VandenBroeck and Keller, Equation (20)

Time bar (total: 11.6s)

start0.0ms (0%)

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

analyze259.0ms (2.2%)

Memory
45.9MiB live, 472.5MiB allocated; 99ms 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%2.4%46.6%0%0%51%0%11
5.1%2.5%46.4%0%0%51%0%12
Compiler

Compiled 39 to 18 computations (53.8% saved)

sample7.2s (62.1%)

Memory
71.3MiB live, 8 539.6MiB allocated; 2.9s collecting garbage
Samples
3.3s7 846×1valid
2.7s7 556×1invalid
215.0ms180×2valid
24.0ms230×0valid
0.0ms0exit
0.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 5.5s
ival-exp: 2.2s (39.2% of total)
adjust: 842.0ms (15.3% of total)
ival-div: 632.0ms (11.5% of total)
ival-mult: 541.0ms (9.9% of total)
ival-log: 461.0ms (8.4% of total)
ival-neg: 275.0ms (5% of total)
ival-pi: 217.0ms (4% of total)
ival-add: 184.0ms (3.4% of total)
ival-sub: 157.0ms (2.9% of total)
exact: 21.0ms (0.4% of total)
ival-assert: 5.0ms (0.1% of total)
Bogosity

explain366.0ms (3.2%)

Memory
19.2MiB live, 490.9MiB allocated; 45ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2480-0-(-.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))))
33(1530912.2390312874)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))))))
20-0-(/.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)))))
10-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
10-0-(exp.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))))cancellation2480
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))))))sensitivity60
/.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/o20
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow2
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow2
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow2
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow2
exp.f64(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))sensitivity10
exp.f64(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))sensitivity10
Confusion
Predicted +Predicted -
+2530
-12
Precision
0.9960629921259843
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25300
-102
Precision?
0.9960629921259843
Recall?
1.0
Freqs
test
numberfreq
02
1251
22
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
200.0ms492×1valid
5.0ms2valid
2.0ms14×0valid
Compiler

Compiled 433 to 52 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 172.0ms
ival-div: 58.0ms (33.7% of total)
ival-exp: 40.0ms (23.3% of total)
adjust: 18.0ms (10.5% of total)
ival-add: 13.0ms (7.6% of total)
ival-mult: 12.0ms (7% of total)
ival-log: 11.0ms (6.4% of total)
ival-neg: 8.0ms (4.7% of total)
ival-pi: 5.0ms (2.9% of total)
ival-sub: 4.0ms (2.3% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess117.0ms (1%)

Memory
-21.4MiB live, 70.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028118
18896
228896
382791
4538083
01637
02937
16132
216032
350432
4248722
0848622
Stop Event
iter limit
node limit
iter limit
node limit
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))))))))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (sinh.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (sinh.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Compiler

Compiled 37 to 16 computations (56.8% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
8.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series100.0ms (0.9%)

Memory
-3.2MiB live, 138.6MiB allocated; 26ms 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)))))
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Calls

3 calls:

TimeVariablePointExpression
51.0ms
f
@inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
38.0ms
f
@-inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
8.0ms
f
@0
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite218.0ms (1.9%)

Memory
47.4MiB live, 227.4MiB allocated; 26ms 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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#s(literal 1 binary64)
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(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
f
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#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/41287680 binary64)) (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/122880 binary64))) (*.f64 #s(literal -1/122880 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)))) (*.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64))) (*.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (*.f64 f f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (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)))))

eval37.0ms (0.3%)

Memory
-20.2MiB live, 79.5MiB allocated; 14ms collecting garbage
Compiler

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

prune22.0ms (0.2%)

Memory
7.5MiB live, 50.2MiB allocated; 6ms collecting garbage
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New19216208
Fresh000
Picked101
Done000
Total19316209
Accuracy
97.9%
Counts
209 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(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)))))))))
7.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
7.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 f #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)) (exp.f64 (fma.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))))))
7.7%
(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 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
7.6%
(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 (/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (*.f64 (sinh.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)))))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
8.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (+.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
5.0%
(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)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
7.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.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)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
8.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.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))))))))
96.6%
(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))))) (/.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)))))
95.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
95.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
83.7%
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
97.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (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)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
Compiler

Compiled 1 570 to 816 computations (48% saved)

series525.0ms (4.5%)

Memory
-7.8MiB live, 671.6MiB allocated; 206ms collecting garbage
Counts
75 → 165
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))
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(/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(literal 0 binary64)
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(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))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (neg.f64 (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)))))) (neg.f64 (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))))
(neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (+.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (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 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (+.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (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 (+.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (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)
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(-.f64 (+.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(+.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #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 (/ (* 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)))))
#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))) (* 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 (/ (* 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 (+ (* -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 (/ (* 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))))
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Calls

3 calls:

TimeVariablePointExpression
229.0ms
f
@-inf
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221.0ms
f
@inf
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59.0ms
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) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (pow (/ (PI) 4) -1)))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (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))) (neg (pow (/ (PI) 4) -1)) (pow (/ (PI) 4) -1) -1 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f))))))) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (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)) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f)))) (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))))

rewrite273.0ms (2.4%)

Memory
2.9MiB live, 366.8MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105325581
0117117891
1689317768
0858416765
Stop Event
iter limit
node limit
iter limit
Counts
240 → 484
Calls
Call 1
Inputs
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#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (+ (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (+ (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (exp (neg (* 1/4 (* f (PI))))))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (+ (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (exp (neg (* 1/4 (* f (PI)))))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (exp (* 1/4 (* f (PI))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (exp (neg (* 1/4 (* f (PI)))))))
#s(approx (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (- (+ (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (exp (neg (* 1/4 (* f (PI))))))))
#s(approx (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) #s(hole binary64 (+ (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))) (* 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 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 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 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 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 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64)))) (*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 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)) (*.f64 f (PI.f64))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (-.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 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64)))) (*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))))))
(+.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (exp.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))))
(+.f64 (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))))
(+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (exp.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (cosh.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)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(cosh.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))
(cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) f) (PI.f64))
(*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 f (PI.f64))))
(*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(PI.f64)
f
#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 2 binary64) (*.f64 (sinh.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) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64)))) (*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))))) (*.f64 (cosh.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)) (*.f64 f (PI.f64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (fma.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))))))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 f (PI.f64))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))))
(+.f64 (sinh.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 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))
(*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
#s(literal 1/4 binary64)
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#s(approx (* (PI) f) (*.f64 f (PI.f64)))
#s(approx f f)
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#s(approx (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f))
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#s(approx (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (fma.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)))) #s(literal 1/2 binary64) (*.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))) #s(literal -1/2 binary64))) (*.f64 #s(literal -1/384 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))) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f))
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#s(approx (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) #s(literal 1 binary64))
#s(approx (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f) #s(literal 1/2 binary64) #s(literal 1 binary64)))
#s(approx (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (fma.f64 (fma.f64 (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)))) #s(literal 1/2 binary64) (*.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(literal 1 binary64)))
#s(approx (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)) (fma.f64 (fma.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)))) #s(literal 1/2 binary64) (*.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))) #s(literal -1/2 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(literal 1 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 (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)))
#s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)))
#s(approx (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))))
#s(approx (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (* 2 (cosh (* (* (PI) f) -1/4))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
#s(approx (cosh (* (* (PI) f) -1/4)) (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
#s(approx (sinh (* (* (PI) f) 1/4)) (*.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #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)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (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 (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f)))))) (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(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f))))) (/.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(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 (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)) (*.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f 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)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) (*.f64 f f)))
#s(approx (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (pow (/ (PI) 4) -1)))) (*.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 (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (neg (pow (/ (PI) 4) -1))) (pow.f64 (exp.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))))
#s(approx (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (cosh (* f (/ (PI) 4))) (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (sinh (* f (/ (PI) 4))) (*.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.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)))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.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)))) (pow.f64 (exp.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)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f)))))) (log.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.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)))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64)))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.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)))) (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 f (PI.f64))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
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#s(approx (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (*.f64 #s(literal 1/2 binary64) (fma.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)))))
#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 (PI.f64) #s(literal 1/12 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f)))

eval152.0ms (1.3%)

Memory
3.0MiB live, 238.1MiB allocated; 86ms collecting garbage
Compiler

Compiled 47 544 to 3 626 computations (92.4% saved)

prune55.0ms (0.5%)

Memory
21.2MiB live, 69.6MiB allocated; 1ms collecting garbage
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New58817605
Fresh5611
Picked505
Done000
Total59823621
Accuracy
98.2%
Counts
621 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
7.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 f #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)) (exp.f64 (fma.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))))))
7.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(literal 3 binary64))) (fma.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (fma.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (*.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))))))
7.7%
(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 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
5.0%
(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)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
7.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
8.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
8.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.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))))))))
96.6%
(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))))) (/.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)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
95.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
49.3%
(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 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
1.7%
(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 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
96.0%
(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)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (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))))))))
96.3%
(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)))))
82.3%
(log.f64 (pow.f64 #s(approx (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
97.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (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)))
96.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) f) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
96.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (neg.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 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 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)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 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))))) f (/.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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 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)))) f (*.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)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #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)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #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 3 368 to 1 664 computations (50.6% saved)

series166.0ms (1.4%)

Memory
-9.7MiB live, 316.3MiB allocated; 36ms collecting garbage
Counts
82 → 113
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))))) (/.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)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(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)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f))
(/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64))))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 f f)
(/.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 #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)))
#s(literal 1/32 binary64)
(*.f64 (PI.f64) (PI.f64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 2 binary64)
(neg.f64 (*.f64 (*.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)))))
(*.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))))
(*.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)))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 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)))
#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)))
(*.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))
#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))
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)))))
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#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 (+ (* (/ (log f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) #s(hole binary64 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))) (/ (log (/ 4 (PI))) (PI)))))
#s(approx (/ (log f) (PI)) #s(hole binary64 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))))
#s(approx (log f) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 f))))))
Calls

3 calls:

TimeVariablePointExpression
61.0ms
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 (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (sinh (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 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) (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)) (+ (* (* (PI) 1/12) (* f f)) (/ 4 (PI))) (* (PI) 1/12) 1/12 (* f f) (/ 4 (PI)) (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 f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) (/ (log f) (PI)) (log f) -1 (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI))) (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/32 (* (PI) (PI))) 1/32 (* (PI) (PI)) (* 1/2 (PI)) 1/2 (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (neg (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (pow (/ (PI) 4) -1/2) -1/2 (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)) (* (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)) 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))
53.0ms
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 (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (sinh (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 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) (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)) (+ (* (* (PI) 1/12) (* f f)) (/ 4 (PI))) (* (PI) 1/12) 1/12 (* f f) (/ 4 (PI)) (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 f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) (/ (log f) (PI)) (log f) -1 (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI))) (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/32 (* (PI) (PI))) 1/32 (* (PI) (PI)) (* 1/2 (PI)) 1/2 (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (neg (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (pow (/ (PI) 4) -1/2) -1/2 (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)) (* (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)) 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))
42.0ms
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 (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (PI)) (* (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) -4) (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (sinh (* (* f (PI)) 1/4)) -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (/ 4 (* f (PI))) 4 (neg (* (/ 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) (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)) (+ (* (* (PI) 1/12) (* f f)) (/ 4 (PI))) (* (PI) 1/12) 1/12 (* f f) (/ 4 (PI)) (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 f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) (/ (log f) (PI)) (log f) -1 (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI))) (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/32 (* (PI) (PI))) 1/32 (* (PI) (PI)) (* 1/2 (PI)) 1/2 (/ (log (/ 2 (* 1/2 (PI)))) (PI)) (log (/ 2 (* 1/2 (PI)))) (/ 2 (* 1/2 (PI))) 2 (neg (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (pow (/ (PI) 4) -1/2) -1/2 (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)) (* (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)) 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))

rewrite220.0ms (1.9%)

Memory
28.5MiB live, 261.1MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071513594
08207639
145857347
083997060
Stop Event
iter limit
node limit
iter limit
Counts
195 → 619
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))
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#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 (+ (* (/ (log f) (PI)) -1) (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI)))) #s(hole binary64 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))) (/ (log (/ 4 (PI))) (PI)))))
#s(approx (/ (log f) (PI)) #s(hole binary64 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))))
#s(approx (log f) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 f))))))
Outputs
#s(approx (neg (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (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 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64))) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)) (PI.f64))
(*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))))
(log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal -4 binary64)))
(-.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 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))))
(-.f64 (log.f64 (neg.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (log.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))))
(+.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 #s(literal 1/4 binary64) f) (PI.f64))) #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 #s(literal 1/4 binary64) f) (PI.f64))))))
(log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
(*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #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 #s(literal 1/4 binary64) f) (PI.f64)))))
(/.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 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))
(/.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)))
(/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (neg.f64 (*.f64 f (PI.f64)))) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #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 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)) (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(cosh.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))
(cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(cosh.f64 (*.f64 (*.f64 #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)))
(*.f64 (PI.f64) (*.f64 f #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
f
(PI.f64)
#s(literal 1/4 binary64)
(/.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))
#s(literal -4 binary64)
#s(approx (neg (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f)) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))))
(*.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 (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)))
(*.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 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(/.f64 #s(literal -4 binary64) (neg.f64 (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 2 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 (PI.f64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -1 binary64)))
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#s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)))
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#s(approx (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (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 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64)))
#s(approx (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (fma.f64 (*.f64 f (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64)))) #s(literal 2 binary64) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64))))
#s(approx (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal -2 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)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) #s(literal 0 binary64))) (PI.f64)) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (PI.f64))))) f (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64))))
#s(approx (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 f (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal -2 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))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/192 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 0 binary64)))) (PI.f64))) (*.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal -2 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)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64)) #s(literal 0 binary64))) (PI.f64)) #s(literal 2 binary64))) f (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 0 binary64))) (PI.f64))) f (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal 4 binary64))))
#s(approx (* (+ (* (/ (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 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f))
#s(approx (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f))
#s(approx (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f))
#s(approx (neg (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) 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 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) 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 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) #s(literal -4 binary64)))
#s(approx (log (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4)))) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))))
#s(approx (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
#s(approx (cosh (* (* f (PI)) 1/4)) (*.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (sinh (* (* f (PI)) 1/4)) (*.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)))
#s(approx (* (* (pow (/ (PI) 4) -1/2) (pow (/ (PI) 4) -1/2)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (*.f64 (/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))))
#s(approx (/ (+ (* (/ 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 (+ (* (/ 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 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f))
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#s(approx (+ (* (* (PI) 1/12) (* f f)) (/ 4 (PI))) (*.f64 (*.f64 (*.f64 f f) (PI.f64)) #s(literal 1/12 binary64)))
#s(approx (+ (* (* (PI) 1/12) (* f f)) (/ 4 (PI))) (*.f64 (fma.f64 #s(literal 1/12 binary64) (PI.f64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) (*.f64 f f)))
#s(approx (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (*.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (/.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 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64))))) (PI.f64)))
#s(approx (+ (* (/ (log 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)))
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#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 (+ (* (/ (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))))

eval108.0ms (0.9%)

Memory
12.2MiB live, 198.0MiB allocated; 23ms collecting garbage
Compiler

Compiled 54 409 to 3 936 computations (92.8% saved)

prune65.0ms (0.6%)

Memory
-2.6MiB live, 89.6MiB allocated; 5ms collecting garbage
Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New6129621
Fresh41418
Picked325
Done000
Total61925644
Accuracy
98.2%
Counts
644 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(*.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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
96.8%
(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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
96.3%
(neg.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 #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)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
96.7%
(neg.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (*.f64 (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 (fma.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #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 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))))
7.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
7.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 f #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)) (exp.f64 (fma.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))))))
7.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(literal 3 binary64))) (fma.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (fma.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (*.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))))))
7.7%
(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 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
5.0%
(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)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
7.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
8.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
95.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
49.3%
(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 (fma.f64 (PI.f64) #s(literal 1/12 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 f f) (PI.f64)))) f))))))
1.7%
(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 (*.f64 (PI.f64) #s(literal 1/12 binary64)) f))))))
96.0%
(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)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (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))))))))
81.3%
(neg.f64 (log.f64 (pow.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
97.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (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)))
96.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 #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 #s(literal -1/4 binary64) (PI.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)))) (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)))
31.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal -4 binary64))) (PI.f64)))
96.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #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)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #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) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))) #s(literal -4 binary64)))
Compiler

Compiled 3 616 to 1 855 computations (48.7% saved)

series192.0ms (1.7%)

Memory
-3.9MiB live, 371.1MiB allocated; 32ms collecting garbage
Counts
111 → 156
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 #s(approx (/ (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 #s(literal -1/4 binary64) (PI.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)))) (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)))
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(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (PI.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)))) (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))
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(*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64))
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f
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#s(literal -4 binary64)
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(*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (PI.f64))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 #s(literal 4 binary64) f)
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#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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f)
(*.f64 #s(literal 1/12 binary64) (PI.f64))
#s(literal 1/12 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
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(*.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)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (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 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (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)))
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(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (*.f64 (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 (fma.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #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 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f)))))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 (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 (fma.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #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 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))))
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#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (/.f64 #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 1/8 binary64) (PI.f64))) f #s(literal 0 binary64)) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))
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#s(literal 1/8 binary64)
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
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56.0ms
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@-inf
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rewrite316.0ms (2.7%)

Memory
3.4MiB live, 429.5MiB allocated; 73ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097032951
0112922065
1609621959
0838821110
Stop Event
iter limit
node limit
iter limit
Counts
267 → 707
Calls
Call 1
Inputs
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Outputs
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#s(approx (/ (+ (* (+ (* (+ (* (* (pow (PI) 3) (/ 1/192 (pow (* 1/2 (PI)) 2))) -2) (* 1/8 (PI))) f) 0) f) (/ 4 (PI))) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f))
#s(approx (/ (+ (* (+ (* (+ (* (* (pow (PI) 3) (/ 1/192 (pow (* 1/2 (PI)) 2))) -2) (* 1/8 (PI))) f) 0) f) (/ 4 (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 (+ (* (+ (* (+ (* (* (pow (PI) 3) (/ 1/192 (pow (* 1/2 (PI)) 2))) -2) (* 1/8 (PI))) f) 0) f) (/ 4 (PI))) (*.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f))
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#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)))
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#s(approx (log f) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
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eval626.0ms (5.4%)

Memory
14.8MiB live, 776.7MiB allocated; 217ms collecting garbage
Compiler

Compiled 300 689 to 14 486 computations (95.2% saved)

prune99.0ms (0.9%)

Memory
-12.7MiB live, 222.6MiB allocated; 31ms collecting garbage
Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1 364111 375
Fresh51318
Picked415
Done022
Total1 373271 400
Accuracy
98.2%
Counts
1 400 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (neg.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 4 binary64) (PI.f64)))))))
49.4%
(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))))
1.7%
(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 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
96.3%
(neg.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) #s(literal 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 #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)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
96.0%
(neg.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (*.f64 (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))))) #s(approx (/ (+ (* (+ (* (+ (* (* (pow (PI) 3) (/ 1/192 (pow (* 1/2 (PI)) 2))) -2) (* 1/8 (PI))) f) 0) f) (/ 4 (PI))) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))))))
1.7%
(neg.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (*.f64 (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))))) #s(approx (/ (+ (* (+ (* (+ (* (* (pow (PI) 3) (/ 1/192 (pow (* 1/2 (PI)) 2))) -2) (* 1/8 (PI))) f) 0) f) (/ 4 (PI))) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f)))))))
96.8%
(neg.f64 (*.f64 (/.f64 (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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f))) (PI.f64)) #s(literal 4 binary64)))
7.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
7.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 f #s(literal 3 binary64))) (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (+.f64 f f)) (+.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 f)) #s(literal 2 binary64)) (exp.f64 (fma.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))))))
7.7%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) #s(literal 3 binary64))) (fma.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (fma.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f))) (*.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (neg.f64 f)))))))))))
7.7%
(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 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) #s(literal 4 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
5.0%
(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)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64)))))))
7.8%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
95.9%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))))))
8.1%
(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)))))) (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 f (PI.f64))))))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64))))))))))
81.3%
(neg.f64 (log.f64 (pow.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f)) (/.f64 #s(literal 4 binary64) (PI.f64)))))
96.1%
#s(approx (neg (* (pow (/ (PI) 4) -1/2) (* (pow (/ (PI) 4) -1/2) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))) (*.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)))
97.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (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)))
96.2%
#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 #s(literal -1/4 binary64) (PI.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)))) (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 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64))) (*.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64) (*.f64 #s(literal -1/384 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)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 #s(approx (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) (/.f64 (fma.f64 #s(approx (- (* (- (+ (* (- (neg (/ (+ (* -1/128 (pow (PI) 3)) (* (* (* -1/32 (* (PI) (PI))) (PI)) -1/4)) (* 1/2 (PI)))) (+ (* (* (- (* 1/384 (pow (PI) 3)) (+ (* (* (* (* (PI) (PI)) 1/32) (PI)) -1/4) (* 1/192 (pow (PI) 3)))) (/ 0 (pow (PI) 3))) -2) (+ (* 0 (/ (- (/ (* (* (PI) (PI)) 1/16) (* 1/2 (PI))) (+ (* (/ (- (* 1/384 (pow (PI) 3)) (+ (* (* (* (* (PI) (PI)) 1/32) (PI)) -1/4) (* 1/192 (pow (PI) 3)))) (pow (* 1/2 (PI)) 2)) 2) (/ 0 (pow (PI) 3)))) (* 1/2 (PI)))) (* (/ (- (* (pow (PI) 4) 1/6144) (+ (* (* -1/4 (PI)) (+ (* (* (* (* (PI) (PI)) 1/32) (PI)) -1/4) (* 1/192 (pow (PI) 3)))) (+ (* (pow (PI) 4) 1/2048) (* (* -1/32 (* (PI) (PI))) (* (* (PI) (PI)) 1/32))))) (pow (* 1/2 (PI)) 2)) 2)))) f) (/ (* (* (PI) (PI)) 1/16) (* 1/2 (PI)))) (+ (* (/ (- (* 1/384 (pow (PI) 3)) (+ (* (* (* (* (PI) (PI)) 1/32) (PI)) -1/4) (* 1/192 (pow (PI) 3)))) (pow (* 1/2 (PI)) 2)) 2) (/ 0 (pow (PI) 3)))) f) (/ 0 (pow (* 1/2 (PI)) 2))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2048 binary64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 0 binary64)) (PI.f64)) #s(literal 2 binary64))) (*.f64 f f)))) f (/.f64 #s(literal 4 binary64) (PI.f64))) f))) #s(literal -4 binary64)) (PI.f64)))
1.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (*.f64 (log.f64 #s(approx (/ (cosh (* (* f (PI)) 1/4)) (sinh (* (* f (PI)) 1/4))) #s(approx (/ (+ (* (- (* (- (+ (* (- (neg (/ (+ (* -1/128 (pow (PI) 3)) (* (* (* -1/32 (* (PI) (PI))) (PI)) -1/4)) (* 1/2 (PI)))) (+ (* (* (- (* 1/384 (pow (PI) 3)) (+ (* (* (* (* (PI) (PI)) 1/32) (PI)) -1/4) (* 1/192 (pow (PI) 3)))) (/ 0 (pow (PI) 3))) -2) (+ (* 0 (/ (- (/ (* (* (PI) (PI)) 1/16) (* 1/2 (PI))) (+ (* (/ (- (* 1/384 (pow (PI) 3)) (+ (* (* (* (* (PI) (PI)) 1/32) (PI)) -1/4) (* 1/192 (pow (PI) 3)))) (pow (* 1/2 (PI)) 2)) 2) (/ 0 (pow (PI) 3)))) (* 1/2 (PI)))) (* (/ (- (* (pow (PI) 4) 1/6144) (+ (* (* -1/4 (PI)) (+ (* (* (* (* (PI) (PI)) 1/32) (PI)) -1/4) (* 1/192 (pow (PI) 3)))) (+ (* (pow (PI) 4) 1/2048) (* (* -1/32 (* (PI) (PI))) (* (* (PI) (PI)) 1/32))))) (pow (* 1/2 (PI)) 2)) 2)))) f) (/ (* (* (PI) (PI)) 1/16) (* 1/2 (PI)))) (+ (* (/ (- (* 1/384 (pow (PI) 3)) (+ (* (* (* (* (PI) (PI)) 1/32) (PI)) -1/4) (* 1/192 (pow (PI) 3)))) (pow (* 1/2 (PI)) 2)) 2) (/ 0 (pow (PI) 3)))) f) (/ 0 (pow (* 1/2 (PI)) 2))) f) (/ 4 (PI))) f) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/6144 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (PI.f64)) #s(literal -1/4 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2048 binary64)))) (*.f64 (PI.f64) (PI.f64))) #s(literal 8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 0 binary64)) (PI.f64)) #s(literal 2 binary64))) (*.f64 f f)))))) #s(literal -4 binary64)) (PI.f64)))
31.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f64 (log.f64 (pow.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) f) (PI.f64)))) #s(literal -4 binary64))) (PI.f64)))
96.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #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) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64))))) #s(literal -4 binary64)))
Compiler

Compiled 7 195 to 1 889 computations (73.7% saved)

regimes84.0ms (0.7%)

Memory
29.9MiB live, 120.3MiB allocated; 11ms collecting garbage
Counts
54 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
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#s(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 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (neg.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 1/128 binary64) (pow.f64 (PI.f64) #s(literal 3 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)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 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))))) f (/.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)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 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)))) f (*.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)))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 2 binary64))))) f (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) f))) (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 #s(literal -1/4 binary64) (PI.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)))) (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 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64))) (*.f64 (*.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal -1/384 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/384 binary64) (*.f64 #s(literal -1/384 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)))
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:

20.0ms
(*.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)))))))
17.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
13.0ms
f
10.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
10.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
97.6%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.6%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)))))
97.6%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))))))
97.6%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)))))))
97.6%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))))))))
97.6%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes87.0ms (0.7%)

Memory
-36.3MiB live, 73.4MiB allocated; 61ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (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) (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))))) (/.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 (/.f64 #s(literal 2 binary64) f) (*.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))) (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))))))
(neg.f64 (*.f64 (/.f64 (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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f))) (PI.f64)) #s(literal 4 binary64)))
(*.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))))) (/.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #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))))
(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)) (fma.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)) (*.f64 f f) (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))))
(neg.f64 (/.f64 (*.f64 #s(literal 1 binary64) (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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (fma.f64 (*.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #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 (* (pow (/ (PI) 4) -1/2) (* (pow (/ (PI) 4) -1/2) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))) (*.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 (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)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (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 #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) #s(approx (+ (* (* (/ f (PI)) (/ (- (* 1/32 (* (PI) (PI))) (* 1/32 (* (PI) (PI)))) (* 1/2 (PI)))) -1) (/ (log (/ 2 (* 1/2 (PI)))) (PI))) (/.f64 (log.f64 (/.f64 #s(literal 4 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)))) (- (+ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (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))))))))
(neg.f64 (log.f64 (pow.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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f)) (/.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 #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)))
(log.f64 (pow.f64 #s(approx (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(neg.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (*.f64 (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))))) #s(approx (/ (+ (* (+ (* (+ (* (* (pow (PI) 3) (/ 1/192 (pow (* 1/2 (PI)) 2))) -2) (* 1/8 (PI))) f) 0) f) (/ 4 (PI))) f) (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f)))))))
Outputs
(neg.f64 (*.f64 (/.f64 (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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f))) (PI.f64)) #s(literal 4 binary64)))
Calls

6 calls:

31.0ms
(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))))))))
31.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms
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
96.8%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.8%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.8%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.8%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.8%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.8%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes14.0ms (0.1%)

Memory
26.1MiB live, 26.1MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (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) (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))))) (/.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 (/.f64 #s(literal 2 binary64) f) (*.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))) (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))))))
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 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
Calls

6 calls:

3.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
3.0ms
f
2.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
2.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
2.0ms
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
Results
AccuracySegmentsBranch
96.1%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.1%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.1%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.1%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.1%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.1%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes7.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(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)))
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:

1.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
1.0ms
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)))))))
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
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
Results
AccuracySegmentsBranch
96.1%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.1%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.1%1f
96.1%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.1%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.1%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify54.0ms (0.5%)

Memory
-17.1MiB live, 73.6MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080250
1166240
2498236
32681236
Stop Event
node limit
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)))
(neg.f64 (*.f64 (/.f64 (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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f))) (PI.f64)) #s(literal 4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) 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 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (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 (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)))
(neg.f64 (*.f64 (/.f64 (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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f))) (PI.f64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (PI.f64)) f) f (/.f64 #s(literal 4 binary64) (PI.f64)))) f))) (neg.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 (/ 2 (* (* (PI) 1/2) f)) (/.f64 (/.f64 #s(literal 4 binary64) 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 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))

derivations207.0ms (1.8%)

Memory
-20.7MiB live, 218.5MiB allocated; 33ms collecting garbage
Stop Event
fuel
Compiler

Compiled 256 to 81 computations (68.4% saved)

preprocess28.0ms (0.2%)

Memory
2.9MiB live, 49.9MiB allocated; 4ms collecting garbage
Compiler

Compiled 586 to 194 computations (66.9% saved)

end0.0ms (0%)

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

Profiling

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