VandenBroeck and Keller, Equation (20)

Time bar (total: 9.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze180.0ms (1.9%)

Memory
2.6MiB live, 189.6MiB allocated; 47ms collecting garbage
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
0%0%75%0%0%25%0%3
0%0%62.5%0%0%37.5%0%4
0%0%56.2%0%0%43.7%0%5
0%0%53.1%0%0%46.9%0%6
3.1%1.6%48.4%0%0%50%0%7
3.2%1.6%47.6%0%0%50.8%0%8
4%2%47.2%0%0%50.8%0%9
4.8%2.3%46.7%0%0%51%0%10
5.2%2.5%46.4%0%0%51%0%11
5.3%2.6%46.2%0%0%51.1%0%12
Compiler

Compiled 39 to 18 computations (53.8% saved)

sample5.5s (56.5%)

Memory
41.0MiB live, 6 905.4MiB allocated; 2.4s collecting garbage
Samples
2.5s7 307×1invalid
2.0s7 823×1valid
183.0ms177×2valid
20.0ms256×0valid
1.0ms12×0invalid
0.0ms0exit
Precisions
Click to see histograms. Total time spent on operations: 4.1s
ival-exp: 1.4s (34.8% of total)
adjust: 1.0s (25.1% of total)
ival-mult!: 512.0ms (12.5% of total)
ival-neg: 364.0ms (8.9% of total)
ival-log: 338.0ms (8.3% of total)
ival-div!: 250.0ms (6.1% of total)
ival-add!: 103.0ms (2.5% of total)
ival-sub!: 74.0ms (1.8% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

preprocess45.0ms (0.5%)

Memory
-14.6MiB live, 31.2MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02878
112154
249854
3295054
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Compiler

Compiled 68 to 32 computations (52.9% saved)

series111.0ms (1.1%)

Memory
-2.6MiB live, 238.0MiB allocated; 34ms collecting garbage
Counts
16 → 42
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Outputs
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#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 2))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/16 (* f (pow (PI) 2))) (* 1/4 (PI))))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/4 (PI)) (* f (+ (* 1/16 (pow (PI) 2)) (* f (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))))))))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 1))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* 1/4 (* f (PI))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* f (+ (* 1/32 (* f (pow (PI) 2))) (* 1/4 (PI)))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* f (+ (* 1/4 (PI)) (* f (+ (* 1/384 (* f (pow (PI) 3))) (* 1/32 (pow (PI) 2)))))))))
#s(approx (* (/ (PI) 4) f) #s(hole binary64 (* 1/4 (* f (PI)))))
#s(approx f #s(hole binary64 f))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (+ 1 (* -1/4 (* f (PI))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (+ 1 (* f (+ (* -1/4 (PI)) (* 1/32 (* f (pow (PI) 2))))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (+ 1 (* f (+ (* -1/4 (PI)) (* f (+ (* -1/384 (* f (pow (PI) 3))) (* 1/32 (pow (PI) 2)))))))))
#s(approx (neg (* (/ (PI) 4) f)) #s(hole binary64 (* -1/4 (* f (PI)))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))))
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#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (exp (* 1/4 (* f (PI))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (exp (neg (* 1/4 (* f (PI)))))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
Calls

3 calls:

TimeVariablePointExpression
62.0ms
f
@inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
37.0ms
f
@-inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
8.0ms
f
@0
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite218.0ms (2.2%)

Memory
36.1MiB live, 322.5MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03003538
03272168
118782029
0100001963
Stop Event
iter-limit
node-limit
iter-limit
Counts
58 → 124
Calls
Call 1
Inputs
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(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
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#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 2))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/16 (* f (pow (PI) 2))) (* 1/4 (PI))))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/4 (PI)) (* f (+ (* 1/16 (pow (PI) 2)) (* f (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))))))))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 1))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* 1/4 (* f (PI))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* f (+ (* 1/32 (* f (pow (PI) 2))) (* 1/4 (PI)))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* f (+ (* 1/4 (PI)) (* f (+ (* 1/384 (* f (pow (PI) 3))) (* 1/32 (pow (PI) 2)))))))))
#s(approx (* (/ (PI) 4) f) #s(hole binary64 (* 1/4 (* f (PI)))))
#s(approx f #s(hole binary64 f))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (+ 1 (* -1/4 (* f (PI))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (+ 1 (* f (+ (* -1/4 (PI)) (* 1/32 (* f (pow (PI) 2))))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (+ 1 (* f (+ (* -1/4 (PI)) (* f (+ (* -1/384 (* f (pow (PI) 3))) (* 1/32 (pow (PI) 2)))))))))
#s(approx (neg (* (/ (PI) 4) f)) #s(hole binary64 (* -1/4 (* f (PI)))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (exp (* 1/4 (* f (PI))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (exp (neg (* 1/4 (* f (PI)))))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
Outputs
(*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))) (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
(neg.f64 (*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)) (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))) (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -4 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))))
(-.f64 (log.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (log.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (*.f64 (/.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))))
(/.f64 (fma.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(+.f64 (/.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(+.f64 (/.f64 (exp.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 2 binary64))) (exp.f64 (fma.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
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#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f)) f))
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#s(approx f f)
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#s(approx (exp (* (/ (PI) 4) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (exp (neg (* (/ (PI) 4) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))

eval20.0ms (0.2%)

Memory
-0.8MiB live, 45.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 943 to 918 computations (76.7% saved)

prune13.0ms (0.1%)

Memory
-20.8MiB live, 26.2MiB allocated; 1ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New10512117
Fresh000
Picked101
Done000
Total10612118
Accuracy
99.3%
Counts
118 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))))))
97.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
6.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
6.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
5.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
5.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f)) f)))))
96.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
75.4%
(neg.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
75.5%
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
97.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
97.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
Compiler

Compiled 1 042 to 608 computations (41.7% saved)

series494.0ms (5.1%)

Memory
54.1MiB live, 650.4MiB allocated; 136ms collecting garbage
Counts
58 → 108
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64))
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
#s(literal 2 binary64)
(cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal -1/4 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
#s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(neg.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))))
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
#s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
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Calls

3 calls:

TimeVariablePointExpression
250.0ms
f
@-inf
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191.0ms
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44.0ms
f
@0
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rewrite234.0ms (2.4%)

Memory
8.8MiB live, 327.8MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081514482
08949944
153479857
082419517
Stop Event
iter-limit
node-limit
iter-limit
Counts
166 → 352
Calls
Call 1
Inputs
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Outputs
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#s(approx (cosh (* (* (PI) f) -1/4)) #s(literal 1 binary64))
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#s(approx f f)
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#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)))
#s(approx (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))))
#s(approx (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
#s(approx (* 2 (cosh (* (* (PI) f) -1/4))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
#s(approx (cosh (* (* (PI) f) -1/4)) (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))
#s(approx (sinh (* (* (PI) f) 1/4)) (*.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
#s(approx (exp (* (/ (PI) 4) f)) (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
#s(approx (exp (neg (* (/ (PI) 4) f))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))
#s(approx (neg (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (* (/ 1 (PI)) 4)))) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (* (/ 1 (PI)) 4))) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (* (/ 1 (PI)) 4)) (exp.f64 (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal 4 binary64))))
#s(approx (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
#s(approx (cosh (* f (/ (PI) 4))) (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (+ (* (* (PI) f) 1/4) 1) (fma.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f #s(literal 1 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))))
#s(approx (+ (* (* (PI) f) 1/4) 1) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f)) f)))

eval124.0ms (1.3%)

Memory
-38.9MiB live, 147.5MiB allocated; 112ms collecting garbage
Compiler

Compiled 12 388 to 2 289 computations (81.5% saved)

prune29.0ms (0.3%)

Memory
-23.1MiB live, 74.8MiB allocated; 5ms collecting garbage
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New32716343
Fresh167
Picked505
Done000
Total33322355
Accuracy
99.6%
Counts
355 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
5.1%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
97.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))))))
5.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
97.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
6.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
6.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
4.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f)) f)))))
96.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
97.6%
(neg.f64 (*.f64 #s(literal 4 binary64) (log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
5.9%
(neg.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
75.4%
(neg.f64 (log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
75.3%
(neg.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))
75.5%
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
97.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)) (PI.f64)))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
97.7%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))) (PI.f64)) #s(literal -4 binary64)))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
97.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) #s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (PI.f64)) #s(literal -4 binary64)))
97.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
97.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (+.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (neg.f64 (*.f64 f (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))) #s(literal -4 binary64)))
Compiler

Compiled 1 888 to 1 184 computations (37.3% saved)

series296.0ms (3%)

Memory
57.7MiB live, 338.1MiB allocated; 140ms collecting garbage
Counts
74 → 117
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64))
(log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
(cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))
(*.f64 f (PI.f64))
f
(PI.f64)
#s(literal -1/4 binary64)
(sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
#s(literal 4 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) f #s(literal 2 binary64)))
(fma.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) f #s(literal 2 binary64))
(*.f64 (PI.f64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
#s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))
(-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))
(log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))
(neg.f64 f)
(log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))
(-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f)) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f)) f))))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f)) f))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f)) f)
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f))
(/.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)) f)
(fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f))
(/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))) f)
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
#s(literal -2 binary64)
(/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
#s(literal 1/192 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
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Calls

3 calls:

TimeVariablePointExpression
207.0ms
f
@inf
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55.0ms
f
@-inf
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25.0ms
f
@0
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rewrite205.0ms (2.1%)

Memory
34.2MiB live, 216.2MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084411528
09397599
155907427
081017169
Stop Event
iter-limit
node-limit
iter-limit
Counts
191 → 400
Calls
Call 1
Inputs
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f
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#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) #s(hole binary64 (* f (+ (* -1/24 (PI)) (+ (* 1/8 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) #s(hole binary64 (* (pow f 2) (+ (* -1/24 (PI)) (+ (* 1/8 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ -4 (PI))) (log (/ -1 f)))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) #s(hole binary64 (* -1 (* f (- (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -4 binary64)))
(-.f64 (log.f64 (neg.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))
(/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(cosh.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))
(cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) f) (PI.f64))
(*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 f (PI.f64))))
(*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 f (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
f
(PI.f64)
#s(literal -1/4 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 #s(literal 1/4 binary64) f)
(*.f64 f #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 (*.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (neg.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 f (PI.f64))))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
#s(literal 4 binary64)
(*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
(neg.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(log.f64 (pow.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(*.f64 (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(log.f64 (pow.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -4 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(-.f64 (log.f64 (neg.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(-.f64 (log.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64)))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))))
#s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) f) (*.f64 #s(literal 0 binary64) f)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 0 binary64) f) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 0 binary64) f) (*.f64 #s(literal 0 binary64) f))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) f)))
(/.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 0 binary64) #s(literal 8 binary64)) (fma.f64 (*.f64 #s(literal 0 binary64) f) (*.f64 #s(literal 0 binary64) f) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 0 binary64) f) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) f) (*.f64 #s(literal 0 binary64) f)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) f)))))
(fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))
(fma.f64 f #s(literal 0 binary64) #s(literal 2 binary64))
(fma.f64 (PI.f64) (*.f64 #s(literal 0 binary64) f) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 f) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) f) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) f))
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))) (+.f64 (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (neg.f64 f) #s(literal 3 binary64)))) (fma.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))
#s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1 binary64)) f)
(pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f))
(pow.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(-.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64)))) (neg.f64 f)))
(exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))
(*.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f)
(*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))
(/.f64 (*.f64 (PI.f64) (neg.f64 f)) #s(literal 4 binary64))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (*.f64 f (PI.f64)) #s(literal 4 binary64))
(*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))))))))
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#s(approx f f)
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#s(approx (neg f) (neg.f64 f))
#s(approx (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
#s(approx (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))) (+.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (/.f64 (*.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))) (+.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (*.f64 (-.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 24 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -12 binary64))) (*.f64 f f)) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/384 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 f f))))
#s(approx (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))) (+.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (*.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 f f)) (fma.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/48 binary64))) #s(literal -720 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/41287680 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 720 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal 240 binary64)))) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 24 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -12 binary64))) #s(literal 1/24 binary64))) (*.f64 f f) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/384 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (/.f64 (*.f64 #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 f f))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (/.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))))
#s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f)))
#s(approx (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (* (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* 1/4 f) (PI))))) -4) (PI)) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* 1/4 f) (PI))))) -4) (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal -4 binary64)))
#s(approx (log (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* 1/4 f) (PI))))) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
#s(approx (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* 1/4 f) (PI)))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (cosh (* (* f (PI)) -1/4)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))
#s(approx (sinh (* (* 1/4 f) (PI))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (exp (* (/ (PI) 4) f)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (exp (* (/ (PI) 4) (neg f))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
#s(approx (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (exp (* (/ (PI) 4) (neg f))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))
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#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) (*.f64 f f)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (*.f64 (neg.f64 f) (-.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64))))))

eval127.0ms (1.3%)

Memory
-32.8MiB live, 111.4MiB allocated; 89ms collecting garbage
Compiler

Compiled 11 428 to 2 902 computations (74.6% saved)

prune30.0ms (0.3%)

Memory
7.2MiB live, 53.4MiB allocated; 3ms collecting garbage
Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New35612368
Fresh31417
Picked325
Done000
Total36228390
Accuracy
99.6%
Counts
390 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
5.1%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
4.0%
(neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
5.1%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
97.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))))))
6.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
6.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
4.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 #s(approx (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log.f64 #s(literal 2 binary64))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
6.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
6.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
4.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 #s(approx (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f)) f)) f)))))
97.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
96.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
43.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
96.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) (-.f64 (fma.f64 (*.f64 #s(literal 0 binary64) f) #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
97.6%
(neg.f64 (*.f64 #s(literal 4 binary64) (log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (/.f64 #s(literal 1 binary64) (PI.f64))))))
5.9%
(neg.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
75.4%
(neg.f64 (log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
75.3%
(neg.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))
75.5%
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
97.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)) (PI.f64)))
97.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 #s(approx (cosh (* (* f (PI)) -1/4)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)) (PI.f64)))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
97.7%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))) (PI.f64)) #s(literal -4 binary64)))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
97.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
97.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (+.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (neg.f64 (*.f64 f (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))) #s(literal -4 binary64)))
Compiler

Compiled 2 614 to 1 650 computations (36.9% saved)

series602.0ms (6.2%)

Memory
38.1MiB live, 716.0MiB allocated; 237ms collecting garbage
Counts
73 → 153
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))) (PI.f64))
(-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))))
(log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))
(*.f64 f (PI.f64))
f
(PI.f64)
#s(literal -1/4 binary64)
#s(literal 2 binary64)
(log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))
(*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))
(sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 #s(literal 1/4 binary64) f)
#s(literal 1/4 binary64)
#s(literal -4 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f))
(/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) (-.f64 (fma.f64 (*.f64 #s(literal 0 binary64) f) #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) (-.f64 (fma.f64 (*.f64 #s(literal 0 binary64) f) #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
#s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) (-.f64 (fma.f64 (*.f64 #s(literal 0 binary64) f) #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
(-.f64 (fma.f64 (*.f64 #s(literal 0 binary64) f) #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
(fma.f64 (*.f64 #s(literal 0 binary64) f) #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 0 binary64) f)
#s(literal 0 binary64)
#s(literal 1/2 binary64)
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Calls

3 calls:

TimeVariablePointExpression
281.0ms
f
@inf
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217.0ms
f
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68.0ms
f
@0
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rewrite796.0ms (8.2%)

Memory
-103.0MiB live, 207.8MiB allocated; 1.1s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108316652
011799579
176739463
080949059
Stop Event
iter-limit
node-limit
iter-limit
Counts
226 → 496
Calls
Call 1
Inputs
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f
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Outputs
#s(approx (neg (log (pow (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))) (/ 4 (PI))))) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
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(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))) (PI.f64))
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#s(approx (+ (* (* f (PI)) 1/4) 1) (*.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (/.f64 #s(literal 1 binary64) f)) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (*.f64 (neg.f64 f) (-.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64))))))
#s(approx (- (+ (* (* 0 f) 1/2) (log 2)) (log (* (* 1/2 (PI)) f))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)))))
#s(approx (log (* (* 1/2 (PI)) f)) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f))) (log.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (+ (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) (+.f64 (/.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f))))) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))
#s(approx (/ (neg (log f)) (PI)) (/.f64 (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f))))) (PI.f64)))
#s(approx (neg (log f)) (neg.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f))))))
#s(approx (log f) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)))))
#s(approx (+ (* (* f (PI)) 1/4) 1) (*.f64 (neg.f64 f) (-.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))))

eval76.0ms (0.8%)

Memory
-7.0MiB live, 75.5MiB allocated; 12ms collecting garbage
Compiler

Compiled 13 256 to 2 974 computations (77.6% saved)

prune111.0ms (1.1%)

Memory
-4.9MiB live, 87.2MiB allocated; 14ms collecting garbage
Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New39910409
Fresh31821
Picked415
Done022
Total40631437
Accuracy
99.6%
Counts
437 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
5.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
5.1%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
96.9%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
4.0%
(neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
5.1%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
6.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
6.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
4.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 #s(approx (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log.f64 #s(literal 2 binary64))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
6.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
6.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
4.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
1.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
43.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
1.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
96.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))))
97.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) #s(approx (- (+ (* (* 0 f) 1/2) (log 2)) (log (* (* 1/2 (PI)) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (neg.f64 (log.f64 f))))))))
5.9%
(neg.f64 (log.f64 (pow.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) (neg f))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (* (/ (PI) 4) (neg f))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
75.4%
(neg.f64 (log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
75.3%
(neg.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))
74.7%
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
75.5%
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
97.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)) (PI.f64)))
97.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 #s(approx (cosh (* (* f (PI)) -1/4)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)) (PI.f64)))
97.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))))) (log.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
97.7%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))) (PI.f64)) #s(literal -4 binary64)))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
97.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
97.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))) (PI.f64)) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))) (PI.f64))) #s(literal -4 binary64)))
97.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))) #s(literal -4 binary64)))
Compiler

Compiled 3 106 to 1 517 computations (51.2% saved)

regimes76.0ms (0.8%)

Memory
7.4MiB live, 148.1MiB allocated; 25ms collecting garbage
Counts
51 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
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(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
(neg.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))))) (log.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)) (PI.f64)))
Calls

6 calls:

16.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
15.0ms
f
12.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
11.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
9.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
97.8%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.8%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.8%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.8%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.8%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.8%1f
Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes54.0ms (0.6%)

Memory
-26.3MiB live, 62.7MiB allocated; 15ms collecting garbage
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) #s(approx (- (+ (* (* 0 f) 1/2) (log 2)) (log (* (* 1/2 (PI)) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (neg.f64 (log.f64 f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))))
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 #s(approx (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f)) f)) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) (-.f64 (fma.f64 (*.f64 #s(literal 0 binary64) f) #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) #s(literal 2 binary64)) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) #s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (fma.f64 #s(literal 0 binary64) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (neg.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64)))))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 #s(approx (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log.f64 #s(literal 2 binary64))) (log.f64 (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 #s(approx (cosh (* (* f (PI)) -1/4)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) f #s(literal 2 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
Calls

6 calls:

25.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
11.0ms
f
4.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
4.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
97.3%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.3%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.3%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.3%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.3%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.3%1f
Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes20.0ms (0.2%)

Memory
39.3MiB live, 39.3MiB allocated; 0ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) #s(approx (- (+ (* (* 0 f) 1/2) (log 2)) (log (* (* 1/2 (PI)) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (neg.f64 (log.f64 f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/2 binary64)))))))
(neg.f64 (log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f)))) (log (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f)))))) #s(approx (- (+ (* (* 0 f) 1/2) (log 2)) (log (* (* 1/2 (PI)) f))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (neg.f64 (neg.f64 (log.f64 f))))))))
Calls

6 calls:

4.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
f
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
3.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
3.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
97.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.0%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.0%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.0%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.0%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.0%1f
Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes38.0ms (0.4%)

Memory
-4.1MiB live, 41.4MiB allocated; 6ms collecting garbage
Accuracy

Total -61.4b remaining (-3201.5%)

Threshold costs -61.4b (-3201.5%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (* (/ (PI) 4) (neg f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* (* 1/2 (PI)) (PI)))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (* (* (PI) (PI)) (PI)) 1/192) (* (* (PI) (PI)) 1/4)))) f)) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
Calls

6 calls:

25.0ms
f
3.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
2.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
2.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
97.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.0%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.0%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.0%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.0%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.0%1f
Compiler

Compiled 126 to 60 computations (52.4% saved)

derivations277.0ms (2.8%)

Memory
-45.1MiB live, 250.4MiB allocated; 67ms collecting garbage
Stop Event
fuel
Compiler

Compiled 207 to 104 computations (49.8% saved)

preprocess62.0ms (0.6%)

Memory
6.3MiB live, 96.7MiB allocated; 9ms collecting garbage
Compiler

Compiled 241 to 120 computations (50.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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