Linear.Quaternion:$csin from linear-1.19.1.3

Time bar (total: 4.3s)

analyze63.0ms (1.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-cos: 49.0ms (90.5% of total)
ival-mult: 3.0ms (5.5% of total)
ival-div: 1.0ms (1.8% of total)
ival-sinh: 1.0ms (1.8% of total)
const: 0.0ms (0% of total)

sample1.4s (32.4%)

Results
976.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 739.0ms
ival-cos: 284.0ms (38.4% of total)
ival-div: 242.0ms (32.7% of total)
ival-sinh: 138.0ms (18.7% of total)
ival-mult: 64.0ms (8.7% of total)
const: 7.0ms (0.9% of total)
backward-pass: 3.0ms (0.4% of total)
Bogosity

preprocess105.0ms (2.4%)

Algorithm
egg-herbie
Rules
919×fma-define
640×div-sub
532×fma-neg
324×associate-/r*
278×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025218
167218
2170218
3547218
41851218
54596218
66978218
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(neg.f64 (*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(neg.f64 (*.f64 (cos.f64 (neg.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (neg.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (neg.f64 (sinh.f64 y)) y))
(neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 (neg.f64 y)) (neg.f64 y))))
(*.f64 (cos.f64 x) (neg.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) (neg.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (neg.f64 (sinh.f64 y)) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))
Symmetry

(abs x)

(abs y)

explain70.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
00-0-(cos.f64 x)
00-0-(/.f64 (sinh.f64 y) y)
00-0-y
00-0-(sinh.f64 y)
Results
50.0ms512×256valid
Compiler

Compiled 49 to 20 computations (59.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-cos: 13.0ms (46.5% of total)
ival-mult: 6.0ms (21.4% of total)
ival-sinh: 5.0ms (17.9% of total)
ival-div: 4.0ms (14.3% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize32.0ms (0.7%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(sinh.f64 y)
100.0%
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
Results
22.0ms256×256valid
Compiler

Compiled 20 to 7 computations (65% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-cos: 6.0ms (51.1% of total)
ival-div: 2.0ms (17% of total)
ival-mult: 2.0ms (17% of total)
ival-sinh: 2.0ms (17% of total)
const: 0.0ms (0% of total)

series16.0ms (0.4%)

Counts
2 → 36
Calls
Call 1
Inputs
#<alt (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))>
#<alt (sinh.f64 y)>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (cos.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/120 binary64) (cos.f64 x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) 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 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 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 #s(literal 1/6 binary64) (*.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)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))>
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(* (cos x) (/ (sinh y) y))
3.0ms
y
@-inf
(* (cos x) (/ (sinh y) y))
2.0ms
y
@inf
(* (cos x) (/ (sinh y) y))
2.0ms
x
@inf
(* (cos x) (/ (sinh y) y))
1.0ms
y
@0
(* (cos x) (/ (sinh y) y))

rewrite215.0ms (5%)

Algorithm
batch-egg-rewrite
Rules
669×log1p-expm1-u
669×expm1-log1p-u
611×unpow-prod-down
363×log-prod
227×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
113538
2176738
Stop Event
node limit
Counts
2 → 71
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(sinh.f64 y)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 1 binary64))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (cos.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sinh.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 (exp.f64 (log1p.f64 y))) (cosh.f64 #s(literal 1 binary64))) (*.f64 (cosh.f64 (exp.f64 (log1p.f64 y))) (sinh.f64 #s(literal 1 binary64))))
(*.f64 (sinh.f64 y) #s(literal 1 binary64))
(*.f64 (sinh.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sinh.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sinh.f64 y))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(pow.f64 (sinh.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sinh.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sinh.f64 y))))
(cbrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sinh.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sinh.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify72.0ms (1.7%)

Algorithm
egg-herbie
Rules
914×times-frac
857×fma-define
346×associate-*r/
317×distribute-lft-in
295×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02483556
15743476
219073237
Stop Event
node limit
Counts
107 → 129
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (cos.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/120 binary64) (cos.f64 x)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) 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 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.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)))))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))))
(+.f64 #s(literal 0 binary64) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 1 binary64))
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (cos.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sinh.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(-.f64 (*.f64 (sinh.f64 (exp.f64 (log1p.f64 y))) (cosh.f64 #s(literal 1 binary64))) (*.f64 (cosh.f64 (exp.f64 (log1p.f64 y))) (sinh.f64 #s(literal 1 binary64))))
(*.f64 (sinh.f64 y) #s(literal 1 binary64))
(*.f64 (sinh.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sinh.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sinh.f64 y))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sinh.f64 y))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(pow.f64 (sinh.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sinh.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sinh.f64 y))))
(cbrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sinh.f64 y))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sinh.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))) y)
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) #s(literal 1/48 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (exp.f64 y) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))) y))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/1440 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/48 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/48 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal -1/1440 binary64)))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal -1/4 binary64))) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 #s(literal 1/2 binary64) y)))
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(/.f64 (*.f64 (cos.f64 x) (neg.f64 (sinh.f64 y))) (neg.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (cos.f64 x)) (neg.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) #s(literal 1 binary64)) y)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(/.f64 (/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 3 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 2 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(pow.f64 (/.f64 y (*.f64 (cos.f64 x) (sinh.f64 y))) #s(literal -1 binary64))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 2 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) #s(literal 3 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 3 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 1/3 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))) #s(literal 2 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
(+.f64 #s(literal 0 binary64) (sinh.f64 y))
(sinh.f64 y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) #s(literal 1 binary64))
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 y)) #s(literal 2 binary64)))
(sinh.f64 y)
(-.f64 (*.f64 (sinh.f64 (exp.f64 (log1p.f64 y))) (cosh.f64 #s(literal 1 binary64))) (*.f64 (cosh.f64 (exp.f64 (log1p.f64 y))) (sinh.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sinh.f64 (+.f64 y #s(literal 1 binary64))) (cosh.f64 #s(literal 1 binary64))) (*.f64 (cosh.f64 (+.f64 y #s(literal 1 binary64))) (sinh.f64 #s(literal 1 binary64))))
(*.f64 (sinh.f64 y) #s(literal 1 binary64))
(sinh.f64 y)
(*.f64 (sinh.f64 y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sinh.f64 y)
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 1/2 binary64))
(sinh.f64 y)
(*.f64 #s(literal 1 binary64) (sinh.f64 y))
(sinh.f64 y)
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)))
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 2 binary64)) (cbrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sinh.f64 y))
(sinh.f64 y)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)))
(sinh.f64 y)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (cbrt.f64 (sinh.f64 y))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) (sqrt.f64 (sinh.f64 y))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 5 binary64))) (cbrt.f64 (sqrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))))
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -2 binary64))
(sinh.f64 y)
(pow.f64 (sinh.f64 y) #s(literal 1 binary64))
(sinh.f64 y)
(pow.f64 (cbrt.f64 (sinh.f64 y)) #s(literal 3 binary64))
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sinh.f64 y)
(pow.f64 (sqrt.f64 (sinh.f64 y)) #s(literal 2 binary64))
(sinh.f64 y)
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 y))) #s(literal -1 binary64))
(sinh.f64 y)
(sqrt.f64 (pow.f64 (sinh.f64 y) #s(literal 2 binary64)))
(sinh.f64 y)
(log.f64 (exp.f64 (sinh.f64 y)))
(sinh.f64 y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sinh.f64 y))))
(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) #s(literal 3 binary64)))
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(sinh.f64 y)
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(sinh.f64 y)
(exp.f64 (log.f64 (sinh.f64 y)))
(sinh.f64 y)
(exp.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 1 binary64)))
(sinh.f64 y)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sinh.f64 y))) #s(literal 3 binary64)))
(sinh.f64 y)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sinh.f64 y))) #s(literal 1/3 binary64)))
(sinh.f64 y)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sinh.f64 y))) #s(literal 2 binary64)))
(sinh.f64 y)
(exp.f64 (*.f64 (*.f64 (log.f64 (sinh.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sinh.f64 y)

eval28.0ms (0.6%)

Compiler

Compiled 1994 to 928 computations (53.5% saved)

prune19.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1263129
Fresh000
Picked101
Done000
Total1273130
Accuracy
100.0%
Counts
130 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
55.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
49.2%
(cos.f64 x)
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize547.0ms (12.6%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 y (sinh.f64 y))
100.0%
(sinh.f64 y)
100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
99.9%
(/.f64 (cos.f64 x) y)
99.9%
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
56.1%
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
Results
305.0ms129×8192exit
39.0ms63×1024valid
154.0ms32×256valid
10.0ms25×512valid
6.0ms2048valid
Compiler

Compiled 69 to 16 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-cos: 128.0ms (58.2% of total)
ival-exp: 26.0ms (11.8% of total)
ival-div: 25.0ms (11.4% of total)
ival-mult: 15.0ms (6.8% of total)
ival-sinh: 10.0ms (4.5% of total)
ival-neg: 8.0ms (3.6% of total)
ival-sub: 6.0ms (2.7% of total)
const: 2.0ms (0.9% of total)

series23.0ms (0.5%)

Counts
5 → 72
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))>
#<alt (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))>
#<alt (/.f64 (cos.f64 x) y)>
#<alt (/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))>
#<alt (/.f64 y (sinh.f64 y))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) y)>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (*.f64 y (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))>
#<alt (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))>
#<alt (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))>
#<alt (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (cos.f64 x)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/60 binary64) (cos.f64 x)))))))>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))) y)>
#<alt (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (/.f64 (exp.f64 y) y)) (/.f64 (exp.f64 (neg.f64 y)) y))>
#<alt (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)))) (/.f64 (exp.f64 y) y)) (/.f64 (exp.f64 (neg.f64 y)) y))>
#<alt (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))) (/.f64 (exp.f64 y) y)) (/.f64 (exp.f64 (neg.f64 y)) y))>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)>
#<alt (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (cos.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/120 binary64) (cos.f64 x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 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 7/360 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 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 7/360 binary64) (*.f64 #s(literal -31/15120 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))>
Calls

24 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(/ y (sinh y))
1.0ms
y
@-inf
(* (- (exp y) (exp (neg y))) (/ (cos x) y))
1.0ms
y
@inf
(/ y (sinh y))
1.0ms
x
@0
(* (- (exp y) (exp (neg y))) (/ (cos x) y))
1.0ms
y
@inf
(* (- (exp y) (exp (neg y))) (/ (cos x) y))

rewrite41.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
123×add-exp-log
123×add-log-exp
123×log1p-expm1-u
123×expm1-log1p-u
121×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01870
127470
2489970
Stop Event
unsound
Counts
5 → 40
Calls
Call 1
Inputs
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (cos.f64 x) y)
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 y (sinh.f64 y))
Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

simplify91.0ms (2.1%)

Algorithm
egg-herbie
Rules
851×fma-define
784×distribute-lft-in
753×distribute-rgt-in
580×associate-*r*
487×associate-*l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01683992
15163860
216243528
348663438
Stop Event
node limit
Counts
112 → 119
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 y (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 y #s(literal 2 binary64)))))))))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (cos.f64 x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/60 binary64) (cos.f64 x)))))))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))) y)
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (/.f64 (exp.f64 y) y)) (/.f64 (exp.f64 (neg.f64 y)) y))
(-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)))) (/.f64 (exp.f64 y) y)) (/.f64 (exp.f64 (neg.f64 y)) y))
(-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))) (/.f64 (exp.f64 y) y)) (/.f64 (exp.f64 (neg.f64 y)) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(/.f64 #s(literal 1 binary64) y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y)) (*.f64 #s(literal 1/48 binary64) (/.f64 (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y))) y)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/6 binary64) (cos.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/120 binary64) (cos.f64 x)))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 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 7/360 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 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 7/360 binary64) (*.f64 #s(literal -31/15120 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
Outputs
(*.f64 #s(literal 2 binary64) y)
(*.f64 y (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 y (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64))))
(*.f64 y (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 y (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/60 binary64))))))
(*.f64 y (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 y (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) y (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1/60 binary64) (pow.f64 y #s(literal 5 binary64)))))
(*.f64 y (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 y #s(literal 2 binary64)))))))))
(*.f64 y (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2520 binary64))))))))
(*.f64 y (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(*.f64 y (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/60 binary64) (fma.f64 #s(literal 1/2520 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (cos.f64 x))
(+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/60 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/3 binary64) (cos.f64 x)))))
(fma.f64 #s(literal 2 binary64) (cos.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/3 binary64) (cos.f64 x)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(fma.f64 #s(literal 2 binary64) (cos.f64 x) (*.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/60 binary64) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/60 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (cos.f64 x)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2520 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/60 binary64) (cos.f64 x)))))))
(fma.f64 #s(literal 2 binary64) (cos.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (cos.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/60 binary64) (cos.f64 x)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (cos.f64 x) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 #s(literal 1/3 binary64) (cos.f64 x))) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (cos.f64 x) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/60 binary64) (fma.f64 #s(literal 1/2520 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (*.f64 #s(literal -1 binary64) y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)
(-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (/.f64 (exp.f64 y) y)) (/.f64 (exp.f64 (neg.f64 y)) y))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (*.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)))) (/.f64 (exp.f64 y) y)) (/.f64 (exp.f64 (neg.f64 y)) y))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) #s(literal 1/24 binary64)))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64)))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)) (*.f64 #s(literal 1/24 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))))) (/.f64 (exp.f64 y) y)) (/.f64 (exp.f64 (neg.f64 y)) y))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/24 binary64)))))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/24 binary64) (*.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal -1/720 binary64))) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal -1/2 binary64))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y)
(*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y))
(/.f64 #s(literal 1 binary64) y)
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y))
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(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 (cos.f64 x) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 (cos.f64 x) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)))
(*.f64 (cos.f64 x) (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 (exp.f64 y) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (exp.f64 y))) y))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 7/360 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 7/360 binary64) (pow.f64 y #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 7/360 binary64) #s(literal -1/6 binary64)) #s(literal 1 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 7/360 binary64) (*.f64 #s(literal -31/15120 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 7/360 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -31/15120 binary64))) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal -31/15120 binary64) #s(literal 7/360 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 7/360 binary64) (fma.f64 #s(literal -31/15120 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (/.f64 #s(literal 1 binary64) (exp.f64 y)))))
(*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)
#s(literal -2 binary64)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 8 binary64)

eval45.0ms (1%)

Compiler

Compiled 3501 to 1865 computations (46.7% saved)

prune26.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1812183
Fresh000
Picked033
Done000
Total1815186
Accuracy
100.0%
Counts
186 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
55.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
49.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (cos.f64 x) y)))
3.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 x) y)))
49.2%
(cos.f64 x)
Compiler

Compiled 50 to 37 computations (26% saved)

localize64.0ms (1.5%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
99.8%
(/.f64 (cos.f64 x) y)
99.7%
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (cos.f64 x) y))
99.8%
(/.f64 (cos.f64 x) y)
Results
45.0ms256×256valid
Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 14.0ms (53.3% of total)
ival-cos: 8.0ms (30.4% of total)
ival-div: 3.0ms (11.4% of total)
const: 1.0ms (3.8% of total)

series2.0ms (0.1%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (cos.f64 x) y))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* (* 2 y) (/ (cos x) y))
0.0ms
y
@0
(* (* 2 y) (/ (cos x) y))
0.0ms
x
@-inf
(* (* 2 y) (/ (cos x) y))
0.0ms
x
@0
(* (* 2 y) (/ (cos x) y))
0.0ms
y
@inf
(* (* 2 y) (/ (cos x) y))

rewrite142.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
679×unpow-prod-down
666×log1p-expm1-u
666×expm1-log1p-u
395×log-prod
176×pow2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
113532
2178132
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (cos.f64 x) y))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)) y)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal 2 binary64) y)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x))) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify77.0ms (1.8%)

Algorithm
egg-herbie
Rules
501×distribute-lft-in
458×associate-*r*
426×associate-*l*
345×times-frac
337×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01071011
1224995
2676905
34114887
Stop Event
node limit
Counts
55 → 49
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)) y)
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (cos.f64 x))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal 2 binary64) y)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x))) #s(literal -1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/360 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) (fma.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)) y)
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x))) (neg.f64 y))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (cos.f64 x))) (neg.f64 y))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal 2 binary64) y)) (neg.f64 y))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)) #s(literal 1 binary64)) y)
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(pow.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(pow.f64 (/.f64 y (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 y (/.f64 (cos.f64 x) y)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 x) y)) (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))

eval73.0ms (1.7%)

Compiler

Compiled 1874 to 1386 computations (26% saved)

prune17.0ms (0.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New956101
Fresh000
Picked202
Done033
Total979106
Accuracy
100.0%
Counts
106 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
49.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))
28.3%
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
55.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
27.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) y)))
28.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) y))))
3.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))
27.4%
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
49.2%
(cos.f64 x)
Compiler

Compiled 158 to 128 computations (19% saved)

localize162.0ms (3.7%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
99.7%
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) y))
99.8%
(/.f64 y (cos.f64 x))
99.8%
(/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))
Results
101.0ms256×256valid
Compiler

Compiled 102 to 70 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 26.0ms (38.8% of total)
ival-div: 20.0ms (29.8% of total)
ival-pow: 8.0ms (11.9% of total)
ival-cos: 6.0ms (8.9% of total)
const: 4.0ms (6% of total)
ival-sub: 3.0ms (4.5% of total)

series9.0ms (0.2%)

Counts
4 → 52
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))>
#<alt (/.f64 y (cos.f64 x))>
#<alt (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt (*.f64 #s(literal 2 binary64) (cos.f64 x))>
#<alt y>
#<alt (+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) y) (*.f64 #s(literal 1/24 binary64) y)))) (*.f64 #s(literal -1/2 binary64) y))))>
#<alt (+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) y) (+.f64 (*.f64 #s(literal 1/48 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) y) (*.f64 #s(literal 1/24 binary64) y))))))) (+.f64 (*.f64 #s(literal -1/4 binary64) y) (*.f64 #s(literal 1/24 binary64) y)))) (*.f64 #s(literal -1/2 binary64) y))))>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt #s(literal 2 binary64)>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))>
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ y (cos x))
1.0ms
x
@0
(/ y (cos x))
0.0ms
x
@inf
(/ y (cos x))
0.0ms
y
@0
(/ y (cos x))
0.0ms
y
@-inf
(/ y (cos x))

rewrite133.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
818×log1p-expm1-u
818×expm1-log1p-u
649×log-prod
201×expm1-undefine
201×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01884
125248
2357648
Stop Event
node limit
Counts
4 → 141
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x)))
(/.f64 y (cos.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 y (/.f64 #s(literal 2 binary64) (/.f64 y (cos.f64 x))))
(*.f64 y (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 x) y)))
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (cos.f64 x) y))
(*.f64 (cos.f64 x) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 y (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 (cos.f64 x) y)))
(*.f64 (cbrt.f64 #s(literal 4 binary64)) (*.f64 (cbrt.f64 #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 y (cos.f64 x))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 (cos.f64 x) y)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) y) (cbrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (cos.f64 x)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 y (cos.f64 x)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) y) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (/.f64 (cos.f64 x) y))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 y (cos.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) y) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 y (cos.f64 x)))) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (cbrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 y)) (neg.f64 (cos.f64 x)))
(pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 x))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (neg.f64 y) (cos.f64 x))))
(neg.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 y (cos.f64 x))))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 #s(literal 8 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 y (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 y (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 y (cos.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 y (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (cos.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (cos.f64 x)))) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 y (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (cos.f64 x)))
(*.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (/.f64 y (cos.f64 x))) (sqrt.f64 (/.f64 y (cos.f64 x))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (cos.f64 x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y) (cos.f64 x)))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (cos.f64 x))) (/.f64 y (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 (cos.f64 x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 (cos.f64 x))))
(pow.f64 (/.f64 y (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (cos.f64 x) y) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 y) (cos.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 y (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y (cos.f64 x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 y (cos.f64 x))))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 y) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 y (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y (cos.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 y (cos.f64 x))))
(exp.f64 (log.f64 (/.f64 y (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (cos.f64 x))) #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (neg.f64 x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) x #s(literal 2 binary64))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))

simplify91.0ms (2.1%)

Algorithm
egg-herbie
Rules
738×fma-define
465×associate-/l*
342×distribute-lft-in
322×distribute-rgt-in
318×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03884167
18804058
226654023
Stop Event
node limit
Counts
193 → 183
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
y
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#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
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#s(literal 2 binary64)
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(fma.f64 x (neg.f64 x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 (neg.f64 x) x #s(literal 2 binary64))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/360 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/360 binary64) #s(literal 1/12 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
y
(+.f64 y (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y) y)
(*.f64 y (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) y) (*.f64 #s(literal 1/24 binary64) y)))) (*.f64 #s(literal -1/2 binary64) y))))
(+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y #s(literal -5/24 binary64))) (*.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 y #s(literal -5/24 binary64)) (*.f64 y #s(literal 1/2 binary64))) y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (*.f64 y (+.f64 (*.f64 #s(literal -5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))) y)
(+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) y) (+.f64 (*.f64 #s(literal 1/48 binary64) y) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) y) (*.f64 #s(literal 1/24 binary64) y))))))) (+.f64 (*.f64 #s(literal -1/4 binary64) y) (*.f64 #s(literal 1/24 binary64) y)))) (*.f64 #s(literal -1/2 binary64) y))))
(+.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal -1/720 binary64) y (fma.f64 #s(literal 1/48 binary64) y (*.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -5/24 binary64)))))) (*.f64 y #s(literal -5/24 binary64))) (neg.f64 (*.f64 y #s(literal -1/2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 y #s(literal -5/48 binary64)) (*.f64 y #s(literal 7/360 binary64))) (*.f64 y #s(literal 5/24 binary64))) (*.f64 y #s(literal 1/2 binary64))) y)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y #s(literal 5/24 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal -61/720 binary64)))) (*.f64 y #s(literal 1/2 binary64))) y)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 y (/.f64 #s(literal 2 binary64) (/.f64 y (cos.f64 x))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 y (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 x) y)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 (cos.f64 x) y))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 x)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 #s(literal 2 binary64) y) (cos.f64 x)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) y))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 (cos.f64 x) y)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) y))))
(*.f64 (cbrt.f64 #s(literal 4 binary64)) (*.f64 (cbrt.f64 #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (cbrt.f64 #s(literal 4 binary64)) (*.f64 (cos.f64 x) (cbrt.f64 #s(literal 2 binary64))))
(*.f64 (cos.f64 x) (*.f64 (cbrt.f64 #s(literal 4 binary64)) (cbrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 y (cos.f64 x))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 (cos.f64 x) y)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (*.f64 y #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (cos.f64 x))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 (cos.f64 x) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) y) (cbrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 y (cos.f64 x)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (sqrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 y (cos.f64 x)))) (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 y (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 y (cos.f64 x))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) y) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) (/.f64 (cos.f64 x) y))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 y (cos.f64 x)))) (/.f64 y (sqrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (cbrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (cos.f64 x))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) y) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 y (cos.f64 x))))
(*.f64 (/.f64 (cos.f64 x) y) (*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (cos.f64 x))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (/.f64 y (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 y (cos.f64 x)))) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 (/.f64 y (cos.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) y)) (/.f64 y (cos.f64 x))))
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(-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64))

eval103.0ms (2.4%)

Compiler

Compiled 2655 to 1829 computations (31.1% saved)

prune33.0ms (0.8%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1821183
Fresh101
Picked145
Done033
Total1848192
Accuracy
100.0%
Counts
192 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
49.2%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 y (cos.f64 x))))
55.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (cos.f64 x) y)))
27.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) y)))
3.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))
5.5%
(*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
27.4%
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
49.2%
(cos.f64 x)
Compiler

Compiled 181 to 129 computations (28.7% saved)

regimes21.0ms (0.5%)

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

5 calls:

6.0ms
(cos.f64 x)
5.0ms
y
4.0ms
x
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
100.0%1(cos.f64 x)
100.0%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes19.0ms (0.4%)

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

5 calls:

5.0ms
y
4.0ms
x
3.0ms
(cos.f64 x)
2.0ms
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms
(/.f64 (sinh.f64 y) y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
100.0%1(cos.f64 x)
100.0%1(/.f64 (sinh.f64 y) y)
Compiler

Compiled 25 to 17 computations (32% saved)

regimes15.0ms (0.3%)

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

3 calls:

7.0ms
y
3.0ms
x
3.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
49.2%1x
52.4%2y
49.2%1(cos.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.1%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(cos.f64 x)
(*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
Outputs
(cos.f64 x)
(*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
52.0%2y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(cos.f64 x)
Outputs
(cos.f64 x)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
49.2%1y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total -15.4b remaining (-33.2%)

Threshold costs -15.4b (-33.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) y)))
Outputs
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
27.4%1x
27.4%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
4.098571942034802e+29
8.086738948027481e+29
Results
9.0ms64×0valid
Compiler

Compiled 74 to 62 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-cos: 2.0ms (71% of total)
ival-div: 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-sinh: 0.0ms (0% of total)

bsearch4.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
3.0ms
8.086738948027481e+29
9.048663963258846e+29
Results
2.0ms32×0valid
Compiler

Compiled 42 to 34 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-cos: 1.0ms (69.3% of total)
ival-div: 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-sinh: 0.0ms (0% of total)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative
sub-neg
+-commutative
1-exp
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032151
146151
255151
361151
464151
565151
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 450000000000000023021830012928 binary64)) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal 900000000000000046043660025856 binary64)) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(cos.f64 x)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
Outputs
(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 y #s(literal 450000000000000023021830012928 binary64)) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal 900000000000000046043660025856 binary64)) (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(if (<=.f64 y #s(literal 900000000000000046043660025856 binary64)) (cos.f64 x) (*.f64 (neg.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(if (<=.f64 y #s(literal 900000000000000046043660025856 binary64)) (cos.f64 x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 #s(literal 1/2 binary64))))
(cos.f64 x)
(*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
#s(literal 1 binary64)

soundness432.0ms (10%)

Rules
914×times-frac
857×fma-define
738×fma-define
669×log1p-expm1-u
669×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02483556
15743476
219073237
01238
113538
2176738
01071011
1224995
2676905
34114887
03884167
18804058
226654023
Stop Event
fuel
node limit
node limit
node limit
node limit
Compiler

Compiled 167 to 104 computations (37.7% saved)

preprocess104.0ms (2.4%)

Remove

(abs y)

(abs x)

Compiler

Compiled 250 to 160 computations (36% saved)

end0.0ms (0%)

Profiling

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