VandenBroeck and Keller, Equation (20)

Time bar (total: 29.8s)

analyze430.0ms (1.4%)

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
25%25%75%0%0%0%0%4
25%25%75%0%0%0%0%5
29%28.1%68.7%0%0%3.1%0%6
29%28.1%68.7%0%0%3.1%0%7
29%28.1%68.7%0%0%3.1%0%8
29.1%28.1%68.3%0%0%3.5%0%9
29.2%28.1%68.1%0%0%3.7%0%10
29.2%28.1%68%0%0%3.8%0%11
29.2%28.1%68%0%0%3.8%0%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample17.6s (59.2%)

Results
8.0s7805×body8192exit
2.6s3968×body1024valid
2.3s3948×body1024invalid
1.5s7789×body256unsamplable
873.0ms483×body2048valid
848.0ms2065×body512valid
735.0ms1944×body512invalid
470.0ms1740×body256valid
209.0ms1000×body256invalid
4.0msbody2048invalid
Bogosity

preprocess1.4s (4.7%)

Algorithm
egg-herbie
Rules
1436×times-frac
1336×fma-def
954×associate-/r*
602×associate-*r/
586×associate-/l*
FPErrors
Click to see full error table
truthmispredictedsubexpr
247×248(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
0(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
9(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
0No Errors
0(*.f64 (/.f64 (PI.f64) 4) f)
0(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
0(PI.f64)
0(/.f64 (PI.f64) 4)
0(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
0(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
0(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
0(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
0f
0(/.f64 1 (/.f64 (PI.f64) 4))
04
01
0(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031397
191363
2240327
3720327
42345327
Stop Event
node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) -4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 -1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 434 to 320 computations (26.3% saved)

eval6.0ms (0%)

Compiler

Compiled 169 to 114 computations (32.5% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
Compiler

Compiled 76 to 60 computations (21.1% saved)

localize659.0ms (2.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
98.9%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
97.4%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
10.4%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 198 to 145 computations (26.8% saved)

series79.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
35.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
34.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
2.0ms
f
@0
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
2.0ms
f
@0
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
1.0ms
f
@0
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))

rewrite42.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
404×add-sqr-sqrt
394×pow1
394×*-un-lft-identity
382×add-exp-log
380×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019100
1412100
26827100
Stop Event
unsound
Counts
4 → 104
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
Outputs
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
f

simplify114.0ms (0.4%)

Algorithm
egg-herbie
Rules
1738×fma-def
1344×times-frac
820×distribute-lft-in
814×distribute-rgt-in
800×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01624606
14724226
218763890
Stop Event
node limit
Counts
152 → 86
Calls
Call 1
Inputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
Outputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 (PI.f64) (*.f64 f 1/2))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 f (*.f64 (PI.f64) 1/2) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))
(+.f64 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (+.f64 (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (*.f64 (pow.f64 f 7) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))
(*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))) (*.f64 2 (/.f64 1 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0) (fma.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) (PI.f64)))
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(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) (PI.f64)))
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144
-64
-16
-4
-2
-1
-1/2
-1/4
0
1/64
1/16
1/4
1/2
1
3/2
2
3
4
5
8
9
16
27
64
256
4096
262144

eval93.0ms (0.3%)

Compiler

Compiled 3901 to 2956 computations (24.2% saved)

prune88.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New77986
Fresh000
Picked101
Done000
Total78987
Accuracy
96.8%
Counts
87 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) 4) (PI.f64)))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))))
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
5.4%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
96.4%
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) 4) (PI.f64)))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))))
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
5.4%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
Compiler

Compiled 1016 to 812 computations (20.1% saved)

localize2.6s (8.7%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))))
98.9%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))
97.4%
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))
10.4%
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
99.6%
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))
98.9%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
97.4%
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
10.4%
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
100.0%
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
99.7%
(*.f64 (/.f64 (PI.f64) 4) f)
98.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
97.7%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))
99.6%
(log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))
99.5%
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
99.4%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
99.7%
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
99.6%
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) 4) (PI.f64))
96.9%
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
Compiler

Compiled 688 to 459 computations (33.3% saved)

series399.0ms (1.3%)

Counts
18 → 196
Calls

51 calls:

TimeVariablePointExpression
92.0ms
f
@inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
65.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))
43.0ms
f
@0
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) 4) (PI.f64))
23.0ms
f
@-inf
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
22.0ms
f
@-inf
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))

rewrite169.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1050×add-sqr-sqrt
1028×pow1
1000×add-exp-log
986×add-log-exp
976×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053906
11167906
Stop Event
node limit
Counts
18 → 168
Calls
Call 1
Inputs
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) 4) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144)))
(*.f64 (/.f64 (PI.f64) 4) f)
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))))
Outputs
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(*.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 4) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(*.f64 1 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (+.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) 1)
(log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(*.f64 1 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))
(*.f64 (/.f64 2 f) (/.f64 1 (*.f64 (PI.f64) 1/2)))
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(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))

simplify253.0ms (0.8%)

Algorithm
egg-herbie
Rules
906×associate-*r*
804×associate-*l*
722×fma-def
624×log-prod
490×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059924916
1152219894
2703219830
Stop Event
node limit
Counts
364 → 362
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
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(*.f64 1/4 (*.f64 f (PI.f64)))
1
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(exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))
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(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (PI.f64))))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))
(*.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) 3)) (+.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (+.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))) (*.f64 (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))) (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 1)
(log.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))) 1)
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))) (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
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(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))
(-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))
(*.f64 1 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
(*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (/.f64 1 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))) (cbrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (sqrt.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
(pow.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))) 1)
(/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))) (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(cbrt.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))) (*.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))) (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
(exp.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
(-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)))
(*.f64 1 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))) (cbrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)))
(pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) 1)
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(cbrt.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)))
(exp.f64 (log.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64)))
(pow.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4)) 1)
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64)))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (PI.f64) 1/4))
(*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64)))

eval356.0ms (1.2%)

Compiler

Compiled 16656 to 11977 computations (28.1% saved)

prune208.0ms (0.7%)

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New39828426
Fresh224
Picked415
Done000
Total40431435
Accuracy
97.0%
Counts
435 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) 4) (PI.f64)))
96.4%
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
96.0%
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (PI.f64)))
94.5%
(neg.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64)))
95.5%
(neg.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)) 4) (PI.f64)))
1.6%
(neg.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/262144)) (*.f64 (PI.f64) 1/4)))
1.6%
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))) (*.f64 (PI.f64) 1/4)))
1.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
95.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
5.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 262144))))
5.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) 1) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
94.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))))
95.4%
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
96.3%
(neg.f64 (*.f64 4 (fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/2 (/.f64 f (/.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))))
96.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
5.4%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (/.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (*.f64 (PI.f64) 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))) (PI.f64))))
5.4%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
96.0%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
5.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))))
96.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (fma.f64 f (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (/.f64 (/.f64 4 f) (PI.f64))) 0)) (PI.f64))))
94.6%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
94.6%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
0.1%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
95.3%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
5.3%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))) 3)))
95.4%
(neg.f64 (cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))))
96.0%
(neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) 4) (PI.f64)))
96.4%
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
96.0%
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (PI.f64)))
94.5%
(neg.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64)))
95.5%
(neg.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)) 4) (PI.f64)))
1.6%
(neg.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/262144)) (*.f64 (PI.f64) 1/4)))
1.6%
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))) (*.f64 (PI.f64) 1/4)))
1.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
95.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
96.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
5.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 262144))))
5.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) 1) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
94.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))))
95.4%
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
96.3%
(neg.f64 (*.f64 4 (fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/2 (/.f64 f (/.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))))
96.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
5.4%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (/.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (*.f64 (PI.f64) 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))) (PI.f64))))
5.4%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
96.0%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
5.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))))
96.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (fma.f64 f (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (/.f64 (/.f64 4 f) (PI.f64))) 0)) (PI.f64))))
94.6%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
94.6%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
0.1%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
95.3%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
5.3%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))) 3)))
95.4%
(neg.f64 (cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))))
Compiler

Compiled 3012 to 2438 computations (19.1% saved)

localize956.0ms (3.2%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
100.0%
(cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))
99.2%
(log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)))
97.7%
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
6.2%
(PI.f64)
100.0%
(cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))
99.9%
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/262144)) (*.f64 (PI.f64) 1/4))))
97.7%
(log.f64 (*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/262144))
6.2%
(PI.f64)
100.0%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
100.0%
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)
100.0%
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))
6.2%
(PI.f64)
6.2%
(PI.f64)
100.0%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
100.0%
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64))
99.9%
(log.f64 (/.f64 4 (PI.f64)))
6.2%
(PI.f64)
Compiler

Compiled 461 to 318 computations (31% saved)

series299.0ms (1%)

Counts
17 → 128
Calls

33 calls:

TimeVariablePointExpression
169.0ms
f
@-inf
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
26.0ms
f
@inf
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
25.0ms
f
@-inf
(log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)))
21.0ms
f
@inf
(log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)))
20.0ms
f
@-inf
(log.f64 (*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/262144))

rewrite190.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
902×add-sqr-sqrt
890×pow1
876×*-un-lft-identity
870×add-exp-log
856×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046457
11002457
Stop Event
node limit
Counts
17 → 178
Calls
Call 1
Inputs
(PI.f64)
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(PI.f64)
(PI.f64)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(PI.f64)
(log.f64 (*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/262144))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/262144)) (*.f64 (PI.f64) 1/4))))
(cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))
(PI.f64)
(/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))
(log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2)))
(cosh.f64 (/.f64 (PI.f64) (/.f64 4 f)))
Outputs
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (log.f64 (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4)) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(+.f64 (fma.f64 1 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))) (*.f64 (cbrt.f64 (log.f64 f)) (*.f64 (cbrt.f64 (log.f64 f)) (cbrt.f64 (log.f64 f))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(*.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (+.f64 (*.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))
(*.f64 1 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) 1/3)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 1 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)) (sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3))
(*.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/2) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3/2))
(log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)) (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(exp.f64 (log.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) 1/3)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (log.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (log.f64 1/262144))
(*.f64 1 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144)))) (cbrt.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))))) (cbrt.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144)))) (sqrt.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144)))))
(pow.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144)))) (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144)))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144)))))
(exp.f64 (log.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144)))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144)))))
(*.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (/.f64 1 (*.f64 (PI.f64) 1/4)))
(*.f64 1 (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4))) (cbrt.f64 (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4)))) (cbrt.f64 (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4))))
(/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4))
(/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144)))))
(/.f64 (neg.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144)))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (PI.f64)) 1/4)
(pow.f64 (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4))) (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1/262144))) (*.f64 (PI.f64) 1/4))))
(*.f64 1 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))
(*.f64 (*.f64 (cbrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (cbrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (cbrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(*.f64 (sqrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (sqrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) 2)
(pow.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1)
(log.f64 (exp.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(expm1.f64 (log1p.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(exp.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(log1p.f64 (expm1.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(*.f64 1 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (/.f64 1 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) 1/2)))
(*.f64 1 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) (cbrt.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))) (cbrt.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) (sqrt.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)
(pow.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2) (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(exp.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (log.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) 1/2)))
(*.f64 1 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))) (cbrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))) (cbrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(pow.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))) (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(*.f64 1 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))
(*.f64 (*.f64 (cbrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (cbrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (cbrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(*.f64 (sqrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (sqrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) 2)
(pow.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1)
(log.f64 (exp.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(expm1.f64 (log1p.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(exp.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(log1p.f64 (expm1.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))

simplify247.0ms (0.8%)

Algorithm
egg-herbie
Rules
962×associate-*r*
946×associate-*l*
876×log-prod
804×fma-neg
778×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051315436
1130813922
2636613890
Stop Event
node limit
Counts
306 → 264
Calls
Call 1
Inputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
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(*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (/.f64 1 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) 1/2)))
(*.f64 1 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) (cbrt.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))) (cbrt.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) (sqrt.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)
(pow.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2) (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(exp.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (log.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) 1/2)))
(*.f64 1 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))) (cbrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))) (cbrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(pow.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))) (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(*.f64 1 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))
(*.f64 (*.f64 (cbrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (cbrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (cbrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(*.f64 (sqrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (sqrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) 2)
(pow.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1)
(log.f64 (exp.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(cbrt.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(expm1.f64 (log1p.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(exp.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(log1p.f64 (expm1.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
Outputs
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (PI.f64))
(/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (cbrt.f64 64) (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (PI.f64))
(/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (cbrt.f64 64) (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (PI.f64))
(/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (cbrt.f64 64) (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (PI.f64))
(/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (cbrt.f64 64) (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (cbrt.f64 64) (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (cbrt.f64 64) (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (cbrt.f64 64) (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 (cbrt.f64 64) (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))))
(*.f64 (/.f64 (cbrt.f64 64) (PI.f64)) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))))
(*.f64 (/.f64 (cbrt.f64 64) (PI.f64)) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64))))))
(*.f64 (/.f64 (cbrt.f64 64) (PI.f64)) (+.f64 (log.f64 (/.f64 -1 f)) (log.f64 (/.f64 -4 (PI.f64)))))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
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(log.f64 (exp.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2) (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(cbrt.f64 (*.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))) (*.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))) (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) 4)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))) 3))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))
(/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))
(*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (log.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))) 1/2)))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(*.f64 1 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))) (cbrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)))) (cbrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(pow.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) 1)
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2)) (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))) (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(cbrt.f64 (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (*.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))) (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))) 3))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(log1p.f64 (expm1.f64 (log.f64 (*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))) 2))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (log.f64 (*.f64 1/2 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) 1/4) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(log.f64 (*.f64 2 (/.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4)) (pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))))))
(*.f64 1 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))
(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(*.f64 (*.f64 (cbrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (cbrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) (cbrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(*.f64 (sqrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (sqrt.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)))) 2)
(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(pow.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) 1)
(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(log.f64 (exp.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(cbrt.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4)) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(cbrt.f64 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(cbrt.f64 (pow.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 3))
(expm1.f64 (log1p.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(exp.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))
(log1p.f64 (expm1.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))
(cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))

eval218.0ms (0.7%)

Compiler

Compiled 11154 to 8129 computations (27.1% saved)

prune136.0ms (0.5%)

Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New34915364
Fresh131225
Picked235
Done011
Total36431395
Accuracy
97.0%
Counts
395 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) 1/3))
95.5%
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
96.4%
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
96.0%
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
94.5%
(neg.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 4) (PI.f64)))
94.5%
(neg.f64 (/.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 4) (PI.f64)))
95.8%
(neg.f64 (/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
1.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
95.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
5.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 262144))))
5.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) 1) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
94.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))))
96.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
5.4%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
96.0%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
5.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))))
5.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))))
96.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (fma.f64 f (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (/.f64 (/.f64 4 f) (PI.f64))) 0)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
94.6%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4)))))
94.6%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4)))))
0.1%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (+.f64 1 (*.f64 (*.f64 1/32 (*.f64 f f)) (pow.f64 (PI.f64) 2)))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
0.1%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))))
5.3%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))) 3)))
95.4%
(neg.f64 (cbrt.f64 (*.f64 64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))
95.4%
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))))
94.3%
(neg.f64 (cbrt.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))))
94.2%
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) 1/3))
95.5%
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
96.4%
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
96.0%
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
94.5%
(neg.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 4) (PI.f64)))
94.5%
(neg.f64 (/.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 4) (PI.f64)))
95.8%
(neg.f64 (/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
1.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
95.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
5.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
1.6%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 262144))))
5.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) 1) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
94.5%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))))
96.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
5.4%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
96.0%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
5.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))))
5.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))))
96.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (fma.f64 f (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (/.f64 (/.f64 4 f) (PI.f64))) 0)) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
94.6%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4)))))
94.6%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4)))))
0.1%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (+.f64 1 (*.f64 (*.f64 1/32 (*.f64 f f)) (pow.f64 (PI.f64) 2)))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
0.1%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))))
5.3%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))) 3)))
95.4%
(neg.f64 (cbrt.f64 (*.f64 64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))
95.4%
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))))
94.3%
(neg.f64 (cbrt.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))))
Compiler

Compiled 2568 to 2102 computations (18.1% saved)

localize718.0ms (2.4%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.6%
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2)))
99.6%
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2))))
99.6%
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))
97.0%
(PI.f64)
99.7%
(*.f64 (/.f64 (PI.f64) 4) f)
99.7%
(*.f64 (*.f64 -1/4 f) (PI.f64))
98.5%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 262144)))
97.0%
(PI.f64)
99.6%
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))
99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
98.3%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))))
97.0%
(PI.f64)
99.6%
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
99.5%
(/.f64 (/.f64 4 f) (PI.f64))
99.4%
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
97.0%
(PI.f64)
99.6%
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))
98.5%
(pow.f64 (PI.f64) 5)
98.5%
(pow.f64 (PI.f64) 3)
97.0%
(PI.f64)
Compiler

Compiled 728 to 487 computations (33.1% saved)

series60.0ms (0.2%)

Counts
13 → 132
Calls

33 calls:

TimeVariablePointExpression
20.0ms
f
@inf
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))
20.0ms
f
@-inf
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))
5.0ms
f
@inf
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))
5.0ms
f
@-inf
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))
2.0ms
f
@0
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))

rewrite105.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1138×pow1
1110×add-exp-log
1100×log1p-expm1-u
1098×add-log-exp
1098×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061553
11313553
Stop Event
node limit
Counts
13 → 129
Calls
Call 1
Inputs
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))
(/.f64 (/.f64 4 f) (PI.f64))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 262144)))
(*.f64 (*.f64 -1/4 f) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2)))
Outputs
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 3))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 5))) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (pow.f64 (PI.f64) 5)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 5))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (/.f64 4 f) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))
(*.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(-.f64 (+.f64 1 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 1)
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))
(*.f64 1 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))) (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 4)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) 1/4))
(/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(/.f64 (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1)
(log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (/.f64 4 f) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(-.f64 (+.f64 1 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) 1)
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))
(*.f64 1 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))))) (cbrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) 4)
(pow.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) 1)
(log.f64 (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))) (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 4 (PI.f64)))))
(/.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)) (*.f64 (PI.f64) 1/4))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (*.f64 (PI.f64) (*.f64 f -1/4))) (*.f64 (PI.f64) (*.f64 f -1/4))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(*.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
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(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
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(*.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
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(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
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(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))

simplify184.0ms (0.6%)

Algorithm
egg-herbie
Rules
1276×associate-*r*
1160×associate-*l*
668×fma-def
528×*-commutative
524×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058215893
1155814061
2737913705
Stop Event
node limit
Counts
261 → 277
Calls
Call 1
Inputs
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
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(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144))) 1)
(log.f64 (exp.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)))))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (+.f64 1 (*.f64 (PI.f64) (*.f64 f -1/4)))) 1/262144)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) 1)
(log.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 f -1/4)) (*.f64 (PI.f64) (*.f64 f -1/4))) (*.f64 (PI.f64) (*.f64 f -1/4))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))
(*.f64 1 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))) (cbrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)) 1)
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))) (log.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 1 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))) 1)
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
Outputs
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/2 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (+.f64 (*.f64 (/.f64 f (PI.f64)) 0) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))))) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/2 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))) (fma.f64 1/2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(-.f64 (+.f64 (*.f64 (/.f64 f (PI.f64)) 0) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (/.f64 (log.f64 f) (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 f 3) (+.f64 (*.f64 -3/4 (*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64)))))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 3)) (*.f64 3/2 (*.f64 (PI.f64) (-.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (*.f64 1/48 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))))))))) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))) 2)) (*.f64 1/2 (*.f64 (PI.f64) (-.f64 (*.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))))) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))))
(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/6 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (fma.f64 -3/4 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) 0) (*.f64 (PI.f64) 1/12))) (fma.f64 1/4 (pow.f64 (*.f64 (PI.f64) 0) 3) (*.f64 (*.f64 3/2 (PI.f64)) (fma.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 0) (PI.f64)) (neg.f64 (*.f64 1/48 (*.f64 (PI.f64) (*.f64 (PI.f64) 0)))))))))) (fma.f64 1/2 (/.f64 f (/.f64 (PI.f64) (*.f64 (PI.f64) 0))) (fma.f64 1/2 (/.f64 (*.f64 f f) (/.f64 (PI.f64) (fma.f64 -1/4 (pow.f64 (*.f64 (PI.f64) 0) 2) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))))
(-.f64 (+.f64 (fma.f64 1/2 (*.f64 (/.f64 (*.f64 f f) (PI.f64)) (fma.f64 1/2 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 f 3) (PI.f64)) (fma.f64 3/2 (+.f64 (*.f64 (/.f64 0 (PI.f64)) (PI.f64)) 0) 0)) (*.f64 (/.f64 f (PI.f64)) 0))) (/.f64 (log.f64 f) (PI.f64)))
(/.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (pow.f64 (PI.f64) 5)))) (*.f64 5 (neg.f64 (log.f64 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (pow.f64 (PI.f64) 5)))) (*.f64 (log.f64 f) -5)) (PI.f64))
(-.f64 (+.f64 (*.f64 5 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))) (/.f64 (log.f64 (*.f64 61440 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (PI.f64))) (*.f64 320 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
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(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))) (log.f64 f))
(log.f64 (*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64))))
(*.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
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(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))) (log.f64 f))
(log.f64 (*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
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(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))) (log.f64 f))
(log.f64 (*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64))))
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(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))) (log.f64 f))
(log.f64 (*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (PI.f64))))
(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))) (log.f64 f))
(log.f64 (*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(cbrt.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (PI.f64))))
(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))) (log.f64 f))
(log.f64 (*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (PI.f64))))
(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))) (log.f64 f))
(log.f64 (*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
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(-.f64 (log.f64 (*.f64 2 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))) (log.f64 f))
(log.f64 (*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64))))
(*.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (/.f64 1 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (*.f64 (PI.f64) f))
(*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))
(*.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (*.f64 (PI.f64) f))
(*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))))) (cbrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (*.f64 (PI.f64) f))
(*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (*.f64 (PI.f64) f))
(*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))) 1)
(/.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (*.f64 (PI.f64) f))
(*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (*.f64 (PI.f64) f))
(*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(cbrt.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (*.f64 (PI.f64) (*.f64 f 1/2))) (*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (*.f64 (PI.f64) f))
(*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (*.f64 (PI.f64) f))
(*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (*.f64 2 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4)))) (*.f64 (PI.f64) f))
(*.f64 (/.f64 2 f) (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/4))) (PI.f64)))

eval757.0ms (2.5%)

Compiler

Compiled 38208 to 25612 computations (33% saved)

prune147.0ms (0.5%)

Pruning

25 alts after pruning (20 fresh and 5 done)

PrunedKeptTotal
New113781145
Fresh101222
Picked325
Done134
Total1151251176
Accuracy
97.0%
Counts
1176 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
1.6%
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
95.8%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
95.3%
(neg.f64 (*.f64 (/.f64 4 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
96.3%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.7%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
95.8%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
94.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
94.5%
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
5.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
96.0%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
5.1%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) 1) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
5.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
96.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
5.4%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
5.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))))
5.3%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))))
96.2%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (fma.f64 f (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (/.f64 (/.f64 4 f) (PI.f64))) 0)) (PI.f64))))
96.0%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))
1.6%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
94.6%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4)))))
95.3%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
5.3%
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))) 3)))
95.4%
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))))
Compiler

Compiled 1850 to 1403 computations (24.2% saved)

regimes110.0ms (0.4%)

Counts
61 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
(neg.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/262144)) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (*.f64 1/8 (*.f64 f (PI.f64))) (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) 4)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (/.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 4) (PI.f64)))
(neg.f64 (cbrt.f64 (*.f64 64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3)))
(neg.f64 (/.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)) 4) (PI.f64)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (/.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))) 4) (PI.f64)))
(neg.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3) 1/3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (+.f64 1 (*.f64 (*.f64 -1/4 f) (PI.f64)))) 262144))))
(neg.f64 (cbrt.f64 (*.f64 64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 1/131072 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 4 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 (*.f64 2 (+.f64 1 (*.f64 (*.f64 1/32 (*.f64 f f)) (pow.f64 (PI.f64) 2)))) 1/262144)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 262144))))
(neg.f64 (cbrt.f64 (exp.f64 (log.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 3)))))
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (*.f64 (PI.f64) (*.f64 f 1/2))))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) 1) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (cbrt.f64 (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) (*.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))))
(neg.f64 (*.f64 4 (fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/2 (/.f64 f (/.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0)))) (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (+.f64 (fma.f64 f (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (/.f64 (/.f64 4 f) (PI.f64))) 0)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (*.f64 2 (cosh.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (log.f64 (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
(neg.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))) 3)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 4 f))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64))) 2))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (expm1.f64 (log1p.f64 (/.f64 (*.f64 (PI.f64) f) 4)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64)))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64))))) (/.f64 (-.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (*.f64 (PI.f64) 2))) (+.f64 (pow.f64 (exp.f64 (*.f64 f 1/4)) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 f) -1/4) (PI.f64)))))) (PI.f64))))
Outputs
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
Calls

6 calls:

28.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
25.0ms
f
8.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
7.0ms
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
7.0ms
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
Results
AccuracySegmentsBranch
96.4%1f
96.4%1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
96.4%1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
96.4%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
96.4%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
96.4%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 1434 to 1064 computations (25.8% saved)

regimes11.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (cbrt.f64 64) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
96.3%1f
Compiler

Compiled 107 to 82 computations (23.4% saved)

regimes7.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 4) (PI.f64)))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
Outputs
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (PI.f64)))
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
96.0%1f
Compiler

Compiled 83 to 64 computations (22.9% saved)

regimes5.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
Outputs
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
95.8%1f
Compiler

Compiled 21 to 17 computations (19% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
Outputs
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 10 to 9 computations (10% saved)

simplify17.0ms (0.1%)

Algorithm
egg-herbie
Rules
318×unsub-neg
224×neg-mul-1
100×distribute-neg-out
94×distribute-lft-neg-in
80×distribute-lft-neg-out
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
029179
160179
2103179
3131171
4157171
5173171
6233171
7499171
8702171
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
Outputs
(neg.f64 (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (neg.f64 4)) (PI.f64))
(/.f64 (*.f64 4 (+.f64 (log.f64 f) (neg.f64 (log.f64 (/.f64 4 (PI.f64)))))) (PI.f64))
(/.f64 (*.f64 4 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (neg.f64 (log.f64 (/.f64 4 (PI.f64))))))
(*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (neg.f64 4)) (PI.f64))
(/.f64 (*.f64 4 (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 1/131072))))
(/.f64 (neg.f64 4) (/.f64 (PI.f64) (log.f64 1/131072)))
Compiler

Compiled 56 to 48 computations (14.3% saved)

soundness1.0s (3.5%)

Rules
1738×fma-def
1344×times-frac
1276×associate-*r*
1160×associate-*l*
906×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01624606
14724226
218763890
019100
1412100
26827100
059924916
1152219894
2703219830
059924916
1152219894
2703219830
059924916
1152219894
2703219830
058215893
1155814061
2737913705
Stop Event
node limit
node limit
node limit
node limit
unsound
node limit
Compiler

Compiled 275 to 208 computations (24.4% saved)

end0.0ms (0%)

preprocess66.0ms (0.2%)

Compiler

Compiled 180 to 138 computations (23.3% saved)

Profiling

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