VandenBroeck and Keller, Equation (20)

Time bar (total: 9.0s)

start0.0ms (0%)

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

analyze200.0ms (2.2%)

Memory
-15.3MiB live, 274.8MiB allocated; 58ms 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)

sample5.4s (60.4%)

Memory
76.0MiB live, 6 585.6MiB allocated; 2.0s collecting garbage
Samples
2.5s7 854×1valid
2.0s7 546×1invalid
133.0ms170×2valid
18.0ms232×0valid
0.0ms0invalid
0.0ms0exit
Precisions
Click to see histograms. Total time spent on operations: 3.9s
ival-exp: 1.4s (37.4% of total)
ival-mult!: 907.0ms (23.4% of total)
adjust: 405.0ms (10.5% of total)
ival-log: 396.0ms (10.2% of total)
ival-neg: 292.0ms (7.5% of total)
ival-div!: 238.0ms (6.1% of total)
ival-add!: 111.0ms (2.9% of total)
ival-sub!: 75.0ms (1.9% of total)
ival-pi: 0.0ms (0% of total)
Bogosity

explain321.0ms (3.6%)

Memory
36.8MiB live, 469.8MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2430-0-(-.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))))
90-0-(/.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)))))
00-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
00-0-(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
09(1741.108415348612)0-(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))))))
00-0-#s(literal 1 binary64)
00-0-(*.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)))))))
00-0-(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
00-0-#s(literal 4 binary64)
00-0-(+.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))))
00-0-(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))))))))
00-0-f
00-0-(/.f64 (PI.f64) #s(literal 4 binary64))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.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))))cancellation2430
/.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)))))o/o90
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow9
(+.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))))overflow9
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow9
(-.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))))overflow9
log.f64(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))))))sensitivity90
Confusion
Predicted +Predicted -
+2510
-14
Precision
0.996031746031746
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25100
-104
Precision?
0.996031746031746
Recall?
1.0
Freqs
test
numberfreq
04
1243
29
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
132.0ms478×1valid
20.0ms18×2valid
1.0ms16×0valid
Compiler

Compiled 433 to 52 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
ival-exp: 64.0ms (54% of total)
ival-log: 15.0ms (12.7% of total)
adjust: 12.0ms (10.1% of total)
ival-mult!: 10.0ms (8.4% of total)
ival-neg: 9.0ms (7.6% of total)
ival-div!: 4.0ms (3.4% of total)
ival-add!: 2.0ms (1.7% of total)
ival-sub!: 2.0ms (1.7% of total)
ival-pi: 0.0ms (0% of total)

preprocess43.0ms (0.5%)

Memory
-40.4MiB live, 56.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028118
18896
228896
382791
4538083
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.6%
(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 74 to 32 computations (56.8% saved)

series117.0ms (1.3%)

Memory
13.3MiB live, 149.2MiB allocated; 19ms 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
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (+ (* 2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (+ (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* 2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))))
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Calls

3 calls:

TimeVariablePointExpression
62.0ms
f
@-inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
44.0ms
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)))))

rewrite231.0ms (2.6%)

Memory
31.8MiB live, 269.1MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03013547
03282177
118752038
084041972
Stop Event
iter-limit
node-limit
iter-limit
Counts
59 → 123
Calls
Call 1
Inputs
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f
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#s(approx f #s(hole binary64 f))
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Outputs
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(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1 binary64)))
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#s(literal 4 binary64)
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#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.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 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
#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)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (PI.f64)) f))
#s(approx (exp (neg (* (/ (PI) 4) f))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 (PI.f64) f)))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))

eval50.0ms (0.6%)

Memory
-9.9MiB live, 83.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 9 841 to 1 167 computations (88.1% saved)

prune13.0ms (0.1%)

Memory
-16.9MiB live, 30.0MiB allocated; 3ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1999208
Fresh000
Picked101
Done000
Total2009209
Accuracy
96.3%
Counts
209 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
6.6%
(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 (PI.f64) f) #s(literal -1/4 binary64))))) (-.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))))))))
95.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))))
95.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f)) f)) f)))))
94.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
72.2%
(neg.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
72.2%
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
95.9%
#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 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
94.5%
#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 (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 780 to 452 computations (42.1% saved)

series392.0ms (4.4%)

Memory
20.3MiB live, 779.5MiB allocated; 83ms collecting garbage
Counts
74 → 145
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64))
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
#s(literal 2 binary64)
(cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal -1/4 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f)) f)) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f)) f)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f)) f)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f)) f)) f))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f)) f)) f)
(fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f)) f))
(/.f64 #s(literal 2 binary64) (PI.f64))
(*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f)) f)
(fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f))
(/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(literal 0 binary64)
(*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f)
(fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
#s(literal -2 binary64)
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/192 binary64)
(pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 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 (PI.f64) f) #s(literal -1/4 binary64))))) (-.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 #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))))) (-.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)))))))
(log.f64 (/.f64 #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))))) (-.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(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))))) (-.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)))))
#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)))))
(-.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)
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))))
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
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 (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
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#s(approx (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) #s(hole binary64 (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* f (+ (* -2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* -2/3 (/ (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (PI))))))))))
#s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) #s(hole binary64 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
#s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) #s(hole binary64 (+ (* -1 (/ (log f) (PI))) (+ (* -1 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))
#s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) #s(hole binary64 (+ (* -1 (/ (log f) (PI))) (+ (* f (+ (* -1 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))))) (/ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))
#s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) #s(hole binary64 (+ (* -1 (/ (log f) (PI))) (+ (* f (+ (* -1 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* f (+ (* 1/6 (/ (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (PI))) (* 1/2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))) (/ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))
#s(approx (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) #s(hole binary64 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))))
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#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) #s(hole binary64 (* f (+ (* -1/24 (PI)) (+ (* 1/8 (PI)) (* 4 (/ 1 (* (pow f 2) (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)))))))
#s(approx (log (/ 1 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)))) #s(hole binary64 (log (/ 1 (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 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1))) #s(hole binary64 (/ 1 (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 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) #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 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 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 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 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 (cosh (* f (/ (PI) 4))) #s(hole binary64 (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (sinh (* f (/ (PI) 4))) #s(hole binary64 (* 1/2 (- (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 (/ -4 (PI))) (log (/ -1 f))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ -4 (PI))) (log (/ -1 f)))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) #s(hole binary64 (* -1 (* f (- (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
Calls

3 calls:

TimeVariablePointExpression
193.0ms
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)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) 2 (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 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)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 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))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (/ 2 (PI)) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) (/ (PI) (* (PI) 1/2)) 0 (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f) (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2))) -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)) (* (pow (PI) 3) 1/192) (pow (PI) 3) 3 1/192 (pow (* (PI) 1/2) 2) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (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)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (log (/ 1 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)))) (/ 1 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (sinh (* f (/ (PI) 4))) (pow (/ (PI) 4) -1) -1)
135.0ms
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)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) 2 (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 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)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 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))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (/ 2 (PI)) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) (/ (PI) (* (PI) 1/2)) 0 (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f) (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2))) -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)) (* (pow (PI) 3) 1/192) (pow (PI) 3) 3 1/192 (pow (* (PI) 1/2) 2) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (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)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (log (/ 1 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)))) (/ 1 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (sinh (* f (/ (PI) 4))) (pow (/ (PI) 4) -1) -1)
49.0ms
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)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) 2 (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 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)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 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))))) (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (/ 2 (PI)) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f) (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) (/ (PI) (* (PI) 1/2)) 0 (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f) (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) (/ (* (PI) (PI)) (PI)) (* (PI) (PI)) 1/8 (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2))) -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)) (* (pow (PI) 3) 1/192) (pow (PI) 3) 3 1/192 (pow (* (PI) 1/2) 2) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (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)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (log (/ 1 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)))) (/ 1 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (sinh (* f (/ (PI) 4))) (pow (/ (PI) 4) -1) -1)

rewrite237.0ms (2.6%)

Memory
36.2MiB live, 412.7MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093518486
0104212593
1593212516
0846012083
Stop Event
iter-limit
node-limit
iter-limit
Counts
219 → 469
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64))
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
#s(literal 2 binary64)
(cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal -1/4 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
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#s(approx (cosh (* f (/ (PI) 4))) #s(hole binary64 (+ 1 (* (pow f 2) (+ (* -1/2 (* f (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/32 (pow (PI) 2)))))))
#s(approx (cosh (* f (/ (PI) 4))) #s(hole binary64 (+ 1 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* f (+ (* -1/2 (* f (+ (* -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)))))) (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))))))))))
#s(approx (* f (/ (PI) 4)) #s(hole binary64 (* 1/4 (* f (PI)))))
#s(approx (sinh (* f (/ (PI) 4))) #s(hole binary64 (* 1/2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))))
#s(approx (sinh (* f (/ (PI) 4))) #s(hole binary64 (* f (+ (* 1/2 (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))) (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI))))))))
#s(approx (sinh (* f (/ (PI) 4))) #s(hole binary64 (* f (+ (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))) (* f (+ (* 1/2 (* f (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))))) (* 1/2 (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))))))
#s(approx (sinh (* f (/ (PI) 4))) #s(hole binary64 (* f (+ (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))) (* f (+ (* 1/2 (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* f (+ (* 1/2 (* f (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))))) (* 1/2 (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))))))))))))
#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 (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (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 (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) #s(hole binary64 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
#s(approx (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (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 (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (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 (* 2 (cosh (* (* (PI) f) -1/4))) #s(hole binary64 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))))
#s(approx (cosh (* (* (PI) f) -1/4)) #s(hole binary64 (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))))
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) #s(hole binary64 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
#s(approx (sinh (* (* (PI) f) 1/4)) #s(hole binary64 (* 1/2 (- (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 (* (/ 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 (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) #s(hole binary64 (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) #s(hole binary64 (* f (+ (* -1/24 (PI)) (+ (* 1/8 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) #s(hole binary64 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) #s(hole binary64 (* (pow f 2) (+ (* -1/24 (PI)) (+ (* 1/8 (PI)) (* 4 (/ 1 (* (pow f 2) (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)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 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 (log (/ 1 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)))) #s(hole binary64 (log (/ 1 (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 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1))) #s(hole binary64 (/ 1 (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 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) #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 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 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 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 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 (cosh (* f (/ (PI) 4))) #s(hole binary64 (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (sinh (* f (/ (PI) 4))) #s(hole binary64 (* 1/2 (- (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 (/ -4 (PI))) (log (/ -1 f))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ -4 (PI))) (log (/ -1 f)))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) #s(hole binary64 (* -1 (* f (- (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64))
(-.f64 (log.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (log.f64 (neg.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
(log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) f) (PI.f64)) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) f) (PI.f64)) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (/.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) f) (PI.f64) (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)) (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) f) (PI.f64) (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)) (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64))) (*.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64))) (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) f) (PI.f64)))) (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) f) (PI.f64))))
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#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
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#s(approx (* 2 (cosh (* (* (PI) f) -1/4))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
#s(approx (cosh (* (* (PI) f) -1/4)) (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
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#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64)))
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#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal 4 binary64)))
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#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))
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#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f)))

eval129.0ms (1.4%)

Memory
-32.4MiB live, 267.2MiB allocated; 57ms collecting garbage
Compiler

Compiled 43 323 to 3 669 computations (91.5% saved)

prune34.0ms (0.4%)

Memory
-0.3MiB live, 94.6MiB allocated; 4ms collecting garbage
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New57620596
Fresh404
Picked505
Done000
Total58520605
Accuracy
96.6%
Counts
605 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.6%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #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))))) (-.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))))))))
95.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
94.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
44.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
1.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
94.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.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)))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
6.6%
(neg.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 #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))))) (-.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))))))))
94.7%
(neg.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f)) f)) f)))))
72.5%
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))))
70.7%
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
70.7%
(log.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 3 binary64))) #s(literal -32/3 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal -2 binary64))) (PI.f64)) #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -8 binary64)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) (PI.f64)) #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64))))) f (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) #s(literal -4 binary64))) f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))))))
70.7%
(log.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (fma.f64 (fma.f64 (*.f64 f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) (PI.f64)) #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) #s(literal -4 binary64))) f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))))))
95.9%
#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 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
93.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
94.4%
#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 (-.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)))
95.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(approx (* 2 (cosh (* (* (PI) f) -1/4))) (fma.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/16 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
94.5%
#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 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
94.5%
#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(approx (log (/ 2 (* (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
94.4%
#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 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64)))
Compiler

Compiled 3 906 to 1 680 computations (57% saved)

series294.0ms (3.3%)

Memory
20.9MiB live, 627.2MiB allocated; 110ms collecting garbage
Counts
55 → 133
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64))
(log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 f (PI.f64))
f
(PI.f64)
#s(literal 1/4 binary64)
(sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
#s(literal 4 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f)))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))
(*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f)
(fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64))))
#s(literal 1/12 binary64)
(/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))
(*.f64 (*.f64 f f) (PI.f64))
(*.f64 f f)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.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)))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.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)))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(log.f64 f)
#s(literal -1 binary64)
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(-.f64 (log.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
(log.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (/ (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (/ (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) #s(hole binary64 (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* 4 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
#s(approx (/ (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) #s(hole binary64 (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))))
#s(approx (/ (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) #s(hole binary64 (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* f (+ (* -2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* -2/3 (/ (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (PI))))))))))
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Calls

3 calls:

TimeVariablePointExpression
151.0ms
f
@-inf
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88.0ms
f
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47.0ms
f
@0
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rewrite215.0ms (2.4%)

Memory
22.9MiB live, 351.3MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085913279
09258798
156498720
082298389
Stop Event
iter-limit
node-limit
iter-limit
Counts
188 → 361
Calls
Call 1
Inputs
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#s(approx (sinh (* (/ (PI) 4) f)) #s(hole binary64 (* f (+ (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))) (* f (+ (* 1/2 (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* f (+ (* 1/2 (* f (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))))) (* 1/2 (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))))))))))))
#s(approx (* (/ (PI) 4) f) #s(hole binary64 (* 1/4 (* 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 (* -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 (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (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 (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -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)))))))))))
#s(approx (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 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 (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 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 (cosh (* (* f (PI)) 1/4)) #s(hole binary64 (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (sinh (* (* f (PI)) 1/4)) #s(hole binary64 (* 1/2 (- (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 (* (/ 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 (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) #s(hole binary64 (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) #s(hole binary64 (* f (+ (* -1/24 (PI)) (+ (* 1/8 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
#s(approx (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) f) #s(hole binary64 (* 1/12 (* f (PI)))))
#s(approx (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) f) #s(hole binary64 (* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))))
#s(approx (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) #s(hole binary64 (* 1/12 (PI))))
#s(approx (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) #s(hole binary64 (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))
#s(approx (+ (* (log f) -1) (log (/ 2 (* 1/2 (PI))))) #s(hole binary64 (+ (log (/ 1 f)) (log (/ 4 (PI))))))
#s(approx (log f) #s(hole binary64 (* -1 (log (/ 1 f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (* 2 (sinh (* (/ (PI) 4) f))))))) #s(hole binary64 (* -4 (/ (- (log (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (* 2 (sinh (* (/ (PI) 4) f)))))) #s(hole binary64 (* 4 (/ (- (log (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (- (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (* 2 (sinh (* (/ (PI) 4) f))))) #s(hole binary64 (- (log (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
#s(approx (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (log (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 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 (* (cosh (* (* f (PI)) 1/4)) 2) #s(hole binary64 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
#s(approx (log (* 2 (sinh (* (/ (PI) 4) f)))) #s(hole binary64 (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (* 2 (sinh (* (/ (PI) 4) f))) #s(hole binary64 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
#s(approx (sinh (* (/ (PI) 4) f)) #s(hole binary64 (* 1/2 (- (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 (/ -4 (PI))) (log (/ -1 f))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ -4 (PI))) (log (/ -1 f)))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) #s(hole binary64 (* -1 (* f (- (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
#s(approx (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) f) #s(hole binary64 (* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
#s(approx (+ (* (log f) -1) (log (/ 2 (* 1/2 (PI))))) #s(hole binary64 (+ (log (/ 4 (PI))) (* -1 (+ (log -1) (* -1 (log (/ -1 f))))))))
#s(approx (log f) #s(hole binary64 (+ (log -1) (* -1 (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 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal -4 binary64)))
(-.f64 (log.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))) (log.f64 (sinh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))
(-.f64 (log.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (log.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(/.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (sinh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
(/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))))
(cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))
(cosh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))
(*.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 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
f
(PI.f64)
#s(literal 1/4 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 2 binary64))
(sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)))
(/.f64 (*.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (neg.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 #s(literal -4 binary64) (neg.f64 (*.f64 f (PI.f64))))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
#s(literal 4 binary64)
(*.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f)))))
(*.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal -1 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
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#s(approx (* 2 (sinh (* (/ (PI) 4) f))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
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#s(approx (sinh (* (/ (PI) 4) f)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64)))
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#s(approx (sinh (* (/ (PI) 4) f)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) f (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))))) f (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64))) f))
#s(approx (sinh (* (/ (PI) 4) f)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))))))) f (-.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))))) f (*.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/2 binary64))) f (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64))) f))
#s(approx (* (/ (PI) 4) f) (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (*.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))) #s(literal -4 binary64)))
#s(approx (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))))
#s(approx (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))))
#s(approx (cosh (* (* f (PI)) 1/4)) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (sinh (* (* f (PI)) 1/4)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f64 (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (* 2 (sinh (* (/ (PI) 4) f)))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (- (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (* 2 (sinh (* (/ (PI) 4) f))))) (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))
#s(approx (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) f) (*.f64 (*.f64 f (PI.f64)) #s(literal 1/12 binary64)))
#s(approx (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))
#s(approx (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) (*.f64 #s(literal 1/12 binary64) (PI.f64)))
#s(approx (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))))
#s(approx (+ (* (log f) -1) (log (/ 2 (* 1/2 (PI))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
#s(approx (log f) (*.f64 #s(literal 1 binary64) (log.f64 f)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ 1 (/ (PI) 4)) (- (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (* 2 (sinh (* (/ (PI) 4) f)))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))) (PI.f64)) #s(literal 4 binary64)))
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#s(approx (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64))))
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#s(approx (* (cosh (* (* f (PI)) 1/4)) 2) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)))
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#s(approx (* 2 (sinh (* (/ (PI) 4) f))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
#s(approx (sinh (* (/ (PI) 4) f)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f64 (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (neg.f64 (*.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f)))
#s(approx (* (+ (* (PI) 1/12) (/ 4 (* (* f f) (PI)))) f) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/12 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f)))
#s(approx (+ (* (log f) -1) (log (/ 2 (* 1/2 (PI))))) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
#s(approx (log f) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))

eval71.0ms (0.8%)

Memory
-30.8MiB live, 164.2MiB allocated; 14ms collecting garbage
Compiler

Compiled 32 122 to 2 377 computations (92.6% saved)

prune69.0ms (0.8%)

Memory
1.1MiB live, 100.5MiB allocated; 38ms collecting garbage
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New4388446
Fresh21315
Picked325
Done000
Total44323466
Accuracy
96.6%
Counts
466 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.7%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
94.4%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (- (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (* 2 (sinh (* (/ (PI) 4) f))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))))
44.8%
(neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
6.6%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #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))))) (-.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))))))))
1.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
94.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
1.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
94.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (* 2 (sinh (* (/ (PI) 4) f))))) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f (log.f64 #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
94.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.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)))))) (/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))))))
6.6%
(neg.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 #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))))) (-.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))))))))
94.7%
(neg.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f)) f)) f)))))
44.7%
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
72.5%
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))))
70.7%
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
70.7%
(log.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 3 binary64))) #s(literal -32/3 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal -2 binary64))) (PI.f64)) #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -8 binary64)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) (PI.f64)) #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64))))) f (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) #s(literal -4 binary64))) f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))))))
70.7%
(log.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (fma.f64 (fma.f64 (*.f64 f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) (PI.f64)) #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) #s(literal -4 binary64))) f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))))))
95.9%
#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 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
95.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 #s(approx (cosh (* (* f (PI)) 1/4)) (fma.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
94.5%
#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(approx (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) #s(literal -4 binary64)) (PI.f64)))
93.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
94.4%
#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 (-.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)))
94.5%
#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 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
94.4%
#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 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64)))
Compiler

Compiled 4 312 to 1 899 computations (56% saved)

series325.0ms (3.6%)

Memory
8.5MiB live, 669.5MiB allocated; 54ms collecting garbage
Counts
66 → 114
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 #s(approx (cosh (* (* f (PI)) 1/4)) (fma.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 #s(approx (cosh (* (* f (PI)) 1/4)) (fma.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64))
(*.f64 (log.f64 (/.f64 #s(approx (cosh (* (* f (PI)) 1/4)) (fma.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64))
(log.f64 (/.f64 #s(approx (cosh (* (* f (PI)) 1/4)) (fma.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(/.f64 #s(approx (cosh (* (* f (PI)) 1/4)) (fma.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
#s(approx (cosh (* (* f (PI)) 1/4)) (fma.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64) #s(literal 1 binary64))
(pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64))
(*.f64 f (PI.f64))
f
(PI.f64)
#s(literal 2 binary64)
#s(literal 1/32 binary64)
#s(literal 1 binary64)
(sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal -4 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f)))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/12 binary64))
#s(literal 1/12 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 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
(*.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))
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
(log.f64 #s(literal 2 binary64))
(log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64)))
(*.f64 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64))
#s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)))))
(fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))
(/.f64 (log.f64 f) (PI.f64))
(log.f64 f)
#s(literal -1 binary64)
(fma.f64 (*.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 f (PI.f64))
(/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.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)))))) (/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.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)))))) (/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))) (-.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(-.f64 (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64)))
(pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64))
(neg.f64 (log.f64 f))
(pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(-.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
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Calls

3 calls:

TimeVariablePointExpression
185.0ms
f
@0
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69.0ms
f
@-inf
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60.0ms
f
@inf
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rewrite198.0ms (2.2%)

Memory
-1.7MiB live, 284.4MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073311755
08276789
148306549
082276306
Stop Event
iter-limit
node-limit
iter-limit
Counts
180 → 496
Calls
Call 1
Inputs
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Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (/.f64 #s(approx (cosh (* (* f (PI)) 1/4)) (fma.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64) #s(literal 1 binary64))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
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#s(approx (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) #s(literal 0 binary64))
#s(approx (/ f (PI)) (/.f64 f (PI.f64)))
#s(approx (/ (- (pow (neg (log f)) 2) (pow (log (/ 4 (PI))) 2)) (- (neg (log f)) (log (/ 4 (PI))))) (neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 f) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
#s(approx (- (pow (neg (log f)) 2) (pow (log (/ 4 (PI))) 2)) (-.f64 (pow.f64 (log.f64 f) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))))
#s(approx (pow (neg (log f)) 2) (pow.f64 (log.f64 f) #s(literal 2 binary64)))
#s(approx (neg (log f)) (neg.f64 (log.f64 f)))
#s(approx (- (neg (log f)) (log (/ 4 (PI)))) (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))) #s(literal -4 binary64)))
#s(approx (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))))
#s(approx (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
#s(approx (cosh (* (* f (PI)) 1/4)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) #s(literal 1/2 binary64)))
#s(approx (+ (* (pow (* f (PI)) 2) 1/32) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))
#s(approx (+ (* (pow (* f (PI)) 2) 1/32) 1) (fma.f64 (*.f64 f f) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) #s(literal 1 binary64)))
#s(approx (sinh (* (* f (PI)) 1/4)) (*.f64 (*.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))) #s(literal 2 binary64)) #s(literal 1/2 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 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (*.f64 (/.f64 (pow.f64 f #s(literal -2 binary64)) (PI.f64)) #s(literal 4 binary64))) f))
#s(approx (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
#s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (log (* (* 1/2 (PI)) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))))
#s(approx (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
#s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))))) (PI.f64)))
#s(approx (+ (* (/ (log f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
#s(approx (/ (log f) (PI)) (/.f64 (log.f64 f) (PI.f64)))
#s(approx (log f) (log.f64 f))
#s(approx (/ (- (pow (neg (log f)) 2) (pow (log (/ 4 (PI))) 2)) (- (neg (log f)) (log (/ 4 (PI))))) (neg.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))))
#s(approx (- (pow (neg (log f)) 2) (pow (log (/ 4 (PI))) 2)) (-.f64 (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))))
#s(approx (pow (neg (log f)) 2) (pow.f64 (neg.f64 (log.f64 f)) #s(literal 2 binary64)))
#s(approx (neg (log f)) (neg.f64 (log.f64 f)))
#s(approx (- (neg (log f)) (log (/ 4 (PI)))) (neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 f #s(literal -2 binary64)) (PI.f64)))) f)))
#s(approx (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64)))
#s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)))))
#s(approx (log (* (* 1/2 (PI)) f)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))))
#s(approx (+ (* (/ (log f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) (fma.f64 (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (PI.f64)) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))
#s(approx (/ (log f) (PI)) (/.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (PI.f64)))
#s(approx (log f) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (/ (- (pow (neg (log f)) 2) (pow (log (/ 4 (PI))) 2)) (- (neg (log f)) (log (/ 4 (PI))))) (neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))) (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)))))))
#s(approx (- (pow (neg (log f)) 2) (pow (log (/ 4 (PI))) 2)) (-.f64 (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 2 binary64))))
#s(approx (pow (neg (log f)) 2) (pow.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (neg (log f)) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (- (neg (log f)) (log (/ 4 (PI)))) (neg.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (PI.f64)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f))))))

eval94.0ms (1%)

Memory
25.4MiB live, 214.2MiB allocated; 17ms collecting garbage
Compiler

Compiled 46 764 to 3 356 computations (92.8% saved)

prune62.0ms (0.7%)

Memory
5.0MiB live, 149.7MiB allocated; 7ms collecting garbage
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New5748582
Fresh31316
Picked415
Done022
Total58124605
Accuracy
96.6%
Counts
605 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.7%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
1.6%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f))))))
94.4%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (- (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (* 2 (sinh (* (/ (PI) 4) f))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))))
44.8%
(neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
6.6%
(neg.f64 (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 #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))))) (-.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))))))))
1.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
94.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
6.6%
(neg.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 #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))))) (-.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))))))))
94.7%
(neg.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) f)) f)) f)))))
44.7%
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
72.5%
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))))
70.7%
(log.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 3 binary64))) #s(literal -32/3 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal -2 binary64))) (PI.f64)) #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -8 binary64)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) (PI.f64)) #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64))))) f (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) #s(literal -4 binary64))) f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))))))
70.7%
(log.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (fma.f64 (fma.f64 (*.f64 f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) (PI.f64)) #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) #s(literal -4 binary64))) f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))))))
95.9%
#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 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
95.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 #s(approx (cosh (* (* f (PI)) 1/4)) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 f f)) #s(literal 1/32 binary64) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
95.2%
#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 (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal -2 binary64) (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) f (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) f) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal -4 binary64)) (PI.f64)))
94.4%
#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 (fma.f64 (neg.f64 (log.f64 f)) (PI.f64) (log.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64)))
94.1%
#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 (pow.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))) #s(literal -4 binary64)))
94.5%
#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 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
93.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
94.4%
#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 (-.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)))
94.5%
#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 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
94.2%
#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)) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (PI.f64)))) (PI.f64))) #s(literal -4 binary64)))
94.4%
#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 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
Compiler

Compiled 6 074 to 1 544 computations (74.6% saved)

regimes64.0ms (0.7%)

Memory
1.0MiB live, 141.6MiB allocated; 6ms collecting garbage
Counts
46 → 1
Calls
Call 1
Inputs
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(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))))
#s(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 (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal -2 binary64) (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64) (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) f (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64)) (PI.f64)) #s(literal -1/4 binary64) (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) f) (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal -4 binary64)) (PI.f64)))
(log.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (fma.f64 (fma.f64 (*.f64 f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))) (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) (PI.f64)) #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) #s(literal -4 binary64))) f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))))))
(log.f64 (/.f64 #s(literal 1 binary64) #s(approx (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 3 binary64))) #s(literal -32/3 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -2 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64))) (PI.f64)) #s(literal -1/4 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/2048 binary64))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))))) (*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal -2 binary64))) (PI.f64)) #s(literal 2/3 binary64) (*.f64 (*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) #s(literal -8 binary64)))) (*.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/192 binary64)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) (PI.f64)) #s(literal 2 binary64) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)) #s(literal 2 binary64))))) (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64))))) f (*.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64))) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) #s(literal -4 binary64))) f (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)))))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
Calls

6 calls:

12.0ms
f
11.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
10.0ms
(/.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)))))
9.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
9.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
95.9%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
95.9%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)))))
95.9%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))))))
95.9%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)))))))
95.9%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))))))))
95.9%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes88.0ms (1%)

Memory
-21.6MiB live, 81.2MiB allocated; 81ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #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 (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
(neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))) (/.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 (-.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 4 binary64) (PI.f64))) (log.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 #s(approx (log (/ 2 (* (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 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 #s(approx (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) #s(literal -4 binary64)) (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 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (- (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (* 2 (sinh (* (/ (PI) 4) f))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (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)) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (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 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (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 (log.f64 (/.f64 #s(approx (cosh (* (* f (PI)) 1/4)) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 f f)) #s(literal 1/32 binary64) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (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 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (* 2 (sinh (* (/ (PI) 4) f))))) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f (log.f64 #s(literal 2 binary64))) (log.f64 (*.f64 (*.f64 #s(literal 1/2 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 (fma.f64 (neg.f64 (log.f64 f)) (PI.f64) (log.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (PI.f64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64)))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 (/.f64 #s(approx (cosh (* (* f (PI)) 1/4)) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 f f)) #s(literal 1/32 binary64) #s(literal 1 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) #s(literal -4 binary64)) (PI.f64)))
Calls

6 calls:

57.0ms
f
9.0ms
(/.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)))))
6.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
5.0ms
(*.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)))))))
5.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
95.1%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
95.1%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
95.1%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
95.1%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
95.1%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
95.1%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes30.0ms (0.3%)

Memory
20.5MiB live, 67.5MiB allocated; 2ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #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 (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
(neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))) (/.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 (-.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 4 binary64) (PI.f64))) (log.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 #s(approx (log (/ 2 (* (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 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 #s(approx (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) #s(literal -4 binary64)) (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 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 #s(approx (- (log (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (log (* 2 (sinh (* (/ (PI) 4) f))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (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)) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 f (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 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
(log.f64 (pow.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))) (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
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 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
Calls

6 calls:

5.0ms
f
5.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
5.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
4.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
94.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
94.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
94.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
94.5%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
94.5%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))))))))
94.5%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes19.0ms (0.2%)

Memory
-0.7MiB live, 46.6MiB allocated; 1ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #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 (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
(neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))) (/.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 (-.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)))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
Calls

6 calls:

4.0ms
f
3.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
3.0ms
(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))))))))
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
94.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
94.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
94.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
94.5%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
94.5%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))))))))
94.5%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes8.0ms (0.1%)

Memory
-31.3MiB live, 18.4MiB allocated; 2ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f))))))
Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.f64 (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f))))))
Calls

6 calls:

1.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms
f
1.0ms
(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))))))
1.0ms
(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))))))))
1.0ms
(*.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
1.6%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.6%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
1.6%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
1.6%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
1.6%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
1.6%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

derivations233.0ms (2.6%)

Memory
-1.0MiB live, 283.9MiB allocated; 9ms collecting garbage
Stop Event
fuel
Compiler

Compiled 311 to 94 computations (69.8% saved)

preprocess32.0ms (0.4%)

Memory
26.7MiB live, 73.3MiB allocated; 2ms collecting garbage
Compiler

Compiled 696 to 220 computations (68.4% saved)

end0.0ms (0%)

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

Profiling

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