VandenBroeck and Keller, Equation (20)

Time bar (total: 10.0s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze171.0ms (1.7%)

Memory
-18.4MiB live, 420.0MiB allocated; 35ms 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)

sample6.2s (62.1%)

Memory
64.1MiB live, 5 995.9MiB allocated; 2.0s collecting garbage
Samples
2.6s7 274×1invalid
2.6s7 818×1valid
138.0ms189×2valid
43.0ms249×0valid
1.0ms12×0invalid
1.0ms0exit
Precisions
Click to see histograms. Total time spent on operations: 4.7s
ival-exp: 1.7s (36.2% of total)
ival-mult!: 1.3s (27.9% of total)
adjust: 594.0ms (12.5% of total)
ival-log: 345.0ms (7.3% of total)
ival-neg: 270.0ms (5.7% of total)
ival-div!: 224.0ms (4.7% of total)
ival-add!: 198.0ms (4.2% of total)
ival-sub!: 73.0ms (1.5% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

preprocess74.0ms (0.7%)

Memory
-39.3MiB live, 51.8MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02876
114954
277654
3494654
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.4%
(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))))))))
Symmetry

(abs f)

Compiler

Compiled 68 to 32 computations (52.9% saved)

series124.0ms (1.2%)

Memory
9.0MiB live, 240.5MiB allocated; 29ms 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
#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))))))
#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)))))
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#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 (neg (* (/ (PI) 4) f))) #s(hole binary64 (exp (neg (* 1/4 (* f (PI)))))))
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Calls

3 calls:

TimeVariablePointExpression
70.0ms
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)))))
40.0ms
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)))))

rewrite296.0ms (3%)

Memory
36.9MiB live, 426.4MiB allocated; 109ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03003538
03272168
122912005
085111939
1238071939
Stop Event
iter-limit
node-limit
iter-limit
Counts
58 → 138
Calls
Call 1
Inputs
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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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(*.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (PI.f64))))
(log.f64 (pow.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (neg.f64 (*.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) #s(literal 1/4 binary64)))
(*.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (*.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))) (neg.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(log.f64 (pow.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (*.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(log.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (fabs.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))))
(log.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (*.f64 (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
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(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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))))) (/.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 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (PI.f64)) #s(literal 1/96 binary64)))) f)) f)) f))
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#s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64))
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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)))))

eval30.0ms (0.3%)

Memory
-19.3MiB live, 78.3MiB allocated; 18ms collecting garbage
Compiler

Compiled 4 042 to 993 computations (75.4% saved)

prune12.0ms (0.1%)

Memory
-8.1MiB live, 37.6MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1249133
Fresh000
Picked101
Done000
Total1259134
Accuracy
99.3%
Counts
134 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(*.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))))
6.1%
(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 (-.f64 (exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
7.3%
(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 #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))))))))
6.8%
(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))))))))
5.9%
(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)) #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))))))))
96.0%
(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))))))
97.5%
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (PI.f64))))
80.3%
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
96.1%
#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 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
Compiler

Compiled 622 to 402 computations (35.4% saved)

series343.0ms (3.4%)

Memory
30.9MiB live, 665.7MiB allocated; 236ms collecting garbage
Counts
49 → 108
Calls
Call 1
Inputs
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (PI.f64))))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (PI.f64)))
#s(literal 4 binary64)
(/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (PI.f64))
(log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))
#s(literal 1 binary64)
(/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))
(cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(literal 1/4 binary64)
(PI.f64)
f
(sinh.f64 (*.f64 (*.f64 #s(literal 1/4 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)))
(*.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))
#s(literal 2 binary64)
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (PI.f64))
(neg.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #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 #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))))))))
(*.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)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 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))))))
(/.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)))))
(+.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))))
#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)))
(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))
(fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) f) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
#s(literal 1/32 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) f)
(*.f64 (PI.f64) (PI.f64))
(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)) (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))))
Outputs
#s(approx (neg (* 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (neg (* 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)))) #s(hole binary64 (- (* 4 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)))) #s(hole binary64 (- (* f (- (* -2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* -4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)))) #s(hole binary64 (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (PI))) (* 2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* -4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (* 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI))) #s(hole binary64 (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
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Calls

3 calls:

TimeVariablePointExpression
170.0ms
f
@inf
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103.0ms
f
@-inf
((neg (* 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)))) (* 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI))) 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))) (cosh (* (* 1/4 (PI)) f)) (* (* 1/4 (PI)) f) (* 1/4 (PI)) 1/4 (PI) f (sinh (* (* 1/4 (PI)) f)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) 2 (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 -4 (* (* (/ 1 (PI)) 4) (neg (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))))) (* (/ 1 (PI)) 4) (/ 1 (PI)) (neg (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))))) (log (pow (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (neg (* (/ 1 (PI)) 4)))) (pow (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (neg (* (/ 1 (PI)) 4))) (neg (* (/ 1 (PI)) 4)) (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)) (/ (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)) (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) 1/32 (* (* (PI) (PI)) f) (* (PI) (PI)) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
49.0ms
f
@0
((neg (* 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)))) (* 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI))) 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))) (cosh (* (* 1/4 (PI)) f)) (* (* 1/4 (PI)) f) (* 1/4 (PI)) 1/4 (PI) f (sinh (* (* 1/4 (PI)) f)) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) 2 (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 -4 (* (* (/ 1 (PI)) 4) (neg (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))))) (* (/ 1 (PI)) 4) (/ 1 (PI)) (neg (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))))) (log (pow (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (neg (* (/ 1 (PI)) 4)))) (pow (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (neg (* (/ 1 (PI)) 4))) (neg (* (/ 1 (PI)) 4)) (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)) (/ (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)) (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) 1/32 (* (* (PI) (PI)) f) (* (PI) (PI)) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite321.0ms (3.2%)

Memory
-17.8MiB live, 375.5MiB allocated; 102ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076614539
08409955
159679955
080289626
1199129626
Stop Event
iter-limit
node-limit
iter-limit
Counts
157 → 325
Calls
Call 1
Inputs
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#s(literal 4 binary64)
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#s(literal 1/4 binary64)
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#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ 1 f)) (log (/ 4 (PI))))))
#s(approx (neg (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))))) #s(hole binary64 (* -1 (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))))
#s(approx (pow (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (neg (* (/ 1 (PI)) 4))) #s(hole binary64 (exp (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 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 (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) #s(hole binary64 (* 1/32 (* (pow f 2) (pow (PI) 2)))))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* 1/4 (/ (PI) f))))))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (+ (* 1/4 (/ (PI) f)) (/ 1 (pow f 2)))))))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) #s(hole binary64 (* 1/32 (* f (pow (PI) 2)))))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) #s(hole binary64 (* f (+ (* 1/32 (pow (PI) 2)) (* 1/4 (/ (PI) f))))))
#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))))))))
#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 (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* -1 (/ (- (* -1/4 (PI)) (/ 1 f)) f)) (* 1/32 (pow (PI) 2))))))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) #s(hole binary64 (* -1 (* f (+ (* -1/4 (/ (PI) f)) (* -1/32 (pow (PI) 2)))))))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
(*.f64 #s(literal 4 binary64) (neg.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64))
#s(literal 4 binary64)
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(log.f64 (fabs.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log.f64 (/.f64 (cosh.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 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.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 #s(literal 1 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
(/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
#s(literal 1 binary64)
(*.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.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 #s(literal 1 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
(/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (cosh.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)))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
(cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))
(cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -4 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
(PI.f64)
f
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sinh.f64 (*.f64 (*.f64 (PI.f64) f) #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 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) #s(literal -4 binary64)) (PI.f64))
(*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
(log.f64 (fabs.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
(/.f64 (/.f64 #s(literal 2 binary64) f) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 2 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))
(*.f64 f (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) (*.f64 (PI.f64) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))))
(neg.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (PI.f64) #s(literal 1/4 binary64) (neg.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(fma.f64 (PI.f64) #s(literal 1/4 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (PI.f64) (neg.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(fma.f64 #s(literal 1/4 binary64) (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal -4 binary64)
(*.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (cosh.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 #s(literal 1 binary64) (PI.f64)) (*.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(pow.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(pow.f64 (PI.f64) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(log.f64 (fabs.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64))
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#s(approx (exp (* (/ (PI) 4) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64))))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (/.f64 (PI.f64) f) #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 f f)))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64) (fma.f64 (/.f64 (PI.f64) f) #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 f f)))) (*.f64 f f)))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64)))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (fma.f64 (/.f64 (PI.f64) f) #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f))
#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)))))
#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 (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f)) f))) (*.f64 f f)))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (neg.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) f) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f)))

eval62.0ms (0.6%)

Memory
18.5MiB live, 158.9MiB allocated; 13ms collecting garbage
Compiler

Compiled 15 000 to 2 182 computations (85.5% saved)

prune22.0ms (0.2%)

Memory
9.7MiB live, 61.5MiB allocated; 5ms collecting garbage
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New37214386
Fresh134
Picked505
Done000
Total37817395
Accuracy
99.5%
Counts
395 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (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 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))))))
97.4%
(*.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
97.5%
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
6.1%
(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 (-.f64 (exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
6.8%
(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))))))))
6.0%
(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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
2.1%
(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(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64))))) (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)) #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))))))))
96.2%
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64))))
97.4%
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
96.0%
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))))
7.3%
(log.f64 (pow.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 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
80.3%
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
79.0%
(log.f64 (pow.f64 #s(approx (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
96.1%
#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 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
96.0%
#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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #s(literal -4 binary64)))
96.0%
#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 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64)))
Compiler

Compiled 1 342 to 870 computations (35.2% saved)

series271.0ms (2.7%)

Memory
8.3MiB live, 669.1MiB allocated; 56ms collecting garbage
Counts
72 → 121
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
#s(literal -4 binary64)
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64))
(log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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)
(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(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 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 4 binary64)
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64))))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64)))
(/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64))
(log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))
(cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
#s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))))
(*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))))
#s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))
(+.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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 2 binary64)
(neg.f64 (*.f64 f (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))
(*.f64 f (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/32 binary64)
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Calls

3 calls:

TimeVariablePointExpression
104.0ms
f
@0
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83.0ms
f
@-inf
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74.0ms
f
@inf
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rewrite271.0ms (2.7%)

Memory
26.0MiB live, 358.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081213576
09048205
165818145
087677783
1211157783
Stop Event
iter-limit
node-limit
iter-limit
Counts
193 → 504
Calls
Call 1
Inputs
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f
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Outputs
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#s(approx (* 4 (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (PI.f64)))
#s(approx (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
#s(approx (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(approx (cosh (* (* 1/4 (PI)) f)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))))))
#s(approx (+ (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))) (PI.f64)))
#s(approx (/ (neg (log f)) (PI)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))
#s(approx (neg (log f)) (neg.f64 (log.f64 f)))
#s(approx (log f) (neg.f64 (neg.f64 (log.f64 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 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (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 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
#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 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)))))
#s(approx (exp (* (/ (PI) 4) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64))))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (/.f64 (PI.f64) f) #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 f f)))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64) (fma.f64 (/.f64 (PI.f64) f) #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 f f)))) (*.f64 f f)))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (fma.f64 (/.f64 (PI.f64) f) #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f))
#s(approx (exp (neg (* (/ (PI) 4) f))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) 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 (+ (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 1/2 (PI)) (PI)))))) (/ (neg (log f)) (PI))) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 f)))) #s(literal 0 binary64)) (PI.f64))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))
#s(approx (/ (neg (log f)) (PI)) (neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 f)))) #s(literal 0 binary64)) (PI.f64))))
#s(approx (neg (log f)) (neg.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 f)))) #s(literal 0 binary64))))
#s(approx (log f) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 f)))) #s(literal 0 binary64)))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) f)) f))) (*.f64 f f)))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (neg.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) f) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f)))

eval68.0ms (0.7%)

Memory
0.9MiB live, 191.5MiB allocated; 13ms collecting garbage
Compiler

Compiled 12 841 to 2 997 computations (76.7% saved)

prune26.0ms (0.3%)

Memory
-23.5MiB live, 69.8MiB allocated; 4ms collecting garbage
Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New39312405
Fresh4812
Picked325
Done000
Total40022422
Accuracy
99.6%
Counts
422 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))))))))
7.3%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (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 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))))))
97.4%
(*.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
97.5%
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
96.2%
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
96.6%
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
97.4%
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
6.1%
(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 (-.f64 (exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
6.8%
(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))))))))
95.4%
(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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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)) #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))))))))
96.0%
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (fma.f64 (neg.f64 (log.f64 f)) (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))))
95.7%
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))) (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))) (-.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))))))
95.8%
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))) (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))))))))
96.0%
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (log.f64 f))))))))
96.0%
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 1/2 (PI)) (PI)))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))))
7.3%
(log.f64 (pow.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 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
80.3%
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
79.0%
(log.f64 (pow.f64 #s(approx (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
96.1%
#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 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
96.0%
#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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) #s(literal -4 binary64)))
96.0%
#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 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64)))
Compiler

Compiled 1 822 to 1 177 computations (35.4% saved)

series143.0ms (1.4%)

Memory
0.8MiB live, 256.7MiB allocated; 111ms collecting garbage
Counts
60 → 97
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
#s(literal -4 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
#s(literal 1 binary64)
(/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(PI.f64)
(log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))
#s(literal -1/4 binary64)
(*.f64 (PI.f64) f)
f
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#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 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64)))
(*.f64 (*.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64))
(*.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64))
(log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))
(/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))
#s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#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)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
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(log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
(/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
(+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))
(*.f64 (*.f64 (PI.f64) (PI.f64)) f)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/32 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)
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.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 (+.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 (* -4 (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (* -4 (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))))) #s(hole binary64 (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* 4 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
#s(approx (* -4 (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))))) #s(hole binary64 (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))))
#s(approx (* -4 (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))))) #s(hole binary64 (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* f (+ (* -2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* -2/3 (/ (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (PI))))))))))
#s(approx (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))))) #s(hole binary64 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
#s(approx (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))))) #s(hole binary64 (+ (* -1 (/ (log f) (PI))) (+ (* -1 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))
#s(approx (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))))) #s(hole binary64 (+ (* -1 (/ (log f) (PI))) (+ (* f (+ (* -1 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))))) (/ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))
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#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 (* -4 (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))))) #s(hole binary64 (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))))) #s(hole binary64 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
#s(approx (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))) #s(hole binary64 (/ (PI) (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))))
#s(approx (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))) #s(hole binary64 (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
#s(approx (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))) #s(hole binary64 (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (cosh (* -1/4 (* (PI) f))) #s(hole binary64 (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))))
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#s(approx (* (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (PI))) -4) #s(hole binary64 (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))))
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#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ 1 f)) (log (/ 4 (PI))))))
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#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 (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) #s(hole binary64 (* 1/32 (* (pow f 2) (pow (PI) 2)))))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* 1/4 (/ (PI) f))))))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (+ (* 1/4 (/ (PI) f)) (/ 1 (pow f 2)))))))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) #s(hole binary64 (* f (+ (* 1/32 (pow (PI) 2)) (* 1/4 (/ (PI) f))))))
#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))))))))
#s(approx (+ (* (* (PI) f) 1/4) 1) #s(hole binary64 (* f (+ (* 1/4 (PI)) (/ 1 f)))))
#s(approx (* (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (PI))) -4) #s(hole binary64 (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))))
#s(approx (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (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 (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* -1 (/ (- (* -1/4 (PI)) (/ 1 f)) f)) (* 1/32 (pow (PI) 2))))))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) #s(hole binary64 (* -1 (* f (+ (* -1/4 (/ (PI) f)) (* -1/32 (pow (PI) 2)))))))
#s(approx (+ (* (* (PI) f) 1/4) 1) #s(hole binary64 (* -1 (* f (- (* -1/4 (PI)) (/ 1 f))))))
Calls

3 calls:

TimeVariablePointExpression
61.0ms
f
@0
((* -4 (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))))) -4 (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))))) 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))) (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))) (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))) (cosh (* -1/4 (* (PI) f))) (* -1/4 (* (PI) f)) -1/4 (* (PI) f) f (sinh (* (* (PI) 1/4) f)) (* (* (PI) 1/4) f) (* (PI) 1/4) 1/4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (PI))) -4) (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (PI))) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* (PI) f)) 4 (/ 1 (PI)) (* -4 (/ (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* 1/4 (PI)) f)))) (PI))) (/ (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* 1/4 (PI)) f)))) (PI)) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* 1/4 (PI)) f)))) (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* 1/4 (PI)) f))) (sinh (* (* 1/4 (PI)) f)) (* (* (* 1/2 (PI)) f) 1/2) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (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)) (/ (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)) (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (* (* (* (PI) (PI)) f) 1/32) (* (* (PI) (PI)) f) (* (PI) (PI)) 1/32 (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (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))))))) (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) f) 1/4) 1) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
41.0ms
f
@-inf
((* -4 (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))))) -4 (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))))) 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))) (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))) (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))) (cosh (* -1/4 (* (PI) f))) (* -1/4 (* (PI) f)) -1/4 (* (PI) f) f (sinh (* (* (PI) 1/4) f)) (* (* (PI) 1/4) f) (* (PI) 1/4) 1/4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (PI))) -4) (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (PI))) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* (PI) f)) 4 (/ 1 (PI)) (* -4 (/ (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* 1/4 (PI)) f)))) (PI))) (/ (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* 1/4 (PI)) f)))) (PI)) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* 1/4 (PI)) f)))) (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* 1/4 (PI)) f))) (sinh (* (* 1/4 (PI)) f)) (* (* (* 1/2 (PI)) f) 1/2) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (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)) (/ (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)) (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (* (* (* (PI) (PI)) f) 1/32) (* (* (PI) (PI)) f) (* (PI) (PI)) 1/32 (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (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))))))) (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) f) 1/4) 1) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
33.0ms
f
@inf
((* -4 (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))))) -4 (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))))) 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))) (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))) (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))) (cosh (* -1/4 (* (PI) f))) (* -1/4 (* (PI) f)) -1/4 (* (PI) f) f (sinh (* (* (PI) 1/4) f)) (* (* (PI) 1/4) f) (* (PI) 1/4) 1/4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (PI))) -4) (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (PI))) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* (PI) f)) 4 (/ 1 (PI)) (* -4 (/ (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* 1/4 (PI)) f)))) (PI))) (/ (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* 1/4 (PI)) f)))) (PI)) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* 1/4 (PI)) f)))) (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* 1/4 (PI)) f))) (sinh (* (* 1/4 (PI)) f)) (* (* (* 1/2 (PI)) f) 1/2) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (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)) (/ (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)) (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (* (* (* (PI) (PI)) f) 1/32) (* (* (PI) (PI)) f) (* (PI) (PI)) 1/32 (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (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))))))) (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) f) 1/4) 1) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite387.0ms (3.9%)

Memory
56.5MiB live, 347.2MiB allocated; 118ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071210693
07857522
155117479
081637205
1210467205
Stop Event
iter-limit
node-limit
iter-limit
Counts
157 → 381
Calls
Call 1
Inputs
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
#s(literal -4 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
#s(literal 1 binary64)
(/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(PI.f64)
(log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))
#s(literal -1/4 binary64)
(*.f64 (PI.f64) f)
f
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#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 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64)))
(*.f64 (*.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64))
(*.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
#s(literal 4 binary64)
(/.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
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#s(approx (* (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (PI))) -4) #s(hole binary64 (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))))
#s(approx (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (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 (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* -1 (/ (- (* -1/4 (PI)) (/ 1 f)) f)) (* 1/32 (pow (PI) 2))))))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) #s(hole binary64 (* -1 (* f (+ (* -1/4 (/ (PI) f)) (* -1/32 (pow (PI) 2)))))))
#s(approx (+ (* (* (PI) f) 1/4) 1) #s(hole binary64 (* -1 (* f (- (* -1/4 (PI)) (/ 1 f))))))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
#s(literal -4 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(log.f64 (pow.f64 (fabs.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (/.f64 #s(literal 1 binary64) (PI.f64))))
#s(literal 1 binary64)
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))) (PI.f64)))
(PI.f64)
(log.f64 (fabs.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
(log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (neg.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f)))
(/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f))) (exp.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f))))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f))))
(cosh.f64 (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f)))
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f))
(*.f64 (*.f64 #s(literal -1/4 binary64) f) (PI.f64))
(*.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))) f)
(*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f)
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 f))
(*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 (PI.f64) f)))
(*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))
(neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))
#s(literal -1/4 binary64)
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
f
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 2 binary64))
(sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)
(*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) f))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) f))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
(*.f64 f (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
(log.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -4 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))
(log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64))))
#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 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64))
(*.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (*.f64 (/.f64 #s(literal 1 binary64) (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 (PI.f64) f)))) (PI.f64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (*.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal 1 binary64)) (PI.f64))
(/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64))
(log.f64 (pow.f64 (fabs.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(log.f64 (pow.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (PI.f64))))
(log.f64 (fabs.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) f)))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 (PI.f64) f)))
#s(literal 4 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(pow.f64 (PI.f64) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))))
(log.f64 (fabs.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))))
(log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))
(*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (/.f64 #s(literal 1 binary64) #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (neg.f64 #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))
(/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
#s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) f) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 f #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/2 binary64) f) (PI.f64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/2 binary64) (*.f64 (PI.f64) f))
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))
(*.f64 f (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/2 binary64) f)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (*.f64 (PI.f64) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64))))))
(neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (PI.f64) #s(literal 1/4 binary64) (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 (PI.f64) #s(literal 1/4 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (PI.f64) (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(fma.f64 #s(literal 1/4 binary64) (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(-.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
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#s(approx (cosh (* -1/4 (* (PI) f))) #s(literal 1 binary64))
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#s(approx (* -1/4 (* (PI) f)) (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f))
#s(approx (* (PI) f) (*.f64 (PI.f64) f))
#s(approx f f)
#s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 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 f (fma.f64 (/.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) f (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) f)) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64))
#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)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 (PI.f64) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f #s(literal 2 binary64)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 (PI.f64) #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 0 binary64)) f (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64)))) f)) f #s(literal 2 binary64)))
#s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f #s(literal 1 binary64)))
#s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/32 binary64) f) (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64)))
#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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f (*.f64 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64)))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (fma.f64 (*.f64 #s(literal 1/32 binary64) f) (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
#s(approx (* (* (* (PI) (PI)) f) 1/32) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64)))
#s(approx (* (* (PI) (PI)) f) (*.f64 (*.f64 (PI.f64) (PI.f64)) f))
#s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f #s(literal 1 binary64)))
#s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 (PI.f64) #s(literal -1/4 binary64))) f #s(literal 1 binary64)))
#s(approx (exp (neg (* (/ (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f (*.f64 (PI.f64) #s(literal -1/4 binary64))) f #s(literal 1 binary64)))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (fma.f64 (PI.f64) #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/192 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (*.f64 f f) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/384 binary64))) (*.f64 #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/384 binary64) (*.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/41287680 binary64)) (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/122880 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/122880 binary64))) (*.f64 f f))) (*.f64 #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (*.f64 f f) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (*.f64 (PI.f64) #s(literal -1/4 binary64))) f))
#s(approx (* -4 (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ 1 (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))))) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (PI.f64)))
#s(approx (/ (PI) (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))))) (/.f64 (PI.f64) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))))
#s(approx (log (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f)))) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
#s(approx (/ (cosh (* -1/4 (* (PI) f))) (sinh (* (* (PI) 1/4) f))) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(approx (cosh (* -1/4 (* (PI) f))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(approx (sinh (* (* (PI) 1/4) f)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) #s(literal 1/2 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 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (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))) (/ 1 (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 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))) (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 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
#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 (PI.f64) #s(literal 1/4 binary64)) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
#s(approx (exp (* (/ (PI) 4) f)) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64))))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (/.f64 (PI.f64) f) #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 f f)))
#s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64) (fma.f64 (/.f64 (PI.f64) f) #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 f f)))) (*.f64 f f)))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (fma.f64 (/.f64 (PI.f64) f) #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f))
#s(approx (exp (neg (* (/ (PI) 4) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f)))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))
#s(approx (+ (* (* (PI) f) 1/4) 1) (fma.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f #s(literal 1 binary64)))
#s(approx (* (* (log (/ 2 (* (* (PI) 1/2) f))) (/ 1 (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))) (/ 1 (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 (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) f)) f))) (*.f64 f f)))
#s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (neg.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) f) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f)))
#s(approx (+ (* (* (PI) f) 1/4) 1) (neg.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) f)) f)))

eval84.0ms (0.8%)

Memory
-18.5MiB live, 155.6MiB allocated; 38ms collecting garbage
Compiler

Compiled 11 185 to 2 586 computations (76.9% saved)

prune109.0ms (1.1%)

Memory
-5.9MiB live, 95.2MiB allocated; 91ms collecting garbage
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New3888396
Fresh51015
Picked415
Done022
Total39721418
Accuracy
99.6%
Counts
418 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
97.4%
(*.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
97.5%
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
96.6%
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
96.2%
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* -1/4 (* (PI) f))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
97.0%
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f)))))))
97.3%
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
6.1%
(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 (-.f64 (exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
95.4%
(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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
96.1%
(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)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) 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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) 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)) #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))))))))
96.1%
(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 (fma.f64 (PI.f64) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
96.0%
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (fma.f64 (neg.f64 (log.f64 f)) (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))))
95.8%
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))) (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))))))))
96.0%
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (log.f64 f))))))))
96.0%
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 1/2 (PI)) (PI)))))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))))
80.3%
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
96.1%
#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 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
96.0%
#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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) #s(literal -4 binary64)))
96.0%
#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 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -4 binary64)))
96.0%
#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 (log.f64 (pow.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal -4 binary64)))
Compiler

Compiled 1 884 to 948 computations (49.7% saved)

regimes67.0ms (0.7%)

Memory
35.3MiB live, 123.5MiB allocated; 13ms collecting garbage
Counts
44 → 2
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 (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 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) #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 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #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(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 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(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 (pow.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* -1/4 (* (PI) f))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(log.f64 (pow.f64 #s(approx (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (fma.f64 (neg.f64 (log.f64 f)) (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 (fma.f64 (PI.f64) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) 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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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)))) (*.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 (+.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))))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (log.f64 f))))))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f)))))))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #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 (*.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 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) 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)) #s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64))))) (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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (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 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))))))
(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))))))))
(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))))))))
(log.f64 (pow.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 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (neg.f64 (/.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 (+.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 f)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (/.f64 (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))) (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))) (-.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))) (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))))))))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
(log.f64 (pow.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 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
Calls

6 calls:

18.0ms
f
12.0ms
(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))))))
10.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
(*.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)))))))
8.0ms
(/.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
99.1%2(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.5%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)))))
97.5%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))))))
97.5%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)))))))
99.1%2(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))))))))
99.1%2f
Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes42.0ms (0.4%)

Memory
-4.7MiB live, 46.0MiB allocated; 17ms collecting garbage
Counts
40 → 2
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 (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 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) #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 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #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(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 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(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 (pow.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* -1/4 (* (PI) f))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(log.f64 (pow.f64 #s(approx (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (fma.f64 (neg.f64 (log.f64 f)) (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 (fma.f64 (PI.f64) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) 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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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)))) (*.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 (+.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))))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (log.f64 f))))))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f)))))))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #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 (*.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 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) 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)) #s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64))))) (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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (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 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))))))
(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))))))))
(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))))))))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (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 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))))))
Calls

3 calls:

23.0ms
f
10.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms
(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))))))))
Results
AccuracySegmentsBranch
99.1%2(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
99.1%2(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))))))))
99.1%2f
Compiler

Compiled 40 to 22 computations (45% saved)

regimes28.0ms (0.3%)

Memory
-5.2MiB live, 43.2MiB allocated; 3ms collecting garbage
Counts
37 → 2
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 (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 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) #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 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #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(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 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(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 (pow.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* -1/4 (* (PI) f))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(log.f64 (pow.f64 #s(approx (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (fma.f64 (neg.f64 (log.f64 f)) (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 (fma.f64 (PI.f64) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) 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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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)))) (*.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 (+.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))))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (log.f64 f))))))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f)))))))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #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 (*.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 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) 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)) #s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) f) 1) (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64))))) (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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64)))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))))))))
Calls

3 calls:

10.0ms
f
9.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms
(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))))))))
Results
AccuracySegmentsBranch
99.1%2(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
99.1%2(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))))))))
99.1%2f
Compiler

Compiled 40 to 22 computations (45% saved)

regimes26.0ms (0.3%)

Memory
-6.7MiB live, 38.9MiB allocated; 2ms collecting garbage
Counts
34 → 2
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 (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 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) #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 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #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(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 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(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 (pow.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* -1/4 (* (PI) f))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(log.f64 (pow.f64 #s(approx (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (fma.f64 (neg.f64 (log.f64 f)) (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 (fma.f64 (PI.f64) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) 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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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)))) (*.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 (+.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))))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (log.f64 f))))))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f)))))))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #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 (*.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))))))))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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))))))))
Calls

3 calls:

8.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
f
7.0ms
(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))))))))
Results
AccuracySegmentsBranch
99.1%2(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
99.1%2(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))))))))
99.1%2f
Compiler

Compiled 40 to 22 computations (45% saved)

regimes25.0ms (0.2%)

Memory
-6.3MiB live, 39.2MiB allocated; 3ms collecting garbage
Counts
33 → 2
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 (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 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) #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 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #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(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 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(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 (pow.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* -1/4 (* (PI) f))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(log.f64 (pow.f64 #s(approx (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (fma.f64 (neg.f64 (log.f64 f)) (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 (fma.f64 (PI.f64) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) 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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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)))) (*.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 (+.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))))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (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 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (log.f64 f))))))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f)))))))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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)) #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))))))))
Calls

3 calls:

9.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
f
6.0ms
(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))))))))
Results
AccuracySegmentsBranch
99.1%2(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
99.1%2(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))))))))
99.1%2f
Compiler

Compiled 40 to 22 computations (45% saved)

regimes38.0ms (0.4%)

Memory
14.5MiB live, 63.6MiB allocated; 6ms collecting garbage
Counts
27 → 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 (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 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) #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 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #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(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 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(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 (pow.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* -1/4 (* (PI) f))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(log.f64 (pow.f64 #s(approx (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (fma.f64 (neg.f64 (log.f64 f)) (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 (fma.f64 (PI.f64) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 (PI.f64) #s(literal -1/4 binary64)) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))
(*.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (PI.f64) #s(literal 1/4 binary64))) 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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f)) (sinh.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/4 binary64)) f))))))))
(*.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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) 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 #s(approx (+ (* 1/32 (* (* (PI) (PI)) f)) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) 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)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
Calls

6 calls:

8.0ms
(*.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)))))))
7.0ms
f
7.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
5.0ms
(/.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)))))
5.0ms
(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
97.5%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)))))
97.5%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))))))
97.5%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)))))))
97.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.5%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))))))))
97.5%1f
Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes24.0ms (0.2%)

Memory
-8.1MiB live, 37.9MiB allocated; 3ms collecting garbage
Counts
16 → 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 (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 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) #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 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #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(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 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(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 (pow.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* -1/4 (* (PI) f))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(log.f64 (pow.f64 #s(approx (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (fma.f64 (neg.f64 (log.f64 f)) (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 (fma.f64 (PI.f64) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
Calls

6 calls:

5.0ms
(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
f
4.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) 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
(/.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
96.6%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.6%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)))))
96.6%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))))))
96.6%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)))))))
96.6%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))))))))
96.6%1f
Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes22.0ms (0.2%)

Memory
-11.5MiB live, 34.7MiB allocated; 2ms 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 (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 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) #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 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #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(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 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(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 (pow.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal -4 binary64)))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* -1/4 (* (PI) f))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(log.f64 (pow.f64 #s(approx (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f)))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (PI.f64) f))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
(neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))))) (PI.f64))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (fma.f64 (neg.f64 (log.f64 f)) (/.f64 #s(literal 1 binary64) (PI.f64)) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))) f (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))))))
Outputs
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 #s(approx (cosh (* -1/4 (* (PI) f))) (fma.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 f f)) (*.f64 (PI.f64) (PI.f64)) #s(literal 1 binary64))) #s(approx (sinh (* (* 1/4 (PI)) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64))))) (PI.f64)))
Calls

6 calls:

5.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
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)))))
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))))))
Results
AccuracySegmentsBranch
96.2%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.2%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)))))
96.2%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))))))
96.2%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)))))))
96.2%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))))))))
96.2%1f
Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes15.0ms (0.1%)

Memory
26.1MiB live, 26.1MiB allocated; 0ms collecting garbage
Accuracy

Total -0.4b remaining (-17%)

Threshold costs -0.4b (-17%)

Counts
9 → 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 (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 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) 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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))) #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 #s(literal 1/2 binary64) (PI.f64)) f))) (/.f64 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) #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(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 #s(literal 4 binary64) #s(approx (/ (log (* 1 (/ (cosh (* (* 1/4 (PI)) f)) (sinh (* (* 1/4 (PI)) f))))) (PI)) (+.f64 #s(approx (+ (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (neg (* f (/ (- (* (* (PI) (PI)) 1/32) (* (* (PI) (PI)) 1/32)) (* (* 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(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 (pow.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 #s(literal 1 binary64) (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 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (PI.f64)) #s(literal -4 binary64)))
Calls

6 calls:

3.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
3.0ms
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
(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
(/.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
96.1%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.1%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)))))
96.1%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))))))
96.1%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)))))))
96.1%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))))))))
96.1%1f
Compiler

Compiled 126 to 60 computations (52.4% saved)

bsearch22.0ms (0.2%)

Memory
-19.0MiB live, 26.9MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
7.135868764232409
24.836721148776686
Samples
14.0ms80×1valid
Compiler

Compiled 370 to 240 computations (35.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 4.0ms (32.6% of total)
ival-log: 3.0ms (24.4% of total)
adjust: 2.0ms (16.3% of total)
ival-neg: 1.0ms (8.1% of total)
ival-mult!: 1.0ms (8.1% of total)
ival-div!: 1.0ms (8.1% of total)
ival-pi: 0.0ms (0% of total)
ival-sub!: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
7.135868764232409
24.836721148776686
Compiler

Compiled 370 to 240 computations (35.1% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
7.135868764232409
24.836721148776686
Compiler

Compiled 445 to 270 computations (39.3% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
7.135868764232409
24.836721148776686
Compiler

Compiled 335 to 220 computations (34.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
7.135868764232409
24.836721148776686
Compiler

Compiled 300 to 205 computations (31.7% saved)

derivations499.0ms (5%)

Memory
16.9MiB live, 434.9MiB allocated; 110ms collecting garbage
Stop Event
fuel
Compiler

Compiled 316 to 131 computations (58.5% saved)

preprocess169.0ms (1.7%)

Memory
4.2MiB live, 141.3MiB allocated; 14ms collecting garbage
Remove

(abs f)

Compiler

Compiled 1 250 to 735 computations (41.2% saved)

end0.0ms (0%)

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

Profiling

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