f64 y (*.f64 x #s(literal -1/2 binary64)) (neg.f64 z)) x)
z
(+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)) (/.f64 x z))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 x z)) #s(literal -1 binary64)) (/.f64 x z))
(fma.f64 y (fma.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)) (/.f64 x z))
(fma.f64 y (fma.f64 x (*.f64 y (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)) (/.f64 x z))
(-.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 x z)) y)
(fma.f64 (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 x z) (neg.f64 y))
(fma.f64 (/.f64 x z) (fma.f64 y (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64)))
(*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 x z)) #s(literal -1 binary64)))
(*.f64 y (fma.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64)))
(*.f64 y (fma.f64 x (*.f64 y (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)))
(*.f64 y (fma.f64 y (*.f64 x (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64)))
y
(-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 x z)) #s(literal -1 binary64))
(fma.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) z) #s(literal -1 binary64))
(fma.f64 x (*.f64 y (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64))
(fma.f64 y (*.f64 x (/.f64 #s(literal -1/2 binary64) z)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z))
(*.f64 #s(literal -1/2 binary64) (*.f64 y (/.f64 x z)))
(*.f64 x (/.f64 (*.f64 y #s(literal -1/2 binary64)) z))
(*.f64 x (*.f64 y (/.f64 #s(literal -1/2 binary64) z)))
(*.f64 (*.f64 x y) (/.f64 #s(literal -1/2 binary64) z))
#s(literal -1/2 binary64)
(/.f64 (*.f64 x y) z)
(*.f64 y (/.f64 x z))
(*.f64 x (/.f64 y z))
(*.f64 x y)
x
#s(literal 1 binary64)
(/.f64 x z)
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
z
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
(-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(*.f64 x (/.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) (/.f64 x z))
x
(/.f64 (cos.f64 y) z)
(cos.f64 y)
y
(sin.f64 y)
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(*.f64 x (cos.f64 y))
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
(*.f64 x (cos.f64 y))
x
(cos.f64 y)
y
#s(literal 3 binary64)

localize150.0ms (1.7%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 y)
accuracy99.8%
(*.f64 x (cos.f64 y))
accuracy99.8%
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64))
accuracy37.1%
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
accuracy100.0%
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))
accuracy99.8%
(/.f64 (cos.f64 y) z)
accuracy99.7%
(*.f64 x (/.f64 (cos.f64 y) z))
accuracy87.6%
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
accuracy98.4%
(*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
accuracy94.8%
(/.f64 (*.f64 x y) z)
accuracy93.2%
(+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z))
accuracy90.7%
(*.f64 z (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z)))
accuracy100.0%
(*.f64 y (neg.f64 z))
accuracy100.0%
(neg.f64 z)
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
110.0ms256×0valid
Compiler

Compiled 193 to 30 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 22.0ms (30.9% of total)
ival-pow: 15.0ms (21.1% of total)
ival-sin: 8.0ms (11.3% of total)
ival-cos: 8.0ms (11.3% of total)
ival-div: 6.0ms (8.4% of total)
ival-sub: 5.0ms (7% of total)
ival-cbrt: 4.0ms (5.6% of total)
ival-add: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series109.0ms (1.2%)

Counts
13 → 303
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 y (neg.f64 z))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z))>
#<alt (/.f64 (*.f64 x y) z)>
#<alt (*.f64 x y)>
#<alt (*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))>
#<alt (*.f64 x (/.f64 (cos.f64 y) z))>
#<alt (/.f64 (cos.f64 y) z)>
#<alt (*.f64 z (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z)))>
#<alt (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z))>
#<alt (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))>
#<alt (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y))>
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))))>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) z)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) z)) (/.f64 y x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))) z)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) z)))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (/.f64 (cos.f64 y) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (/.f64 (cos.f64 y) z)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x)) (/.f64 (cos.f64 y) z)))>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) z)) (/.f64 (sin.f64 y) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) z)) (/.f64 (sin.f64 y) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) z)) (/.f64 (sin.f64 y) x))))>
#<alt (/.f64 x z)>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) y) (/.f64 x z))>
#<alt (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z))>
#<alt (+.f64 (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x z)) (*.f64 #s(literal 1/6 binary64) y))) #s(literal 1 binary64))) (/.f64 x z))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (/.f64 (*.f64 x (cos.f64 y)) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) z)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))) z)>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (*.f64 #s(literal -1 binary64) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
#<alt (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))>
Calls

108 calls:

TimeVariablePointExpression
7.0ms
x
@0
(cbrt (- (* x (cos y)) (* z (sin y))))
3.0ms
z
@inf
(cbrt (- (* x (cos y)) (* z (sin y))))
3.0ms
x
@-inf
(cbrt (- (* x (cos y)) (* z (sin y))))
3.0ms
x
@inf
(cbrt (- (* x (cos y)) (* z (sin y))))
3.0ms
z
@0
(cbrt (- (* x (cos y)) (* z (sin y))))

rewrite142.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
276×associate-*r*
256×log1p-expm1-u
256×expm1-log1p-u
251×add-cube-cbrt
249×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034446
1574434
Stop Event
node limit
Counts
13 → 370
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 y (neg.f64 z))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z))
(/.f64 (*.f64 x y) z)
(*.f64 x y)
(*.f64 z (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.f64 y)))
(*.f64 x (/.f64 (cos.f64 y) z))
(/.f64 (cos.f64 y) z)
(*.f64 z (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z)))
(+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z))
(*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (sin.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 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 z (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.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))))
(+.f64 (fma.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 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 x (cos.f64 y) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cos.f64 y) x (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (cos.f64 y)) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (cos.f64 y))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (neg.f64 (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))) (fma.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x (cos.f64 y)) #s(literal 1 binary64)) (*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (*.f64 z (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 3 binary64)) (+.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x (*.f64 (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 x (*.f64 (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 (cbrt.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 2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (cbrt.f64 (pow.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 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (cbrt.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 2 binary64)))))
(*.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 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (fma.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 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (*.f64 x (*.f64 (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 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.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 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 2 binary64))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/6 binary64))) (pow.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) #s(literal 1/6 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 x (*.f64 (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))))
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(pow.f64 (cbrt.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (/.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (/.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (/.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (/.f64 x z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (/.f64 x z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (/.f64 x z)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) y) (exp.f64 (/.f64 x z))))
(cbrt.f64 (pow.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (/.f64 x z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (/.f64 x z))))
(log1p.f64 (expm1.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (/.f64 x z))))
(exp.f64 (log.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (/.f64 x z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (/.f64 x z))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)) y (/.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x z)) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))) (/.f64 x z))
(fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))) (/.f64 x z))
(+.f64 (*.f64 y (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z))) (*.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z)) y) (*.f64 #s(literal -1 binary64) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z)) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z)))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))
(+.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (sin.f64 y)))
(+.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y)))
(+.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) (sqrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (sin.f64 y))) (-.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))))) (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))))
(pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (neg.f64 (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (neg.f64 (sin.f64 y)))

simplify417.0ms (4.6%)

Algorithm
egg-herbie
Rules
800×fma-define
363×*-commutative
347×distribute-rgt-in
339×distribute-lft-in
285×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0131238654740802
1345438654739428
Stop Event
node limit
Counts
673 → 757
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))
(*.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)))))
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(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 y z)) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 y z)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))
(+.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (sin.f64 y)))
(+.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (sin.f64 y)))
(+.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (neg.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64) (*.f64 (sin.f64 y) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(*.f64 (cbrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(*.f64 (sqrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) (sqrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (sin.f64 y))) (-.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))))) (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (+.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))))
(pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (neg.f64 (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (neg.f64 (sin.f64 y)))
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 (*.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) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) 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) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) 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) (neg.f64 (/.f64 (*.f64 z (sin.f64 y)) 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))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (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))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (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))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (cos.f64 y) (/.f64 (*.f64 z (sin.f64 y)) x)))
(*.f64 (fma.f64 z (/.f64 (sin.f64 y) x) (neg.f64 (cos.f64 y))) (neg.f64 x))
x
(+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 y z)))
(+.f64 x (*.f64 y (neg.f64 z)))
(-.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)))
(fma.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (neg.f64 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 (-.f64 (*.f64 y (fma.f64 x #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal 1/6 binary64)))) 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 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(*.f64 z (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))
(*.f64 z (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(*.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 #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 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) (neg.f64 z)))))
(*.f64 (-.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))) (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 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) (neg.f64 z)))))
(*.f64 (-.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))) (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 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) (neg.f64 z)))))
(*.f64 (-.f64 (sin.f64 y) (*.f64 x (/.f64 (cos.f64 y) z))) (neg.f64 z))
(*.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))))
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(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))) (*.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)) (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y)))) (-.f64 (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y))))
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (cos.f64 y)) z) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (cos.f64 y) z)) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 x (/.f64 (cos.f64 y) z) (sin.f64 y)))
(pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 3 binary64))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(pow.f64 (pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))
(log.f64 (exp.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))))))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) #s(literal 3 binary64)))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))))
(log1p.f64 (expm1.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(exp.f64 (log.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y)))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (cos.f64 y) z)) (neg.f64 (sin.f64 y)))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (neg.f64 (sin.f64 y)))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (sqrt.f64 (*.f64 x (/.f64 (cos.f64 y) z))) (neg.f64 (sin.f64 y)))
(-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y))
(fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y)))

eval521.0ms (5.7%)

Compiler

Compiled 28608 to 5155 computations (82% saved)

prune278.0ms (3.1%)

Pruning

29 alts after pruning (20 fresh and 9 done)

PrunedKeptTotal
New129641300
Fresh41620
Picked235
Done066
Total1302291331
Accuracy
100.0%
Counts
1331 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) #s(literal 2 binary64))
40.2%
(pow.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
99.8%
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
75.8%
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
51.8%
(-.f64 x (*.f64 z y))
40.8%
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
50.7%
(+.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)))
50.7%
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
18.6%
(*.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z)))))
40.2%
(*.f64 (sin.f64 y) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z))))
40.9%
(*.f64 (sin.f64 y) (neg.f64 z))
87.6%
(*.f64 z (-.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)))
53.5%
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) y))
45.2%
(*.f64 z (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x z)))
69.8%
(*.f64 z (expm1.f64 (log1p.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))))
3.0%
(*.f64 z y)
39.4%
(*.f64 y (-.f64 (/.f64 x y) z))
18.2%
(*.f64 y (neg.f64 z))
92.3%
(*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
92.3%
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
50.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
46.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
30.1%
(*.f64 x (*.f64 (sin.f64 y) (/.f64 z (neg.f64 x))))
60.5%
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
60.4%
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
60.5%
(*.f64 x (cos.f64 y))
60.3%
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
23.2%
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
37.8%
x
Compiler

Compiled 918 to 418 computations (54.5% saved)

regimes113.0ms (1.2%)

Counts
50 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y z) x)
(-.f64 x (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 z (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x 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 (sin.f64 y) (neg.f64 z))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (/.f64 z (neg.f64 x))))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) y))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.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 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) (/.f64 z x)) (sin.f64 y)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (cos.f64 y)))) (sin.f64 y)))
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(pow.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(*.f64 (sin.f64 y) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) z)))))
(*.f64 (sin.f64 y) (*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z))))
(-.f64 (*.f64 x (log.f64 (exp.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (log1p.f64 (expm1.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 (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (*.f64 z (sin.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (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 z (expm1.f64 (log1p.f64 (-.f64 (/.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)))))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 (/.f64 (*.f64 z (sin.f64 y)) (sqrt.f64 x)) (sqrt.f64 x))))
(+.f64 (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(-.f64 (*.f64 (*.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) (/.f64 z x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (*.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 y)) z (*.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 (neg.f64 z) (pow.f64 (cbrt.f64 (sin.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 y)) (*.f64 x (cos.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)))))
(fma.f64 z (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (sin.f64 y))))) (*.f64 x (cos.f64 y)))
Outputs
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
Calls

4 calls:

66.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
15.0ms
y
15.0ms
x
14.0ms
z
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)

regimes39.0ms (0.4%)

Counts
30 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y z) x)
(-.f64 x (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 z (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x 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 (sin.f64 y) (neg.f64 z))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (/.f64 z (neg.f64 x))))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) y))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(*.f64 x (-.f64 (cos.f64 y) (*.f64 z (/.f64 (sin.f64 y) x))))
(*.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 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 x (/.f64 z (cos.f64 y))) (sin.f64 y)))
(*.f64 z (-.f64 (/.f64 (cos.f64 y) (/.f64 z x)) (sin.f64 y)))
(*.f64 x (-.f64 (cos.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (sin.f64 y))))))
(*.f64 z (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (cos.f64 y)))) (sin.f64 y)))
(*.f64 x (log.f64 (exp.f64 (cos.f64 y))))
(*.f64 x (log1p.f64 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)))
(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))))
(pow.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) #s(literal 3 binary64))
Outputs
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

9.0ms
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
9.0ms
y
9.0ms
x
9.0ms
z
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)

regimes18.0ms (0.2%)

Counts
16 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y z) x)
(-.f64 x (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 z (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x 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 (sin.f64 y) (neg.f64 z))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 x (*.f64 (sin.f64 y) (/.f64 z (neg.f64 x))))
(*.f64 z (-.f64 (*.f64 (cos.f64 y) (/.f64 x z)) y))
Outputs
(*.f64 x (cos.f64 y))
(-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y)))
(*.f64 x (cos.f64 y))
Calls

3 calls:

6.0ms
x
5.0ms
z
5.0ms
y
Results
AccuracySegmentsBranch
88.9%3x
78.1%2y
87.3%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts
13 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y z) x)
(-.f64 x (*.f64 z y))
(*.f64 y (-.f64 (/.f64 x y) z))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (/.f64 y x))))
(+.f64 x (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 z x)))))
(*.f64 z (+.f64 (*.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x y) z)) #s(literal 1 binary64))) (/.f64 x 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 (sin.f64 y) (neg.f64 z))
Outputs
(*.f64 x (cos.f64 y))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 x (cos.f64 y))
Calls

2 calls:

5.0ms
z
5.0ms
x
Results
AccuracySegmentsBranch
72.8%3z
80.1%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes11.0ms (0.1%)

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

2 calls:

5.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
75.8%3y
70.4%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes14.0ms (0.2%)

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

3 calls:

5.0ms
y
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
51.8%1x
51.8%1z
51.8%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y z) x)
Outputs
x
(*.f64 y (neg.f64 z))
x
Calls

3 calls:

5.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
42.2%3z
43.4%3x
37.8%1y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total -22.6b remaining (-56.8%)

Threshold costs -22.6b (-56.8%)

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

2 calls:

2.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
37.8%1z
37.8%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch42.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.0911933614668717e+31
7.79412636331141e+34
22.0ms
-8.925979030352344e+22
-78090554843.33183
Results
29.0ms288×0valid
Compiler

Compiled 378 to 283 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-cos: 7.0ms (36.4% of total)
ival-sin: 6.0ms (31.2% of total)
ival-mult: 4.0ms (20.8% of total)
ival-sub: 1.0ms (5.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch234.0ms (2.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
209.0ms
1.3193397367438255e-52
4.7880650686665725e-51
23.0ms
-1.7075844119449742e-78
-1.4871564559204511e-80
Results
218.0ms224×0valid
Compiler

Compiled 256 to 195 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-cos: 199.0ms (94.7% of total)
ival-sin: 6.0ms (2.9% of total)
ival-mult: 4.0ms (1.9% of total)
ival-sub: 1.0ms (0.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
5.412511654124002e-6
0.00028073818488982453
18.0ms
-0.01610579432952458
-9.942748303946174e-16
Results
22.0ms272×0valid
Compiler

Compiled 511 to 353 computations (30.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (32% of total)
ival-sin: 4.0ms (32% of total)
ival-cos: 3.0ms (24% of total)
ival-sub: 1.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
1.3193397367438255e-52
4.7880650686665725e-51
16.0ms
-1.7075844119449742e-78
-1.4871564559204511e-80
Results
24.0ms224×0valid
Compiler

Compiled 200 to 153 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 6.0ms (36.7% of total)
ival-sin: 6.0ms (36.7% of total)
ival-mult: 3.0ms (18.3% of total)
ival-sub: 1.0ms (6.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
15×*-commutative
11×+-commutative
sub-neg
if-if-or-not
cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063414
1114414
2134414
3142414
4146414
5147414
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -440000000000000 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 19000000000000000659282848645120 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (<=.f64 x #s(literal -8343699359066055/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 4852790400087115/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))))
(if (<=.f64 y #s(literal -1152921504606847/72057594037927936 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 2582544170319337/9223372036854775808 binary64)) (+.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 x (*.f64 z y))
(if (<=.f64 x #s(literal -750932942315945/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) x (if (<=.f64 x #s(literal 395974216673775/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (*.f64 y (neg.f64 z)) x))
x
Outputs
(fma.f64 z (neg.f64 (sin.f64 y)) (*.f64 x (cos.f64 y)))
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x #s(literal -440000000000000 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 19000000000000000659282848645120 binary64)) (-.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 z (sin.f64 y))) (*.f64 x (cos.f64 y))))
(if (or (<=.f64 x #s(literal -440000000000000 binary64)) (not (<=.f64 x #s(literal 19000000000000000659282848645120 binary64)))) (*.f64 x (cos.f64 y)) (-.f64 x (*.f64 z (sin.f64 y))))
(if (<=.f64 x #s(literal -8343699359066055/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 x #s(literal 4852790400087115/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (*.f64 (sin.f64 y) (neg.f64 z)) (*.f64 x (cos.f64 y))))
(if (or (<=.f64 x #s(literal -8343699359066055/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (not (<=.f64 x #s(literal 4852790400087115/26959946667150639794667015087019630673637144422540572481103610249216 binary64)))) (*.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) (neg.f64 z)))
(if (or (<=.f64 x #s(literal -8343699359066055/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (not (<=.f64 x #s(literal 4852790400087115/26959946667150639794667015087019630673637144422540572481103610249216 binary64)))) (*.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(if (<=.f64 y #s(literal -1152921504606847/72057594037927936 binary64)) (*.f64 x (cos.f64 y)) (if (<=.f64 y #s(literal 2582544170319337/9223372036854775808 binary64)) (+.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))))
(if (or (<=.f64 y #s(literal -1152921504606847/72057594037927936 binary64)) (not (<=.f64 y #s(literal 2582544170319337/9223372036854775808 binary64)))) (*.f64 x (cos.f64 y)) (+.f64 x (*.f64 y (-.f64 (*.f64 y (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 z y)))) z))))
(-.f64 x (*.f64 z y))
(if (<=.f64 x #s(literal -750932942315945/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) x (if (<=.f64 x #s(literal 395974216673775/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (*.f64 y (neg.f64 z)) x))
x

soundness533.0ms (5.9%)

Rules
671×fma-neg
489×fma-define
419×cancel-sign-sub-inv
350×fma-neg
314×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043453
1111417
2211417
3468417
4925417
51420417
61774417
72107417
82142417
92157417
062619186
1138417987
2433316882
Stop Event
fuel
node limit
saturated
Compiler

Compiled 238 to 99 computations (58.4% saved)

preprocess52.0ms (0.6%)

Compiler

Compiled 240 to 120 computations (50% saved)

end0.0ms (0%)

Profiling

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