VandenBroeck and Keller, Equation (20)

Time bar (total: 7.8s)

start0.0ms (0%)

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

analyze187.0ms (2.4%)

Memory
-17.9MiB live, 268.1MiB allocated; 71ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%37.5%0%4
0%0%56.2%0%0%43.7%0%5
0%0%53.1%0%0%46.9%0%6
3.1%1.6%48.4%0%0%50%0%7
3.2%1.6%47.6%0%0%50.8%0%8
4%2%47.2%0%0%50.8%0%9
4.8%2.3%46.7%0%0%51%0%10
5.2%2.5%46.4%0%0%51%0%11
5.3%2.6%46.2%0%0%51.1%0%12
Compiler

Compiled 39 to 18 computations (53.8% saved)

sample5.3s (68.1%)

Memory
95.1MiB live, 5 924.3MiB allocated; 2.6s collecting garbage
Samples
2.6s7 854×1valid
1.8s7 385×1invalid
156.0ms168×2valid
23.0ms234×0valid
1.0ms12×0invalid
0.0ms0exit
Precisions
Click to see histograms. Total time spent on operations: 3.9s
ival-exp: 1.8s (47.1% of total)
adjust: 517.0ms (13.3% of total)
ival-mult!: 515.0ms (13.2% of total)
ival-neg: 413.0ms (10.6% of total)
ival-log: 323.0ms (8.3% of total)
ival-div!: 134.0ms (3.4% of total)
ival-add!: 90.0ms (2.3% of total)
ival-sub!: 70.0ms (1.8% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

preprocess69.0ms (0.9%)

Memory
-9.4MiB live, 36.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02878
114654
271454
3474754
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
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))))))))
Compiler

Compiled 68 to 32 computations (52.9% saved)

series97.0ms (1.2%)

Memory
13.2MiB live, 106.8MiB allocated; 16ms collecting garbage
Counts
16 → 43
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI.f64)
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
Outputs
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#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 2))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/16 (* f (pow (PI) 2))) (* 1/4 (PI))))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/4 (PI)) (* f (+ (* 1/16 (pow (PI) 2)) (* f (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))))))))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 1))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* 1/4 (* f (PI))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* f (+ (* 1/32 (* f (pow (PI) 2))) (* 1/4 (PI)))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* f (+ (* 1/4 (PI)) (* f (+ (* 1/384 (* f (pow (PI) 3))) (* 1/32 (pow (PI) 2)))))))))
#s(approx (* (/ (PI) 4) f) #s(hole binary64 (* 1/4 (* f (PI)))))
#s(approx f #s(hole binary64 f))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 1))
#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)) #s(hole binary64 (exp (* 1/4 (* f (PI))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (exp (neg (* 1/4 (* f (PI)))))))
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Calls

3 calls:

TimeVariablePointExpression
48.0ms
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)))))
38.0ms
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)))))

rewrite209.0ms (2.7%)

Memory
17.1MiB live, 245.3MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03013547
03282177
121921783
095291717
Stop Event
iter-limit
node-limit
iter-limit
Counts
59 → 177
Calls
Call 1
Inputs
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(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
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#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 2))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/16 (* f (pow (PI) 2))) (* 1/4 (PI))))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/4 (PI)) (* f (+ (* 1/16 (pow (PI) 2)) (* f (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))))))))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 1))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* 1/4 (* f (PI))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* f (+ (* 1/32 (* f (pow (PI) 2))) (* 1/4 (PI)))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* f (+ (* 1/4 (PI)) (* f (+ (* 1/384 (* f (pow (PI) 3))) (* 1/32 (pow (PI) 2)))))))))
#s(approx (* (/ (PI) 4) f) #s(hole binary64 (* 1/4 (* f (PI)))))
#s(approx f #s(hole binary64 f))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 1))
#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))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(*.f64 #s(literal 4 binary64) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))) (neg.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (exp.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 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 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.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) (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal 1 binary64)))
(/.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)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 4 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.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)
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(-.f64 (log.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))) (log.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 1/2 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)))))
(pow.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) f) (PI.f64) (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64) (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
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#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 #s(literal 1/4 binary64) (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) 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 #s(literal 1/4 binary64) (PI.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 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
#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 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (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)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (tanh.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) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
#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)))))

eval27.0ms (0.3%)

Memory
1.9MiB live, 47.1MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 604 to 1 220 computations (73.5% saved)

prune12.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New16012172
Fresh000
Picked101
Done000
Total16112173
Accuracy
99.3%
Counts
173 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))))
96.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))))
97.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))))
3.8%
(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)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
6.5%
(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))))))))
6.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.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))))))))
96.4%
(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))))))
81.6%
(neg.f64 (log.f64 (exp.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64)))))
83.4%
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
81.6%
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64)))))
98.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
96.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (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 812 to 516 computations (36.5% saved)

series410.0ms (5.2%)

Memory
1.8MiB live, 467.3MiB allocated; 114ms collecting garbage
Counts
45 → 110
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 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(tanh.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)
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))
#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)
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
#s(literal 4 binary64)
(sqrt.f64 (PI.f64))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
#s(literal 1 binary64)
(neg.f64 (*.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 1 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)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
(*.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)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))))
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) #s(hole binary64 (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) #s(hole binary64 (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))))
#s(approx (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) #s(hole binary64 (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))))
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Calls

3 calls:

TimeVariablePointExpression
217.0ms
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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) (neg (log (tanh (* (* (PI) f) 1/4)))) (log (tanh (* (* (PI) f) 1/4))) (tanh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (* (PI) f) (PI) f 1/4 -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))) (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 (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI)))) (/ 4 (sqrt (PI))) 4 (sqrt (PI)) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))) (log (pow (/ 1 (tanh (* (* (PI) f) 1/4))) (neg (* (/ 1 (PI)) 4)))) (pow (/ 1 (tanh (* (* (PI) f) 1/4))) (neg (* (/ 1 (PI)) 4))) (/ 1 (tanh (* (* (PI) f) 1/4))) 1 (neg (* (/ 1 (PI)) 4)) (* (/ 1 (PI)) 4) (/ 1 (PI)) (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)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
149.0ms
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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) (neg (log (tanh (* (* (PI) f) 1/4)))) (log (tanh (* (* (PI) f) 1/4))) (tanh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (* (PI) f) (PI) f 1/4 -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))) (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 (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI)))) (/ 4 (sqrt (PI))) 4 (sqrt (PI)) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))) (log (pow (/ 1 (tanh (* (* (PI) f) 1/4))) (neg (* (/ 1 (PI)) 4)))) (pow (/ 1 (tanh (* (* (PI) f) 1/4))) (neg (* (/ 1 (PI)) 4))) (/ 1 (tanh (* (* (PI) f) 1/4))) 1 (neg (* (/ 1 (PI)) 4)) (* (/ 1 (PI)) 4) (/ 1 (PI)) (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)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
36.0ms
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)))))))) (* (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) -4) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (PI)) (neg (log (tanh (* (* (PI) f) 1/4)))) (log (tanh (* (* (PI) f) 1/4))) (tanh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (* (PI) f) (PI) f 1/4 -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))) (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 (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI)))) (/ 4 (sqrt (PI))) 4 (sqrt (PI)) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))) (log (pow (/ 1 (tanh (* (* (PI) f) 1/4))) (neg (* (/ 1 (PI)) 4)))) (pow (/ 1 (tanh (* (* (PI) f) 1/4))) (neg (* (/ 1 (PI)) 4))) (/ 1 (tanh (* (* (PI) f) 1/4))) 1 (neg (* (/ 1 (PI)) 4)) (* (/ 1 (PI)) 4) (/ 1 (PI)) (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)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite237.0ms (3%)

Memory
20.6MiB live, 251.1MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076110773
08257396
155557030
082426692
Stop Event
iter-limit
node-limit
iter-limit
Counts
155 → 339
Calls
Call 1
Inputs
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#s(approx (log (tanh (* (* (PI) f) 1/4))) #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 (tanh (* (* (PI) f) 1/4)) #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 (* (/ (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 (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) #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 (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI)))) #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 (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))) #s(hole binary64 (* -1 (* (sqrt (/ 1 (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 (pow (/ 1 (tanh (* (* (PI) f) 1/4))) (neg (* (/ 1 (PI)) 4)))) #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 (pow (/ 1 (tanh (* (* (PI) f) 1/4))) (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 (tanh (* (* (PI) f) 1/4))) #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 (* (/ 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))))))))
#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)))))
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 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64))) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64))) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64))
(/.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal -1 binary64))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(neg.f64 (log.f64 (/.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (log.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))) (log.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(neg.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(-.f64 (log.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (log.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
(-.f64 (log.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (log.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(+.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))
(log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))))
(pow.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))))
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (/.f64 (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(PI.f64)
f
#s(literal 1/4 binary64)
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.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)))))
(neg.f64 (log.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 2 binary64))))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 2 binary64))))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (log.f64 f))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 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)))
(*.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 f (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.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))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))) (*.f64 (PI.f64) #s(literal 0 binary64)))
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(fma.f64 #s(literal 1/4 binary64) (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(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 #s(literal 1/4 binary64) (PI.f64)))
(-.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
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(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64)))))
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#s(approx (pow (/ 1 (tanh (* (* (PI) f) 1/4))) (neg (* (/ 1 (PI)) 4))) (exp.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64))) #s(literal -4 binary64))))
#s(approx (/ 1 (tanh (* (* (PI) f) 1/4))) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#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 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64))) #s(literal 4 binary64)))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
#s(approx (exp (* (/ (PI) 4) f)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (exp (neg (* (/ (PI) 4) f))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #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)))))

eval89.0ms (1.1%)

Memory
-14.7MiB live, 84.9MiB allocated; 14ms collecting garbage
Compiler

Compiled 10 752 to 2 010 computations (81.3% saved)

prune26.0ms (0.3%)

Memory
11.7MiB live, 56.3MiB allocated; 5ms collecting garbage
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New36820388
Fresh527
Picked505
Done000
Total37822400
Accuracy
99.5%
Counts
400 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.8%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
98.0%
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (PI.f64))))
98.8%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))))
96.3%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64)))))
96.9%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)))))))
3.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))))))))
6.5%
(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))))))))
6.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.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))))))))
3.8%
(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 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
3.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
3.8%
(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)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
83.0%
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))
83.4%
(log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))))
81.4%
(log.f64 (pow.f64 #s(approx (/ 1 (tanh (* (* (PI) f) 1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
96.9%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64)))
98.9%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 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 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
96.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
98.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) #s(literal -4 binary64)))
96.5%
#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)))
96.4%
#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 1 492 to 1 034 computations (30.7% saved)

series178.0ms (2.3%)

Memory
7.4MiB live, 200.2MiB allocated; 55ms collecting garbage
Counts
40 → 117
Calls
Call 1
Inputs
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 4 binary64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))
(log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 f (PI.f64))
f
(PI.f64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64))
(/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64))
(log.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))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64)))
#s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(neg.f64 (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
(/.f64 #s(literal 4 binary64) (PI.f64))
(neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))))
(+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))
Outputs
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) #s(hole binary64 (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) #s(hole binary64 (- (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) #s(hole binary64 (- (* f (- (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) #s(hole binary64 (- (* f (- (* f (- (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* -2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))) (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))))
#s(approx (* (/ (log (tanh (* (* f (PI)) 1/4))) (PI)) 4) #s(hole binary64 (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))))
#s(approx (* (/ (log (tanh (* (* f (PI)) 1/4))) (PI)) 4) #s(hole binary64 (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))))
#s(approx (* (/ (log (tanh (* (* f (PI)) 1/4))) (PI)) 4) #s(hole binary64 (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))))
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#s(approx (/ (log (* (* 1/4 (PI)) f)) (PI)) #s(hole binary64 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI))))
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#s(approx (log (/ 4 (* f (PI)))) #s(hole binary64 (+ (log (/ -4 (PI))) (log (/ -1 f)))))
Calls

3 calls:

TimeVariablePointExpression
77.0ms
f
@-inf
((neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ (log (tanh (* (* f (PI)) 1/4))) (PI)) 4) (/ (log (tanh (* (* f (PI)) 1/4))) (PI)) (log (tanh (* (* f (PI)) 1/4))) (tanh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 4 (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ (log (* (* 1/4 (PI)) f)) (PI)) 4) (/ (log (* (* 1/4 (PI)) f)) (PI)) (log (* (* 1/4 (PI)) f)) (* (* 1/4 (PI)) f) (* 1/4 (PI)) (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI)))) (/ 4 (sqrt (PI))) (sqrt (PI)) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))) (neg (log (tanh (* (* (PI) f) 1/4)))) (log (/ 4 (* f (PI)))) (/ 4 (* f (PI))) (neg (/ (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (sqrt (PI)))) (/ (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (sqrt (PI))) (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI)))) (neg (sqrt (PI))) (* (/ 4 (PI)) (neg (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ 4 (PI)) (neg (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))) 1 (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))
64.0ms
f
@inf
((neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ (log (tanh (* (* f (PI)) 1/4))) (PI)) 4) (/ (log (tanh (* (* f (PI)) 1/4))) (PI)) (log (tanh (* (* f (PI)) 1/4))) (tanh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 4 (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ (log (* (* 1/4 (PI)) f)) (PI)) 4) (/ (log (* (* 1/4 (PI)) f)) (PI)) (log (* (* 1/4 (PI)) f)) (* (* 1/4 (PI)) f) (* 1/4 (PI)) (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI)))) (/ 4 (sqrt (PI))) (sqrt (PI)) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))) (neg (log (tanh (* (* (PI) f) 1/4)))) (log (/ 4 (* f (PI)))) (/ 4 (* f (PI))) (neg (/ (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (sqrt (PI)))) (/ (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (sqrt (PI))) (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI)))) (neg (sqrt (PI))) (* (/ 4 (PI)) (neg (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ 4 (PI)) (neg (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))) 1 (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))
30.0ms
f
@0
((neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ (log (tanh (* (* f (PI)) 1/4))) (PI)) 4) (/ (log (tanh (* (* f (PI)) 1/4))) (PI)) (log (tanh (* (* f (PI)) 1/4))) (tanh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 4 (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ (log (* (* 1/4 (PI)) f)) (PI)) 4) (/ (log (* (* 1/4 (PI)) f)) (PI)) (log (* (* 1/4 (PI)) f)) (* (* 1/4 (PI)) f) (* 1/4 (PI)) (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI)))) (/ 4 (sqrt (PI))) (sqrt (PI)) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))) (neg (log (tanh (* (* (PI) f) 1/4)))) (log (/ 4 (* f (PI)))) (/ 4 (* f (PI))) (neg (/ (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (sqrt (PI)))) (/ (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (sqrt (PI))) (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI)))) (neg (sqrt (PI))) (* (/ 4 (PI)) (neg (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/ 4 (PI)) (neg (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))) 1 (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite197.0ms (2.5%)

Memory
-0.3MiB live, 277.4MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067410216
07356774
149116645
081426338
Stop Event
iter-limit
node-limit
iter-limit
Counts
157 → 356
Calls
Call 1
Inputs
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(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 f (PI.f64))
f
(PI.f64)
#s(literal 1/4 binary64)
#s(literal 4 binary64)
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#s(approx (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 f (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) f (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) f)) (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f))
#s(approx (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64))
#s(approx (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) f #s(literal 2 binary64)))
#s(approx (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64)))
#s(approx (+ (exp (* (* 1/4 (PI)) 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 (* (* 1/4 (PI)) f)) #s(literal 1 binary64))
#s(approx (exp (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
#s(approx (exp (* (* 1/4 (PI)) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))
#s(approx (exp (* (* 1/4 (PI)) f)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) f) #s(literal 1/384 binary64) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))
#s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #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 #s(literal -1/4 binary64) (PI.f64))) 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 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))
#s(approx (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))
#s(approx (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (PI.f64) (-.f64 (*.f64 (*.f64 f f) (*.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) f))
#s(approx (- (exp (* (* 1/4 (PI)) 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 #s(literal 1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (*.f64 #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f))
#s(approx (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.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 #s(literal 1/4 binary64) (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f))
#s(approx (neg (/ (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (sqrt (PI)))) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
#s(approx (* (/ 4 (PI)) (neg (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
#s(approx (/ (log (tanh (* (* f (PI)) 1/4))) (PI)) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))
#s(approx (neg (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))))))) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (tanh (* (* f (PI)) 1/4)) (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (* (/ (log (* (* 1/4 (PI)) f)) (PI)) 4) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (/ (log (* (* 1/4 (PI)) f)) (PI)) (/.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (PI.f64)))
#s(approx (log (* (* 1/4 (PI)) f)) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (/ (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (sqrt (PI))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI)))) (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
#s(approx (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (log (/ 4 (* f (PI)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (neg (/ (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (sqrt (PI)))) (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
#s(approx (/ (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (sqrt (PI))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* 4 (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI))))) (*.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) #s(literal -4 binary64)))
#s(approx (/ (log (tanh (* (* f (PI)) 1/4))) (neg (sqrt (PI)))) (neg.f64 (*.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
#s(approx (* (/ 4 (PI)) (neg (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64))) #s(literal -4 binary64)))
#s(approx (neg (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))))))) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
#s(approx (exp (* (* 1/4 (PI)) f)) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (exp (neg (* (/ (PI) 4) f))) (exp.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))
#s(approx (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (* (/ (log (* (* 1/4 (PI)) f)) (PI)) 4) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal -1 binary64) f) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (/ (log (* (* 1/4 (PI)) f)) (PI)) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal -1 binary64) f) (*.f64 #s(literal -1/4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (log (* (* 1/4 (PI)) f)) (log.f64 (*.f64 (*.f64 #s(literal -1 binary64) f) (*.f64 #s(literal -1/4 binary64) (PI.f64)))))
#s(approx (log (/ 4 (* f (PI)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))))

eval73.0ms (0.9%)

Memory
-25.2MiB live, 74.1MiB allocated; 13ms collecting garbage
Compiler

Compiled 9 458 to 2 019 computations (78.7% saved)

prune28.0ms (0.4%)

Memory
-0.8MiB live, 43.3MiB allocated; 5ms collecting garbage
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New34715362
Fresh11617
Picked055
Done000
Total35826384
Accuracy
99.5%
Counts
384 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.8%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
3.8%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(approx (exp (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
3.1%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(approx (exp (* (* 1/4 (PI)) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (* 1/4 (PI)) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
3.8%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 #s(approx (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
96.4%
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) (sqrt.f64 (PI.f64))))
98.0%
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (PI.f64))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))) (/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))))
96.3%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64)))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 #s(approx (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
6.5%
(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))))))))
6.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.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))))))))
83.0%
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))
96.9%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64)))
97.0%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (fma.f64 (log.f64 f) (PI.f64) (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64)))
96.9%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (-.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 #s(literal 4 binary64))) (PI.f64)) #s(literal 4 binary64)))
97.0%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)))
96.9%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64)))
98.9%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 4 binary64)))
96.8%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))
98.8%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal 4 binary64)))
96.9%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) #s(literal 4 binary64)))
96.8%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64)))
83.4%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.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 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
96.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
Compiler

Compiled 1 605 to 1 178 computations (26.6% saved)

series180.0ms (2.3%)

Memory
47.6MiB live, 234.2MiB allocated; 25ms collecting garbage
Counts
41 → 90
Calls
Call 1
Inputs
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal 4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(literal 1 binary64)
(/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(PI.f64)
(log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 f (PI.f64))
f
#s(literal 1/4 binary64)
#s(literal 4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
#s(literal -4 binary64)
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64))
(/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64))
(+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(log.f64 f)
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64)))
(*.f64 (fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64))
(fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))) (/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))) (/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))
#s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
Outputs
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) #s(hole binary64 (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) #s(hole binary64 (- (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) #s(hole binary64 (- (* f (- (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) #s(hole binary64 (- (* f (- (* f (- (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* -2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))) (* -8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (* -4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))))
#s(approx (* (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) 4) #s(hole binary64 (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))))
#s(approx (* (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) 4) #s(hole binary64 (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))))
#s(approx (* (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) 4) #s(hole binary64 (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))))
#s(approx (* (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) 4) #s(hole binary64 (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))))
#s(approx (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) #s(hole binary64 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))))
#s(approx (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) #s(hole binary64 (+ (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (+ (/ (log f) (PI)) (/ (log (* 1/4 (PI))) (PI))))))
#s(approx (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) #s(hole binary64 (+ (* f (+ (* 1/2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))) (+ (/ (log f) (PI)) (/ (log (* 1/4 (PI))) (PI))))))
#s(approx (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) #s(hole binary64 (+ (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 1/6 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 1/2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))) (+ (/ (log f) (PI)) (/ (log (* 1/4 (PI))) (PI))))))
#s(approx (/ (PI) (log (tanh (* (* f (PI)) 1/4)))) #s(hole binary64 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))))
#s(approx (/ (PI) (log (tanh (* (* f (PI)) 1/4)))) #s(hole binary64 (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (/ (PI) (+ (log f) (log (* 1/4 (PI))))))))
#s(approx (/ (PI) (log (tanh (* (* f (PI)) 1/4)))) #s(hole binary64 (+ (* f (- (* -1 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))) (/ (PI) (+ (log f) (log (* 1/4 (PI))))))))
#s(approx (/ (PI) (log (tanh (* (* f (PI)) 1/4)))) #s(hole binary64 (+ (* f (- (* f (- (* -1 (* f (+ (* -2 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (+ (log f) (log (* 1/4 (PI))))))) (+ (* -1 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 3))) (* 1/6 (/ (* (PI) (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))) (/ (PI) (+ (log f) (log (* 1/4 (PI))))))))
#s(approx (log (tanh (* (* f (PI)) 1/4))) #s(hole binary64 (+ (log f) (log (* 1/4 (PI))))))
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#s(approx (log (/ 4 (* f (PI)))) #s(hole binary64 (+ (log (/ -4 (PI))) (log (/ -1 f)))))
Calls

3 calls:

TimeVariablePointExpression
81.0ms
f
@inf
((neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) 4) (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4)))) (PI) (log (tanh (* (* f (PI)) 1/4))) (tanh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f 1/4 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))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) -4 (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ (+ (log (* 1/4 (PI))) (log f)) (PI)) 4) (/ (+ (log (* 1/4 (PI))) (log f)) (PI)) (+ (log (* 1/4 (PI))) (log f)) (log (* 1/4 (PI))) (* 1/4 (PI)) (log f) (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) 4) (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) (/ 1 (PI)) (/ (log (* 1/4 (PI))) (PI)) (neg (* (/ 4 (/ 1 (/ 1 (sqrt (PI))))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (/ 1 (/ 1 (sqrt (PI))))))) (* (/ 4 (/ 1 (/ 1 (sqrt (PI))))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (/ 1 (/ 1 (sqrt (PI)))))) (/ 4 (/ 1 (/ 1 (sqrt (PI))))) (/ 1 (/ 1 (sqrt (PI)))) (/ 1 (sqrt (PI))) (sqrt (PI)) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (/ 1 (/ 1 (sqrt (PI))))) (neg (log (tanh (* (* (PI) f) 1/4)))) (log (/ 4 (* f (PI)))))
59.0ms
f
@-inf
((neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) 4) (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4)))) (PI) (log (tanh (* (* f (PI)) 1/4))) (tanh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f 1/4 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))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) -4 (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ (+ (log (* 1/4 (PI))) (log f)) (PI)) 4) (/ (+ (log (* 1/4 (PI))) (log f)) (PI)) (+ (log (* 1/4 (PI))) (log f)) (log (* 1/4 (PI))) (* 1/4 (PI)) (log f) (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) 4) (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) (/ 1 (PI)) (/ (log (* 1/4 (PI))) (PI)) (neg (* (/ 4 (/ 1 (/ 1 (sqrt (PI))))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (/ 1 (/ 1 (sqrt (PI))))))) (* (/ 4 (/ 1 (/ 1 (sqrt (PI))))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (/ 1 (/ 1 (sqrt (PI)))))) (/ 4 (/ 1 (/ 1 (sqrt (PI))))) (/ 1 (/ 1 (sqrt (PI)))) (/ 1 (sqrt (PI))) (sqrt (PI)) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (/ 1 (/ 1 (sqrt (PI))))) (neg (log (tanh (* (* (PI) f) 1/4)))) (log (/ 4 (* f (PI)))))
35.0ms
f
@0
((neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) 4) (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4)))) (PI) (log (tanh (* (* f (PI)) 1/4))) (tanh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f 1/4 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))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) -4 (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (/ (+ (log (* 1/4 (PI))) (log f)) (PI)) 4) (/ (+ (log (* 1/4 (PI))) (log f)) (PI)) (+ (log (* 1/4 (PI))) (log f)) (log (* 1/4 (PI))) (* 1/4 (PI)) (log f) (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (* (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) 4) (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) (/ 1 (PI)) (/ (log (* 1/4 (PI))) (PI)) (neg (* (/ 4 (/ 1 (/ 1 (sqrt (PI))))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (/ 1 (/ 1 (sqrt (PI))))))) (* (/ 4 (/ 1 (/ 1 (sqrt (PI))))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (/ 1 (/ 1 (sqrt (PI)))))) (/ 4 (/ 1 (/ 1 (sqrt (PI))))) (/ 1 (/ 1 (sqrt (PI)))) (/ 1 (sqrt (PI))) (sqrt (PI)) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (/ 1 (/ 1 (sqrt (PI))))) (neg (log (tanh (* (* (PI) f) 1/4)))) (log (/ 4 (* f (PI)))))

rewrite242.0ms (3.1%)

Memory
-49.4MiB live, 265.8MiB allocated; 137ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05747431
06355162
139975061
085934839
Stop Event
iter-limit
node-limit
iter-limit
Counts
131 → 427
Calls
Call 1
Inputs
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(PI.f64)
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f
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#s(approx (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (/ 1 (/ 1 (sqrt (PI))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) f) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/128 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -48 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3072 binary64)))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) (PI.f64)) #s(literal -1/8 binary64)))) (PI.f64)) #s(literal 24 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (PI.f64)) #s(literal 3 binary64)) #s(literal 16 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/128 binary64))) (PI.f64)) #s(literal 8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64))))) f (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) #s(literal -2 binary64))) f (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
#s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) f) (PI.f64)) #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))
#s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (fma.f64 f (fma.f64 (*.f64 #s(literal -1/2 binary64) f) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/128 binary64))) (PI.f64)) #s(literal 8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (PI.f64)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))
#s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) f) (fma.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/128 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -48 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/192 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/3072 binary64)))) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/128 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) (PI.f64)) #s(literal -1/8 binary64)))) (PI.f64)) #s(literal 24 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (PI.f64)) #s(literal 3 binary64)) #s(literal 16 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) (*.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal -1/128 binary64))) (PI.f64)) #s(literal 8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64))))) f (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 0 binary64)) (PI.f64)))) f (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))
#s(approx (log (/ 4 (* f (PI)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (* (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) 4) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (/ 1 (/ (PI) (log (tanh (* (* f (PI)) 1/4))))) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))
#s(approx (/ (PI) (log (tanh (* (* f (PI)) 1/4)))) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (log (tanh (* (* f (PI)) 1/4))) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (tanh (* (* f (PI)) 1/4)) (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (PI.f64))) #s(literal -4 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (* (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) 4) (*.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
#s(approx (+ (log (* 1/4 (PI))) (log f)) (neg.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))
#s(approx (log f) (neg.f64 (neg.f64 (log.f64 f))))
#s(approx (* (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) 4) (*.f64 (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) (/.f64 (neg.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (* (/ 4 (/ 1 (/ 1 (sqrt (PI))))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (/ 1 (/ 1 (sqrt (PI)))))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (/ 1 (/ 1 (sqrt (PI))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
#s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (log (/ 4 (* f (PI)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#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 f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) 4) (*.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 f))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) (/.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 f))))) (PI.f64)))
#s(approx (+ (log (* 1/4 (PI))) (log f)) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 f))))))
#s(approx (log f) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64))))
#s(approx (* (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) 4) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 f)))) (PI.f64))) #s(literal 4 binary64)))
#s(approx (+ (* (log f) (/ 1 (PI))) (/ (log (* 1/4 (PI))) (PI))) (+.f64 (/.f64 (log.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 f)))) (PI.f64))))
#s(approx (log (/ 4 (* f (PI)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))))

eval50.0ms (0.6%)

Memory
23.9MiB live, 114.0MiB allocated; 10ms collecting garbage
Compiler

Compiled 7 336 to 2 070 computations (71.8% saved)

prune32.0ms (0.4%)

Memory
-38.3MiB live, 59.0MiB allocated; 9ms collecting garbage
Pruning

26 alts after pruning (18 fresh and 8 done)

PrunedKeptTotal
New3535358
Fresh31316
Picked235
Done055
Total35826384
Accuracy
99.5%
Counts
384 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.8%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
3.8%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(approx (exp (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
3.1%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(approx (exp (* (* 1/4 (PI)) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (* 1/4 (PI)) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
3.8%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 #s(approx (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
96.4%
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) (sqrt.f64 (PI.f64))))
98.0%
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (PI.f64))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))))
96.3%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64)))))
96.5%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 #s(approx (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
6.5%
(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))))))))
6.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.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))))))))
98.8%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
96.9%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64)))
96.3%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (fma.f64 (log.f64 f) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64)))
96.9%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (-.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 #s(literal 4 binary64))) (PI.f64)) #s(literal 4 binary64)))
97.0%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)))
96.8%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64)))
96.9%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64)))
98.9%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 4 binary64)))
96.8%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))
96.9%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) #s(literal 4 binary64)))
96.8%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 4 binary64)))
83.4%
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.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 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
96.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
96.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
Compiler

Compiled 1 797 to 987 computations (45.1% saved)

regimes68.0ms (0.9%)

Memory
27.4MiB live, 120.3MiB allocated; 4ms collecting garbage
Counts
53 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.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 (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(approx (exp (* (* 1/4 (PI)) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (* 1/4 (PI)) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (-.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 #s(literal 4 binary64))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (*.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 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 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))))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) (sqrt.f64 (PI.f64))))
(neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) (sqrt.f64 (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 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (+.f64 (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) #s(literal 4 binary64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (fma.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (*.f64 #s(approx (log (/ (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) #s(approx (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (log.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 #s(literal 1 binary64) (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (fma.f64 (log.f64 f) (PI.f64) (*.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (sqrt.f64 (PI.f64)))))
(neg.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (PI.f64))))
(log.f64 (pow.f64 #s(approx (/ 1 (tanh (* (* (PI) f) 1/4))) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(approx (exp (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (* 1/4 (PI)) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (fma.f64 (log.f64 f) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))) (/.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (PI.f64))) #s(literal 4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))) (/.f64 #s(approx (neg (log (tanh (* (* (PI) f) 1/4)))) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (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 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
(log.f64 (pow.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))))
(neg.f64 (log.f64 (exp.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64)))))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 4 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))))) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 #s(approx (+ (exp (* (* 1/4 (PI)) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 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)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.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 #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 (pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal -1 binary64))) #s(literal 4 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (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))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))))))))
Outputs
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 4 binary64)))
Calls

6 calls:

13.0ms
f
13.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
11.0ms
(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))))))))
10.0ms
(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 #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
98.9%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
98.9%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)))))
98.9%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))))))
98.9%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)))))))
98.9%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))))))))
98.9%1f
Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes36.0ms (0.5%)

Memory
-11.7MiB live, 35.2MiB allocated; 1ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.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 (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(approx (exp (* (* 1/4 (PI)) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (* 1/4 (PI)) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (-.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 #s(literal 4 binary64))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (*.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 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 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))))))
Outputs
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal 4 binary64)))
Calls

6 calls:

19.0ms
(/.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)))))
4.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
f
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
3.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
97.0%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.0%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.0%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.0%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.0%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.0%1f
Compiler

Compiled 126 to 60 computations (52.4% saved)

regimes13.0ms (0.2%)

Memory
26.1MiB live, 26.1MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (/.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 (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 #s(approx (exp (* (* 1/4 (PI)) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* (* 1/4 (PI)) f)) #s(literal 1 binary64)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (-.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 #s(literal 4 binary64))) (PI.f64)) #s(literal 4 binary64)))
Outputs
#s(approx (neg (* (/ 4 (sqrt (PI))) (/ (neg (log (tanh (* (* (PI) f) 1/4)))) (sqrt (PI))))) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64)))
Calls

6 calls:

2.0ms
f
2.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
2.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
2.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
96.9%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.9%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)))))
96.9%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))))))
96.9%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)))))))
96.9%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))))))))
96.9%1f
Compiler

Compiled 126 to 60 computations (52.4% saved)

derivations41.0ms (0.5%)

Memory
-41.2MiB live, 7.5MiB allocated; 6ms collecting garbage

end0.0ms (0%)

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

Profiling

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