tanhf (example 3.4)

Time bar (total: 5.2s)

analyze148.0ms (2.8%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-sub: 15.0ms (29.6% of total)
ival-cos: 14.0ms (27.6% of total)
ival-sin: 13.0ms (25.7% of total)
ival-div: 6.0ms (11.8% of total)
const: 2.0ms (3.9% of total)
backward-pass: 1.0ms (2% of total)

sample2.0s (37.3%)

Results
463.0ms4275×0valid
910.0ms2035×2valid
290.0ms1942×1valid
3.0ms3valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-cos: 831.0ms (59.9% of total)
ival-sin: 208.0ms (15% of total)
ival-sub: 155.0ms (11.2% of total)
ival-div: 103.0ms (7.4% of total)
backward-pass: 76.0ms (5.5% of total)
const: 15.0ms (1.1% of total)
Bogosity

preprocess57.0ms (1.1%)

Algorithm
egg-herbie
Rules
199×fma-define
83×fma-neg
47×times-frac
47×div-sub
37×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01760
14660
28556
319156
447056
581556
698156
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))
(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
Symmetry

(negabs x)

explain218.0ms (4.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-3(6.6193773767095946e-161)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
681(5.1127998467799893e+132)1(9.451348781451907e+216)(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-x
00-0-(sin.f64 x)
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
Results
40.0ms248×0valid
69.0ms136×2valid
75.0ms126×1valid
2.0ms3valid
Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-cos: 61.0ms (59% of total)
ival-sin: 23.0ms (22.3% of total)
backward-pass: 7.0ms (6.8% of total)
ival-div: 6.0ms (5.8% of total)
ival-sub: 6.0ms (5.8% of total)
const: 1.0ms (1% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Compiler

Compiled 5 to 4 computations (20% saved)

localize32.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x #s(literal 2 binary64))
cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
accuracy100.0%
(/.f64 x #s(literal 2 binary64))
accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
Stop Event
saturated
Calls
Call 1
Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Results
14.0ms256×0valid
Compiler

Compiled 11 to 5 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-tan: 5.0ms (68.6% of total)
ival-div: 2.0ms (27.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series14.0ms (0.3%)

Counts
2 → 24
Calls
Call 1
Inputs
#<alt (tan.f64 (/.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 x #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@0
(tan (/ x 2))
1.0ms
x
@inf
(tan (/ x 2))
1.0ms
x
@inf
(/ x 2)
1.0ms
x
@-inf
(tan (/ x 2))
0.0ms
x
@-inf
(/ x 2)

rewrite330.0ms (6.3%)

Algorithm
batch-egg-rewrite
Rules
549×frac-times
314×log1p-expm1-u
314×expm1-log1p-u
304×add-exp-log
295×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
17624
287424
Stop Event
node limit
Counts
2 → 102
Calls
Call 1
Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 (E.f64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 5 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (sin.f64 (+.f64 #s(literal 1 binary64) x)) (sin.f64 #s(literal 1 binary64))) (+.f64 (cos.f64 (+.f64 #s(literal 1 binary64) x)) (cos.f64 #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 5/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 5 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))

simplify120.0ms (2.3%)

Algorithm
egg-herbie
Rules
604×fma-define
578×prod-exp
252×exp-prod
213×*-commutative
207×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02823032
14852937
212322907
335362907
469782907
Stop Event
node limit
Counts
126 → 148
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (log.f64 (E.f64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 5 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (sin.f64 (+.f64 #s(literal 1 binary64) x)) (sin.f64 #s(literal 1 binary64))) (+.f64 (cos.f64 (+.f64 #s(literal 1 binary64) x)) (cos.f64 #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (exp.f64 x) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 x (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 x (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 x (exp.f64 (log.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) #s(literal 1/3 binary64)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 5/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 5 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64))))))))
(*.f64 x (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 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(/.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) x)) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 5/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 5/2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 5 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5 binary64))))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(log.f64 (sqrt.f64 (exp.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)

eval24.0ms (0.5%)

Compiler

Compiled 1602 to 494 computations (69.2% saved)

prune18.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1453148
Fresh000
Picked011
Done000
Total1454149
Accuracy
100.0%
Counts
149 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
68.4%
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
53.3%
(*.f64 #s(literal 1/2 binary64) x)
100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Compiler

Compiled 43 to 27 computations (37.2% saved)

localize244.0ms (4.7%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
cost-diff0
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
cost-diff0
(pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
cost-diff64
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
cost-diff64
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy100.0%
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy99.8%
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
accuracy99.4%
(pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
accuracy99.1%
(cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy99.0%
(cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
accuracy68.7%
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
Rules
11×associate-*r*
associate-*l*
*-commutative
1-exp
associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023403
134403
249397
363397
473397
573397
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 1 binary64)
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
Results
192.0ms255×0valid
8.0ms5exit
Compiler

Compiled 120 to 19 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 36.0ms (43.5% of total)
ival-tan: 13.0ms (15.7% of total)
ival-pow: 12.0ms (14.5% of total)
ival-sin: 8.0ms (9.7% of total)
ival-cos: 6.0ms (7.2% of total)
ival-cbrt: 4.0ms (4.8% of total)
ival-div: 3.0ms (3.6% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series302.0ms (5.8%)

Counts
12 → 132
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64))>
#<alt (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))>
#<alt (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))>
#<alt (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))>
#<alt (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))>
#<alt (cos.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (sin.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))>
#<alt (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
Outputs
#<alt (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 #s(literal 2/27 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))))))>
#<alt (+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 103/14580 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))))) (*.f64 #s(literal 2/27 binary64) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))))))))>
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#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (cbrt.f64 #s(literal 1/16 binary64)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/16 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/16 binary64)))))>
#<alt (*.f64 x (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/640 binary64) (*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/16 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/144 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/16 binary64)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 x (+.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/144 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/16 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/20736 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/16 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/640 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal 1/16 binary64)) #s(literal 2 binary64)))))))))))>
#<alt (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64))))>
#<alt (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64))))>
#<alt (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64))))>
#<alt (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64))))>
#<alt (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64))))>
#<alt (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64))))>
#<alt (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64))))>
#<alt (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
Calls

36 calls:

TimeVariablePointExpression
93.0ms
x
@inf
(cbrt (cbrt (tan (* x 1/2))))
41.0ms
x
@-inf
(cbrt (cbrt (tan (* x 1/2))))
38.0ms
x
@inf
(pow (pow (* (tan (* x 1/2)) (cbrt (tan (* x 1/2)))) 2) 1/3)
35.0ms
x
@0
(* (tan (* x 1/2)) (cbrt (tan (* x 1/2))))
32.0ms
x
@-inf
(pow (pow (* (tan (* x 1/2)) (cbrt (tan (* x 1/2)))) 2) 1/3)

rewrite219.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
986×log1p-expm1-u
986×expm1-log1p-u
596×log-prod
184×expm1-undefine
184×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023287
1306242
23474242
Stop Event
node limit
Counts
12 → 342
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 x #s(literal 1/2 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/6 binary64)) #s(literal 1/3 binary64)))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))

simplify252.0ms (4.8%)

Algorithm
egg-herbie
Rules
539×associate-*r*
475×associate-*l*
338×fma-define
308×*-commutative
252×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
084881604394891
1169881604393961
2611881604393949
Stop Event
node limit
Counts
474 → 512
Calls
Call 1
Inputs
(exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 #s(literal 2/27 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 103/14580 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))))) (*.f64 #s(literal 2/27 binary64) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/27 binary64) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 5717/8266860 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))))) (*.f64 #s(literal 103/14580 binary64) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))))))))))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))) (*.f64 #s(literal 1/108 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 17/29160 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))))) (*.f64 #s(literal 1/108 binary64) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))))))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
Outputs
(exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (fma.f64 #s(literal 8 binary64) (log.f64 x) (log.f64 #s(literal 1/256 binary64))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 #s(literal 2/27 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))) (*.f64 #s(literal 2/27 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (*.f64 #s(literal 2/27 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (fma.f64 #s(literal 8 binary64) (log.f64 x) (log.f64 #s(literal 1/256 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 103/14580 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))))) (*.f64 #s(literal 2/27 binary64) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 103/14580 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))) #s(literal 2/27 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (fma.f64 #s(literal 8 binary64) (log.f64 x) (log.f64 #s(literal 1/256 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 103/14580 binary64)) #s(literal 2/27 binary64))) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (fma.f64 #s(literal 8 binary64) (log.f64 x) (log.f64 #s(literal 1/256 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2/27 binary64) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 5717/8266860 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x))))))) (*.f64 #s(literal 103/14580 binary64) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))))))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2/27 binary64) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5717/8266860 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))) (pow.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 #s(literal 1/256 binary64)) (*.f64 #s(literal 8 binary64) (log.f64 x)))) #s(literal 103/14580 binary64)))))))
(+.f64 (*.f64 (+.f64 (*.f64 #s(literal 2/27 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (fma.f64 #s(literal 8 binary64) (log.f64 x) (log.f64 #s(literal 1/256 binary64))))) (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (fma.f64 #s(literal 8 binary64) (log.f64 x) (log.f64 #s(literal 1/256 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 5717/8266860 binary64)) #s(literal 103/14580 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8 binary64))) #s(literal 1/9 binary64))
(exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))))
(pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))) (*.f64 #s(literal 1/108 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/108 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))))
(*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/108 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 17/29160 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))))) (*.f64 #s(literal 1/108 binary64) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 17/29160 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) #s(literal 1/108 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/29160 binary64)) #s(literal 1/108 binary64))) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/108 binary64) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 5701/132269760 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))))) (*.f64 #s(literal 17/29160 binary64) (exp.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))))))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/108 binary64) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 5701/132269760 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/9 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))) #s(literal 17/29160 binary64)))))))
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(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(cbrt.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))))
(/.f64 (*.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(fabs.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(cbrt.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(exp.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(*.f64 x #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 x #s(literal 1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 x #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x #s(literal 1/2 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 x #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/2 binary64))

eval348.0ms (6.6%)

Compiler

Compiled 13632 to 2241 computations (83.6% saved)

prune120.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New5662568
Fresh000
Picked123
Done011
Total5675572
Accuracy
100.0%
Counts
572 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
53.3%
(*.f64 #s(literal 1/2 binary64) x)
100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Compiler

Compiled 46 to 30 computations (34.8% saved)

localize71.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
cost-diff25920
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
accuracy99.8%
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
accuracy99.8%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
accuracy99.6%
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
accuracy99.6%
(cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
Rules
1-exp
associate-/r*
*-commutative
associate-*r*
associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018221
128188
235188
336188
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
#s(literal 2 binary64)
Results
41.0ms255×0valid
4.0ms5exit
Compiler

Compiled 69 to 14 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 7.0ms (25.4% of total)
ival-cos: 7.0ms (25.4% of total)
ival-sin: 6.0ms (21.8% of total)
ival-pow: 3.0ms (10.9% of total)
ival-cbrt: 2.0ms (7.3% of total)
ival-mult: 2.0ms (7.3% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.4%)

Counts
7 → 56
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))>
#<alt (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (sin.f64 (*.f64 #s(literal 1/2 binary64) x))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1152 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -23/414720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/1152 binary64))) #s(literal 1/24 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/25920 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/12 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/435456 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/25920 binary64))) #s(literal 1/12 binary64))))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 23/11520 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 23/11520 binary64) (*.f64 #s(literal 1069/5806080 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 binary64)))))>
#<alt (*.f64 x (+.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 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))>
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/ (sin (* 1/2 x)) (pow (cbrt (cos (* 1/2 x))) 2))
2.0ms
x
@-inf
(/ (sin (* 1/2 x)) (pow (cbrt (cos (* 1/2 x))) 2))
2.0ms
x
@inf
(pow (cbrt (cos (* 1/2 x))) 2)
2.0ms
x
@-inf
(pow (cbrt (cos (* 1/2 x))) 2)
2.0ms
x
@inf
(cbrt (cos (* 1/2 x)))

rewrite267.0ms (5.1%)

Algorithm
batch-egg-rewrite
Rules
1002×log1p-expm1-u
1002×expm1-log1p-u
387×prod-diff
170×expm1-undefine
170×log1p-undefine
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018185
1239152
22939133
Stop Event
node limit
Counts
7 → 207
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) x))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) x)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) x))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
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(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify249.0ms (4.7%)

Algorithm
egg-herbie
Rules
806×fma-define
629×fma-neg
301×distribute-lft-neg-in
285×distribute-rgt-neg-in
258×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05068979
110348791
235858113
376858113
Stop Event
node limit
Counts
263 → 312
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1152 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -23/414720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/1152 binary64))) #s(literal 1/24 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/25920 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/435456 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/25920 binary64))) #s(literal 1/12 binary64))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 23/11520 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 23/11520 binary64) (*.f64 #s(literal 1069/5806080 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(*.f64 x (+.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 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 (cbrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
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(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4 binary64)))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (neg.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/1152 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/1152 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/1152 binary64) #s(literal -1/24 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -23/414720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/1152 binary64))) #s(literal 1/24 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -23/414720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/1152 binary64)) #s(literal -1/24 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 -23/414720 binary64) #s(literal -1/1152 binary64)) #s(literal -1/24 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/12 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/25920 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/25920 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/12 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/25920 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/12 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -1/435456 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/25920 binary64))) #s(literal 1/12 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/435456 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/25920 binary64)) #s(literal -1/12 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/435456 binary64) #s(literal -1/25920 binary64)) #s(literal -1/12 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/435456 binary64) #s(literal -1/25920 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/12 binary64)) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/48 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/48 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 #s(literal 23/11520 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 23/11520 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 23/11520 binary64) #s(literal 1/48 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 23/11520 binary64) (*.f64 #s(literal 1069/5806080 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 23/11520 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1069/5806080 binary64))))))))
(*.f64 x (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 1069/5806080 binary64) #s(literal 23/11520 binary64)) #s(literal 1/48 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
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(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(log.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal 3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -2 binary64))) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(log.f64 (exp.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))

eval55.0ms (1.1%)

Compiler

Compiled 8069 to 1312 computations (83.7% saved)

prune52.0ms (1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New4090409
Fresh000
Picked022
Done033
Total4095414
Accuracy
100.0%
Counts
414 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
52.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
53.3%
(*.f64 #s(literal 1/2 binary64) x)
100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Compiler

Compiled 116 to 62 computations (46.6% saved)

regimes6.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Calls

2 calls:

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

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Accuracy

Total -0.3b remaining (-1%)

Threshold costs -0.3b (-1%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
53.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
11224
Stop Event
saturated
Calls
Call 1
Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

soundness75.0ms (1.4%)

Rules
199×fma-define
83×fma-neg
47×times-frac
47×div-sub
37×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01760
14660
28556
319156
447056
581556
698156
Stop Event
done
saturated
Compiler

Compiled 20 to 15 computations (25% saved)

preprocess43.0ms (0.8%)

Remove

(negabs x)

Compiler

Compiled 72 to 56 computations (22.2% saved)

end0.0ms (0%)

Profiling

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