ENA, Section 1.4, Mentioned, A

Time bar (total: 3.1s)

analyze3.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.6%50.4%0%0%0%0
0%0%49.6%50.4%0%0%0%1
0%0%49.6%50.4%0%0%0%2
50%24.8%24.8%50.4%0%0%0%3
75%37.2%12.4%50.4%0%0%0%4
87.5%43.4%6.2%50.4%0%0%0%5
93.8%46.5%3.1%50.4%0%0%0%6
96.9%48.1%1.6%50.4%0%0%0%7
98.4%48.8%0.8%50.4%0%0%0%8
99.2%49.2%0.4%50.4%0%0%0%9
99.6%49.4%0.2%50.4%0%0%0%10
99.8%49.5%0.1%50.4%0%0%0%11
99.9%49.6%0%50.4%0%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-and: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-<=: 0.0ms (0% of total)

sample1.7s (54.1%)

Results
1.2s8154×1valid
6.0ms101×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 869.0ms
ival-cos: 308.0ms (35.5% of total)
backward-pass: 202.0ms (23.3% of total)
ival-<=: 172.0ms (19.8% of total)
ival-sub: 139.0ms (16% of total)
const: 29.0ms (3.3% of total)
ival-and: 18.0ms (2.1% of total)
Bogosity

preprocess43.0ms (1.4%)

Algorithm
egg-herbie
Rules
16×fma-neg
11×fma-define
sub-neg
associate--r+
associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01360
12556
24456
36656
410656
513156
614156
714356
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x)))
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))))
Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))))
(neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 #s(literal -1 binary64) (cos.f64 x))
(+.f64 (cos.f64 x) #s(literal -1 binary64))
Symmetry

(abs x)

explain192.0ms (6.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1300-0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-x
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
Results
109.0ms268×2048valid
45.0ms136×1024valid
6.0ms62×512valid
2.0ms46×256valid
Compiler

Compiled 25 to 16 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
ival-cos: 78.0ms (79.3% of total)
ival-sub: 18.0ms (18.3% of total)
const: 3.0ms (3.1% of total)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Compiler

Compiled 5 to 4 computations (20% saved)

localize93.0ms (3%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
53.3%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Results
54.0ms134×2048valid
26.0ms68×1024valid
3.0ms31×512valid
1.0ms23×256valid
Compiler

Compiled 10 to 6 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-cos: 42.0ms (86.5% of total)
ival-sub: 5.0ms (10.3% of total)
const: 1.0ms (2.1% of total)

series1.0ms (0%)

Counts
1 → 4
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(- 1 (cos x))
0.0ms
x
@-inf
(- 1 (cos x))
0.0ms
x
@inf
(- 1 (cos x))

rewrite192.0ms (6.3%)

Algorithm
batch-egg-rewrite
Rules
361×log1p-expm1-u
361×expm1-log1p-u
344×add-exp-log
330×add-log-exp
329×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
18214
295414
Stop Event
node limit
Counts
1 → 61
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Outputs
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))

simplify74.0ms (2.4%)

Algorithm
egg-herbie
Rules
454×unswap-sqr
427×associate-*r*
402×fma-neg
382×associate-*l*
350×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01852109
13731995
210181941
346161913
Stop Event
node limit
Counts
65 → 83
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.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 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.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)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) (fma.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (log.f64 (E.f64)) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (log.f64 (E.f64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cos.f64 x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (E.f64) (log1p.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x))))) (sqrt.f64 (log1p.f64 (neg.f64 (cos.f64 x)))))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

eval26.0ms (0.9%)

Compiler

Compiled 1010 to 673 computations (33.4% saved)

prune12.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New80383
Fresh000
Picked011
Done000
Total80484
Accuracy
100.0%
Counts
84 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
100.0%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
99.8%
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 31 to 25 computations (19.4% saved)

localize168.0ms (5.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Results
142.0ms256×256valid
Compiler

Compiled 61 to 45 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-div: 73.0ms (60.6% of total)
ival-pow: 26.0ms (21.6% of total)
ival-mult: 10.0ms (8.3% of total)
ival-tan: 4.0ms (3.3% of total)
ival-add: 3.0ms (2.5% of total)
const: 3.0ms (2.5% of total)
ival-sin: 2.0ms (1.7% of total)

series63.0ms (2.1%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* (sin x) (tan (/ x 2)))
1.0ms
x
@-inf
(* (sin x) (tan (/ x 2)))
1.0ms
x
@inf
(* (pow x 2) -1/24)
1.0ms
x
@0
(* (sin x) (tan (/ x 2)))
1.0ms
x
@0
(* (pow x 2) -1/24)

rewrite83.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
646×log1p-expm1-u
646×expm1-log1p-u
616×unpow-prod-down
373×log-prod
232×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01443
115843
2182743
Stop Event
node limit
Counts
2 → 44
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/24 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/24 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal -1/24 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/24 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify128.0ms (4.2%)

Algorithm
egg-herbie
Rules
838×fma-define
757×fma-neg
463×prod-exp
332×distribute-lft-in
311×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01511906
12751890
25971890
316401890
440921890
557431890
679231890
Stop Event
node limit
Counts
68 → 68
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/24 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/24 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal -1/24 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/24 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.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 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.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 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.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)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #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 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 x) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/24 binary64))) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/24 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/24 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal -1/24 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal -1/24 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))

eval17.0ms (0.5%)

Compiler

Compiled 925 to 725 computations (21.6% saved)

prune9.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New68068
Fresh000
Picked033
Done011
Total68472
Accuracy
100.0%
Counts
72 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
100.0%
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
99.8%
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
Compiler

Compiled 59 to 47 computations (20.3% saved)

regimes3.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
Outputs
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
Calls

3 calls:

2.0ms
x
1.0ms
(cos.f64 x)
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
100.0%1(cos.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
Calls

3 calls:

3.0ms
x
1.0ms
(cos.f64 x)
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
100.0%1(cos.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

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

3 calls:

1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.8%1(cos.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Calls

3 calls:

0.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
0.0ms
x
0.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
53.3%1x
53.3%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
53.3%1(cos.f64 x)
Compiler

Compiled 10 to 7 computations (30% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02194
13394
23794
33994
44094
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Outputs
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))

soundness228.0ms (7.4%)

Rules
454×unswap-sqr
427×associate-*r*
402×fma-neg
382×associate-*l*
361×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01852109
13731995
210181941
346161913
0914
18214
295414
Stop Event
done
node limit
node limit
Compiler

Compiled 182 to 117 computations (35.7% saved)

preprocess56.0ms (1.8%)

Remove

(abs x)

Compiler

Compiled 160 to 126 computations (21.3% saved)

end0.0ms (0%)

Profiling

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