VandenBroeck and Keller, Equation (20)

Time bar (total: 11.2s)

start0.0ms (0%)

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

analyze235.0ms (2.1%)

Memory
4.8MiB live, 278.9MiB allocated; 38ms 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)

sample6.9s (61.5%)

Memory
78.8MiB live, 7 907.5MiB allocated; 2.6s collecting garbage
Samples
3.1s7 896×1valid
2.5s7 471×1invalid
202.0ms163×2valid
21.0ms197×0valid
1.0ms0invalid
1.0ms0exit
Precisions
Click to see histograms. Total time spent on operations: 5.2s
ival-exp: 1.2s (23.5% of total)
ival-mult: 997.0ms (19.1% of total)
ival-div: 799.0ms (15.3% of total)
adjust: 784.0ms (15% of total)
ival-log: 388.0ms (7.4% of total)
ival-neg: 335.0ms (6.4% of total)
ival-pi: 281.0ms (5.4% of total)
ival-sub: 208.0ms (4% of total)
ival-add: 178.0ms (3.4% of total)
exact: 22.0ms (0.4% of total)
ival-assert: 7.0ms (0.1% of total)
Bogosity

explain400.0ms (3.6%)

Memory
26.0MiB live, 461.1MiB allocated; 134ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2470-0-(-.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))))
40-0-(/.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))
14(66246700.14448959)0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
00-0-(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
00-0-#s(literal 4 binary64)
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
00-0-(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
00-0-f
00-0-(/.f64 (PI.f64) #s(literal 4 binary64))
00-0-(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))cancellation2470
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))))))sensitivity50
/.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/o40
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow4
(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow4
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))overflow4
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))overflow4
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 -
+2520
-04
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25200
-004
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
04
1247
24
31
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
174.0ms492×1valid
7.0ms2valid
2.0ms12×0valid
Compiler

Compiled 433 to 52 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-exp: 37.0ms (26.1% of total)
adjust: 21.0ms (14.8% of total)
ival-div: 21.0ms (14.8% of total)
ival-neg: 18.0ms (12.7% of total)
ival-mult: 14.0ms (9.9% of total)
ival-log: 14.0ms (9.9% of total)
ival-pi: 5.0ms (3.5% of total)
ival-sub: 5.0ms (3.5% of total)
ival-add: 5.0ms (3.5% of total)
ival-true: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess163.0ms (1.5%)

Memory
2.0MiB live, 144.9MiB allocated; 32ms 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))))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 (*.f64 (/.f64 f #s(literal -4 binary64)) (PI.f64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))))
Compiler

Compiled 37 to 16 computations (56.8% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
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 (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)

series89.0ms (0.8%)

Memory
-12.3MiB live, 125.4MiB allocated; 9ms 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
41.0ms
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)))))
36.0ms
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)))))
9.0ms
f
@0
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) (PI) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (* (/ (PI) 4) f) f (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite218.0ms (2%)

Memory
30.4MiB live, 206.8MiB allocated; 42ms 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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(*.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)))))

eval59.0ms (0.5%)

Memory
-33.5MiB live, 77.2MiB allocated; 37ms collecting garbage
Compiler

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

prune15.0ms (0.1%)

Memory
-15.7MiB live, 30.9MiB allocated; 4ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New19711208
Fresh000
Picked101
Done000
Total19811209
Accuracy
97.8%
Counts
209 → 11
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)))))))))
7.6%
(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 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
7.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (+.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))))))))
96.1%
(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)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
7.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (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)))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
7.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 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))))))))
78.6%
(neg.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
97.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.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 986 to 550 computations (44.2% saved)

series517.0ms (4.6%)

Memory
25.5MiB live, 529.7MiB allocated; 93ms collecting garbage
Counts
57 → 168
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))) (PI.f64))
(log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
#s(literal 2 binary64)
(cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))
(*.f64 (PI.f64) f)
(PI.f64)
f
#s(literal -1/4 binary64)
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))
(sinh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (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))))))
(*.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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(log.f64 (/.f64 (+.f64 (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))))
(/.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)))
(+.f64 (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))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))
(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)))))))))
(*.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))))))))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))))
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (sinh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
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#s(approx (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) #s(hole binary64 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) #s(hole binary64 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (* (/ (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)))))
Calls

3 calls:

TimeVariablePointExpression
224.0ms
f
@-inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) 2 (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (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)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (sinh (* f (/ (PI) 4))) (neg (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)))) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (pow (/ (PI) 4) -1) -1)
214.0ms
f
@inf
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (* 2 (cosh (* (* (PI) f) -1/4))) 2 (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) (PI) f -1/4 (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) 1/4 -4 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (log (/ 2 (* (* (PI) 1/2) f))) (/ 2 (* (* (PI) 1/2) f)) (* (* (PI) 1/2) f) (* (PI) 1/2) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 1 (/ (PI) 4) 4 (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (+ (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)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (sinh (* f (/ (PI) 4))) (neg (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)))) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (pow (/ (PI) 4) -1) -1)
45.0ms
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))))) (+ (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)) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))))) (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4))))))) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (log (* 2 (cosh (* f (/ (PI) 4))))) (* 2 (cosh (* f (/ (PI) 4)))) (cosh (* f (/ (PI) 4))) (* f (/ (PI) 4)) (log (* 2 (sinh (* f (/ (PI) 4))))) (* 2 (sinh (* f (/ (PI) 4)))) (sinh (* f (/ (PI) 4))) (neg (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)))) (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1))) (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (pow (/ (PI) 4) -1)) (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) (pow (/ (PI) 4) -1) -1)

rewrite296.0ms (2.6%)

Memory
35.5MiB live, 306.4MiB allocated; 103ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101419418
0110413378
1660413268
0819912778
Stop Event
iter limit
node limit
iter limit
Counts
225 → 413
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)))
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(*.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))))
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#s(literal 1/4 binary64)
#s(literal -4 binary64)
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#s(approx (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) #s(hole binary64 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4)))) #s(hole binary64 (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ -4 (PI))) (log (/ -1 f)))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (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)))
(*.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 (/.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (PI.f64)) (/.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (PI.f64)))
(/.f64 (-.f64 (*.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))) (*.f64 (log.f64 (*.f64 (sinh.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))))) (log.f64 (*.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 (-.f64 (pow.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (*.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (fma.f64 (log.f64 (*.f64 (sinh.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 (*.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 (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 #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))))))
(+.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)))))
(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 (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 (/.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 (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)
#s(literal -4 binary64)
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#s(approx (* (PI) f) (*.f64 f (PI.f64)))
#s(approx f f)
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#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 (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (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 (log (pow (* 1 (/ (cosh (* f (/ (PI) 4))) (sinh (* f (/ (PI) 4))))) (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))))) (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 (* (/ (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)))))

eval133.0ms (1.2%)

Memory
-7.5MiB live, 182.4MiB allocated; 46ms collecting garbage
Compiler

Compiled 30 574 to 2 610 computations (91.5% saved)

prune34.0ms (0.3%)

Memory
9.9MiB live, 66.8MiB allocated; 8ms collecting garbage
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New45619475
Fresh426
Picked505
Done000
Total46521486
Accuracy
98.1%
Counts
486 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
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 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
96.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
96.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
7.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
96.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))
95.6%
(neg.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 (+.f64 (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))))))
77.2%
(neg.f64 (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)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
97.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (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)))
95.7%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (PI.f64)) #s(literal -4 binary64)))
96.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
97.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (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))))) (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)))
97.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (+.f64 (log.f64 #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))))) (PI.f64)) #s(literal -4 binary64)))
7.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #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)))))) (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)))
96.2%
#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 #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)))
95.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (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 #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 2 224 to 1 292 computations (41.9% saved)

series436.0ms (3.9%)

Memory
13.4MiB live, 625.6MiB allocated; 141ms collecting garbage
Counts
64 → 130
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (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))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (-.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))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (-.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))))) (PI.f64))
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(log.f64 (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 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 f (PI.f64))
f
(PI.f64)
#s(literal 1/4 binary64)
(log.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)))
#s(literal -4 binary64)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64))
(log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
#s(literal 4 binary64)
#s(approx (neg (* (/ 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 (-.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 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(log.f64 (/.f64 #s(literal 2 binary64) f))
(/.f64 #s(literal 2 binary64) f)
#s(literal 2 binary64)
(log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
(log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
(/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
(+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
#s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) f)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/32 binary64)
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.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))
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
(log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
(/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))
(cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))
(*.f64 (PI.f64) f)
#s(literal -1/4 binary64)
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
Outputs
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#s(approx (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) #s(hole binary64 (+ (* -4 (* f (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (* 4 (/ (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))))))
#s(approx (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) #s(hole binary64 (+ (* 4 (/ (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* f (+ (* -4 (* f (- (* 1/32 (PI)) (* 1/2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 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))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI)))))) (* -4 (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))
#s(approx (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) #s(hole binary64 (+ (* 4 (/ (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* f (+ (* -4 (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* f (+ (* -4 (* f (- (* -1/2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (* 1/6 (/ (+ (* -6 (/ (* (- (* 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))) 2))) (+ (* 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))) (* 6 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (PI)))))) (* -4 (- (* 1/32 (PI)) (* 1/2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 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))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))))))))))))
#s(approx (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) #s(hole binary64 (* -1 (/ (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI)))))
#s(approx (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) #s(hole binary64 (+ (* -1 (/ (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* f (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))
#s(approx (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) #s(hole binary64 (+ (* -1 (/ (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* f (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/32 (PI)) (* 1/2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 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))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))
#s(approx (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) #s(hole binary64 (+ (* -1 (/ (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* f (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/32 (PI)) (* f (- (* -1/2 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))) (PI))) (* 1/6 (/ (+ (* -6 (/ (* (- (* 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))) 2))) (+ (* 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))) (* 6 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (PI)))))) (* 1/2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 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))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))
#s(approx (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) #s(hole binary64 (* -1 (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
#s(approx (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) #s(hole binary64 (- (* f (- (+ (* -1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
#s(approx (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) #s(hole binary64 (- (* f (- (+ (* -1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/32 (pow (PI) 2)) (* 1/2 (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 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))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
#s(approx (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) #s(hole binary64 (- (* f (- (+ (* -1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/32 (pow (PI) 2)) (* f (- (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))) (* 1/6 (+ (* -6 (/ (* (- (* 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))) 2))) (+ (* 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))) (* 6 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 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))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/32 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (+ (log f) (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
#s(approx (log (cosh (* (* f (PI)) 1/4))) #s(hole binary64 (* 1/32 (* (pow f 2) (pow (PI) 2)))))
#s(approx (log (cosh (* (* f (PI)) 1/4))) #s(hole binary64 (* (pow f 2) (+ (* -1/2 (* f (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/32 (pow (PI) 2))))))
#s(approx (log (cosh (* (* f (PI)) 1/4))) #s(hole binary64 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* f (+ (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))) (* 1/24 (* f (+ (* -12 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/1536 (pow (PI) 4))))) (* -3/256 (pow (PI) 4)))))))))))
#s(approx (log (cosh (* (* f (PI)) 1/4))) #s(hole binary64 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* f (+ (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))) (* f (+ (* 1/120 (* f (+ (* -60 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/6144 (pow (PI) 4))))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/384 (* (pow (PI) 3) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/24576 (pow (PI) 5)))))) (* 15/8 (* (pow (PI) 2) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))))))) (* 1/24 (+ (* -12 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/1536 (pow (PI) 4))))) (* -3/256 (pow (PI) 4))))))))))))
#s(approx (cosh (* (* f (PI)) 1/4)) #s(hole binary64 1))
#s(approx (cosh (* (* f (PI)) 1/4)) #s(hole binary64 (+ 1 (* 1/32 (* (pow f 2) (pow (PI) 2))))))
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#s(approx (* (* f (PI)) 1/4) #s(hole binary64 (* 1/4 (* f (PI)))))
#s(approx (* f (PI)) #s(hole binary64 (* f (PI))))
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#s(approx (cosh (* (* (PI) f) -1/4)) #s(hole binary64 (+ 1 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* f (+ (* -1/2 (* f (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/4 (* (PI) (+ (* -1/384 (pow (PI) 3)) (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))))))))))) (* -1/2 (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))))))))))))
#s(approx (* (* (PI) f) -1/4) #s(hole binary64 (* -1/4 (* f (PI)))))
#s(approx (* (PI) f) #s(hole binary64 (* f (PI))))
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#s(approx (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) #s(hole binary64 (* -4 (/ (- (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI)))))
#s(approx (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) #s(hole binary64 (/ (- (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI))))
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#s(approx (log (cosh (* (* f (PI)) 1/4))) #s(hole binary64 (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
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#s(approx (log (sinh (* (* f (PI)) 1/4))) #s(hole binary64 (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
#s(approx (sinh (* (* f (PI)) 1/4)) #s(hole binary64 (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))))
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#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))))
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#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (exp (* 1/4 (* f (PI))))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (* 1/32 (* (pow f 2) (pow (PI) 2)))))
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#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (+ (* 1/4 (/ (PI) f)) (/ 1 (pow f 2)))))))
#s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) #s(hole binary64 (* 1/32 (* f (pow (PI) 2)))))
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#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (exp (neg (* 1/4 (* f (PI)))))))
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#s(approx (* 2 (cosh (* (* (PI) f) -1/4))) #s(hole binary64 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))))
#s(approx (cosh (* (* (PI) f) -1/4)) #s(hole binary64 (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))))
#s(approx (* (/ (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 (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) #s(hole binary64 (* -4 (/ (- (+ (log -2) (log (/ -1 f))) (log (* 1/2 (PI)))) (PI)))))
#s(approx (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) #s(hole binary64 (/ (- (+ (log -2) (log (/ -1 f))) (log (* 1/2 (PI)))) (PI))))
#s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) #s(hole binary64 (- (+ (log -2) (log (/ -1 f))) (log (* 1/2 (PI))))))
#s(approx (log (/ 2 f)) #s(hole binary64 (+ (log -2) (log (/ -1 f)))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* -1 (/ (- (* -1/4 (PI)) (/ 1 f)) f)) (* 1/32 (pow (PI) 2))))))
#s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) #s(hole binary64 (* -1 (* f (+ (* -1/4 (/ (PI) f)) (* -1/32 (pow (PI) 2)))))))
Calls

3 calls:

TimeVariablePointExpression
243.0ms
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))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* 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)))))))) (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) (- (log (/ 2 f)) (log (* 1/2 (PI)))) (log (/ 2 f)) (/ 2 f) 2 (log (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 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))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) (* (* (PI) (PI)) f) (* (PI) (PI)) 1/32 (* 1/4 (PI)) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (* (PI) 1/2) f) (* (PI) 1/2) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (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)))) (* 2 (cosh (* (* (PI) f) -1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) -1/4 (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)))
129.0ms
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))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* 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)))))))) (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) (- (log (/ 2 f)) (log (* 1/2 (PI)))) (log (/ 2 f)) (/ 2 f) 2 (log (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 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))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) (* (* (PI) (PI)) f) (* (PI) (PI)) 1/32 (* 1/4 (PI)) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (* (PI) 1/2) f) (* (PI) 1/2) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (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)))) (* 2 (cosh (* (* (PI) f) -1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) -1/4 (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)))
57.0ms
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))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (cosh (* (* f (PI)) 1/4))) (cosh (* (* f (PI)) 1/4)) (* (* f (PI)) 1/4) (* f (PI)) f (PI) 1/4 (log (sinh (* (* 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)))))))) (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) (- (log (/ 2 f)) (log (* 1/2 (PI)))) (log (/ 2 f)) (/ 2 f) 2 (log (* 1/2 (PI))) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (/ 1 (/ (PI) 4)) 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))))) (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)) (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) (* (* (PI) (PI)) f) (* (PI) (PI)) 1/32 (* 1/4 (PI)) (exp (neg (* (/ (PI) 4) f))) (neg (* (/ (PI) 4) f)) (* (/ (PI) 4) f) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (* (* (PI) 1/2) f) (* (PI) 1/2) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (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)))) (* 2 (cosh (* (* (PI) f) -1/4))) (cosh (* (* (PI) f) -1/4)) (* (* (PI) f) -1/4) (* (PI) f) -1/4 (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (exp (* (/ (PI) 4) f)))

rewrite220.0ms (2%)

Memory
-15.1MiB live, 367.3MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07989189
08866507
151136380
084116165
Stop Event
iter limit
node limit
iter limit
Counts
194 → 397
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (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))))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 (-.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))))) (PI.f64)) #s(literal -4 binary64))
(/.f64 (-.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))))) (PI.f64))
(-.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(log.f64 (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 f (PI.f64)) #s(literal 1/4 binary64))
(*.f64 f (PI.f64))
f
(PI.f64)
#s(literal 1/4 binary64)
(log.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)))
#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))
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#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 2))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/16 (* f (pow (PI) 2))) (* 1/4 (PI))))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/4 (PI)) (* f (+ (* 1/16 (pow (PI) 2)) (* f (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))))))))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 1))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* 1/4 (* f (PI))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* f (+ (* 1/32 (* f (pow (PI) 2))) (* 1/4 (PI)))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (+ 1 (* f (+ (* 1/4 (PI)) (* f (+ (* 1/384 (* f (pow (PI) 3))) (* 1/32 (pow (PI) 2)))))))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (+ 1 (* 1/4 (* f (PI))))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (+ 1 (* f (+ (* 1/32 (* f (pow (PI) 2))) (* 1/4 (PI)))))))
#s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) #s(hole binary64 (* 1/4 (PI))))
#s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) #s(hole binary64 (+ (* 1/32 (* f (pow (PI) 2))) (* 1/4 (PI)))))
#s(approx (* (* (PI) (PI)) f) #s(hole binary64 (* f (pow (PI) 2))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 1))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (+ 1 (* -1/4 (* f (PI))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (+ 1 (* f (+ (* -1/4 (PI)) (* 1/32 (* f (pow (PI) 2))))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (+ 1 (* f (+ (* -1/4 (PI)) (* f (+ (* -1/384 (* f (pow (PI) 3))) (* 1/32 (pow (PI) 2)))))))))
#s(approx (neg (* (/ (PI) 4) f)) #s(hole binary64 (* -1/4 (* f (PI)))))
#s(approx (* (/ (PI) 4) f) #s(hole binary64 (* 1/4 (* f (PI)))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))))
#s(approx (* (* (PI) 1/2) f) #s(hole binary64 (* 1/2 (* f (PI)))))
#s(approx (* 2 (cosh (* (* (PI) f) -1/4))) #s(hole binary64 2))
#s(approx (* 2 (cosh (* (* (PI) f) -1/4))) #s(hole binary64 (+ 2 (* 1/16 (* (pow f 2) (pow (PI) 2))))))
#s(approx (* 2 (cosh (* (* (PI) f) -1/4))) #s(hole binary64 (+ 2 (* (pow f 2) (+ (* -1 (* f (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))))) (* 1/16 (pow (PI) 2)))))))
#s(approx (* 2 (cosh (* (* (PI) f) -1/4))) #s(hole binary64 (+ 2 (* (pow f 2) (+ (* 1/16 (pow (PI) 2)) (* f (+ (* -1 (* f (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/4 (* (PI) (+ (* -1/384 (pow (PI) 3)) (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))))))))))) (* -1 (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))))))))))))
#s(approx (cosh (* (* (PI) f) -1/4)) #s(hole binary64 1))
#s(approx (cosh (* (* (PI) f) -1/4)) #s(hole binary64 (+ 1 (* 1/32 (* (pow f 2) (pow (PI) 2))))))
#s(approx (cosh (* (* (PI) f) -1/4)) #s(hole binary64 (+ 1 (* (pow f 2) (+ (* -1/2 (* f (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))))) (* 1/32 (pow (PI) 2)))))))
#s(approx (cosh (* (* (PI) f) -1/4)) #s(hole binary64 (+ 1 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* f (+ (* -1/2 (* f (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/4 (* (PI) (+ (* -1/384 (pow (PI) 3)) (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))))))))))) (* -1/2 (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))))))))))))
#s(approx (* (* (PI) f) -1/4) #s(hole binary64 (* -1/4 (* f (PI)))))
#s(approx (* (PI) f) #s(hole binary64 (* f (PI))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(hole binary64 (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (* (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) -4) #s(hole binary64 (* -4 (/ (- (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI)))))
#s(approx (/ (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (PI)) #s(hole binary64 (/ (- (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (PI))))
#s(approx (- (log (cosh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) #s(hole binary64 (- (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))))
#s(approx (log (cosh (* (* f (PI)) 1/4))) #s(hole binary64 (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
#s(approx (cosh (* (* f (PI)) 1/4)) #s(hole binary64 (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (log (sinh (* (* f (PI)) 1/4))) #s(hole binary64 (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
#s(approx (sinh (* (* f (PI)) 1/4)) #s(hole binary64 (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) #s(hole binary64 (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary64 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary64 (+ (log (/ 1 f)) (log (/ 4 (PI))))))
#s(approx (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) #s(hole binary64 (* -4 (/ (- (+ (log 2) (log (/ 1 f))) (log (* 1/2 (PI)))) (PI)))))
#s(approx (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) #s(hole binary64 (/ (- (+ (log 2) (log (/ 1 f))) (log (* 1/2 (PI)))) (PI))))
#s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) #s(hole binary64 (- (+ (log 2) (log (/ 1 f))) (log (* 1/2 (PI))))))
#s(approx (log (/ 2 f)) #s(hole binary64 (+ (log 2) (log (/ 1 f)))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (exp (* 1/4 (* f (PI))))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (* 1/32 (* (pow f 2) (pow (PI) 2)))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* 1/4 (/ (PI) f))))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (+ (* 1/4 (/ (PI) f)) (/ 1 (pow f 2)))))))
#s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) #s(hole binary64 (* 1/32 (* f (pow (PI) 2)))))
#s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) #s(hole binary64 (* f (+ (* 1/32 (pow (PI) 2)) (* 1/4 (/ (PI) f))))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (exp (neg (* 1/4 (* f (PI)))))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
#s(approx (* 2 (cosh (* (* (PI) f) -1/4))) #s(hole binary64 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))))
#s(approx (cosh (* (* (PI) f) -1/4)) #s(hole binary64 (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))))
#s(approx (* (/ (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 (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) #s(hole binary64 (* -4 (/ (- (+ (log -2) (log (/ -1 f))) (log (* 1/2 (PI)))) (PI)))))
#s(approx (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) #s(hole binary64 (/ (- (+ (log -2) (log (/ -1 f))) (log (* 1/2 (PI)))) (PI))))
#s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) #s(hole binary64 (- (+ (log -2) (log (/ -1 f))) (log (* 1/2 (PI))))))
#s(approx (log (/ 2 f)) #s(hole binary64 (+ (log -2) (log (/ -1 f)))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* -1 (/ (- (* -1/4 (PI)) (/ 1 f)) f)) (* 1/32 (pow (PI) 2))))))
#s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) #s(hole binary64 (* -1 (* f (+ (* -1/4 (/ (PI) f)) (* -1/32 (pow (PI) 2)))))))
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 (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 (/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 2 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 (-.f64 (pow.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.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 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(log.f64 (/.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
(-.f64 (log.f64 (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(log.f64 (cosh.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)) #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) (*.f64 f (PI.f64)))
(*.f64 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
f
(PI.f64)
#s(literal 1/4 binary64)
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (log.f64 #s(literal 2 binary64)))
(log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 2 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 (cosh (* (* f (PI)) 1/4))) (log.f64 (*.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 (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 (log (sinh (* (* f (PI)) 1/4))) (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64))))
#s(approx (sinh (* (* f (PI)) 1/4)) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 1/2 binary64)))
#s(approx (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (PI.f64)))
#s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
#s(approx (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) (*.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)) (PI.f64)))
#s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) f)))
#s(approx (log (/ 2 f)) (log.f64 (/.f64 #s(literal 2 binary64) f)))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 (cosh.f64 (*.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)))))) (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 (cosh.f64 (*.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)))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 (*.f64 (cosh.f64 (*.f64 (*.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))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
#s(approx (exp (* (/ (PI) 4) f)) (pow.f64 (exp.f64 f) (*.f64 #s(literal 1/4 binary64) (PI.f64))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (/.f64 (PI.f64) f) #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) (*.f64 f f)))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64) (fma.f64 (/.f64 (PI.f64) f) #s(literal 1/4 binary64) (pow.f64 f #s(literal -2 binary64)))) (*.f64 f f)))
#s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64)))
#s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) (*.f64 (fma.f64 (/.f64 (PI.f64) f) #s(literal 1/4 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f))
#s(approx (exp (neg (* (/ (PI) 4) f))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) f) (PI.f64)))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))
#s(approx (* 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 (* (* 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 (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (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 f)) (log (* 1/2 (PI)))) (PI)) (/.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))) (PI.f64)))
#s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -4 binary64) (PI.f64)))))
#s(approx (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) (*.f64 (/.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) f)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) (/.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) f)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)))
#s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) f)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
#s(approx (log (/ 2 f)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -2 binary64))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (pow.f64 f #s(literal -1 binary64))) f))) (*.f64 f f)))
#s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) (neg.f64 (*.f64 (fma.f64 (/.f64 (PI.f64) f) #s(literal -1/4 binary64) (*.f64 #s(literal -1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) f)))

eval164.0ms (1.5%)

Memory
-44.4MiB live, 148.0MiB allocated; 91ms collecting garbage
Compiler

Compiled 29 164 to 2 691 computations (90.8% saved)

prune42.0ms (0.4%)

Memory
2.0MiB live, 93.3MiB allocated; 8ms collecting garbage
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New44716463
Fresh9716
Picked235
Done000
Total45826484
Accuracy
98.1%
Counts
484 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
96.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) f) #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
96.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
95.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
96.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
95.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
30.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
96.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
7.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (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 #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 #s(approx (neg (* (/ (PI) 4) f)) (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
95.6%
(neg.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 (+.f64 (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))))))
97.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (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)))
95.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) f) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
97.4%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.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)))))))) (PI.f64)) #s(literal -4 binary64)))
95.7%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (PI.f64)) #s(literal -4 binary64)))
96.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
97.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (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))))) (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)))
96.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 #s(approx (log (cosh (* (* f (PI)) 1/4))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
96.2%
#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 #s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
95.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
97.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) #s(literal -4 binary64)))
95.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (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 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
Compiler

Compiled 2 876 to 1 600 computations (44.4% saved)

series258.0ms (2.3%)

Memory
4.7MiB live, 330.1MiB allocated; 48ms collecting garbage
Counts
59 → 116
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) #s(literal -4 binary64)))
(*.f64 (-.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) #s(literal -4 binary64))
(-.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))
(/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64))
(log.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)))
(*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))
(*.f64 f (PI.f64))
f
(PI.f64)
#s(literal -1/4 binary64)
(/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))
(log.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 f (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
#s(literal -4 binary64)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1 binary64)
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
(/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.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)
#s(approx (neg (* (/ 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 f)) (log (* 1/2 (PI)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64))
(/.f64 #s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64))
#s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(log.f64 f)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))))
(log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (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))))
(/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
(+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
#s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))
(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))))
(log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))
(/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))
(+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))
#s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))
(*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64))
(pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64))
#s(literal 1/32 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))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) #s(hole binary64 (* 4 (+ (/ (log f) (PI)) (/ (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))))
#s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) #s(hole binary64 (+ (* -4 (* f (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))) (* 4 (+ (/ (log f) (PI)) (/ (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI)))))))
#s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) #s(hole binary64 (+ (* 4 (+ (/ (log f) (PI)) (/ (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI)))) (* f (+ (* -4 (* f (- (* 1/32 (PI)) (* 1/2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 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))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI)))))) (* -4 (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))
#s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) #s(hole binary64 (+ (* 4 (+ (/ (log f) (PI)) (/ (log (* 1/2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI)))) (* f (+ (* -4 (- (+ (* -1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/16 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* 1/32 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* f (+ (* -4 (* f (- (* -1/2 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (PI))) (* 1/6 (/ (+ (* -6 (/ (* (- (* 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))) 2))) (+ (* 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))) (* 6 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (PI)))))) (* -4 (- (* 1/32 (PI)) (* 1/2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* 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))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))))))))))))
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Calls

3 calls:

TimeVariablePointExpression
99.0ms
f
@inf
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77.0ms
f
@-inf
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73.0ms
f
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rewrite243.0ms (2.2%)

Memory
-2.9MiB live, 334.8MiB allocated; 65ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07529183
08256471
148466337
082576096
Stop Event
iter limit
node limit
iter limit
Counts
175 → 309
Calls
Call 1
Inputs
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#s(approx (* (/ (PI) 4) f) #s(hole binary64 (* 1/4 (* f (PI)))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 1))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (+ 1 (* 1/4 (* f (PI))))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (+ 1 (* f (+ (* 1/32 (* f (pow (PI) 2))) (* 1/4 (PI)))))))
#s(approx (* (pow (* f (PI)) 2) 1/32) #s(hole binary64 (* 1/32 (* (pow f 2) (pow (PI) 2)))))
#s(approx (pow (* f (PI)) 2) #s(hole binary64 (* (pow f 2) (pow (PI) 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)))))))) #s(hole binary64 (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) #s(hole binary64 (* -4 (- (/ (log (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))) (PI)) (/ (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))))
#s(approx (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) #s(hole binary64 (- (/ (log (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))) (PI)) (/ (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) #s(hole binary64 (/ (log (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))) (PI))))
#s(approx (log (cosh (* (* f (PI)) -1/4))) #s(hole binary64 (log (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))))))
#s(approx (cosh (* (* f (PI)) -1/4)) #s(hole binary64 (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))))
#s(approx (/ (log (sinh (* (* f (PI)) 1/4))) (PI)) #s(hole binary64 (/ (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
#s(approx (log (sinh (* (* f (PI)) 1/4))) #s(hole binary64 (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
#s(approx (sinh (* (* f (PI)) 1/4)) #s(hole binary64 (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) #s(hole binary64 (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) #s(hole binary64 (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(hole binary64 (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI)))))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary64 (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
#s(approx (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) #s(hole binary64 (* -4 (/ (- (+ (log 2) (log (/ 1 f))) (log (* 1/2 (PI)))) (PI)))))
#s(approx (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) #s(hole binary64 (/ (- (+ (log 2) (log (/ 1 f))) (log (* 1/2 (PI)))) (PI))))
#s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) #s(hole binary64 (- (+ (log 2) (log (/ 1 f))) (log (* 1/2 (PI))))))
#s(approx (- (log (/ 4 (PI))) (log f)) #s(hole binary64 (- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))))
#s(approx (log f) #s(hole binary64 (* -1 (log (/ 1 f)))))
#s(approx (exp (* (/ (PI) 4) f)) #s(hole binary64 (exp (* 1/4 (* f (PI))))))
#s(approx (+ (* (* f (PI)) 1/4) 1) #s(hole binary64 (* 1/4 (* f (PI)))))
#s(approx (+ (* (* f (PI)) 1/4) 1) #s(hole binary64 (* f (+ (* 1/4 (PI)) (/ 1 f)))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(hole binary64 (exp (neg (* 1/4 (* f (PI)))))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (* 1/32 (* (pow f 2) (pow (PI) 2)))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* 1/4 (/ (PI) f))))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (+ (* 1/4 (/ (PI) f)) (/ 1 (pow f 2)))))))
#s(approx (* (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) -4) #s(hole binary64 (* -4 (/ (- (+ (log -2) (log (/ -1 f))) (log (* 1/2 (PI)))) (PI)))))
#s(approx (/ (- (log (/ 2 f)) (log (* 1/2 (PI)))) (PI)) #s(hole binary64 (/ (- (+ (log -2) (log (/ -1 f))) (log (* 1/2 (PI)))) (PI))))
#s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) #s(hole binary64 (- (+ (log -2) (log (/ -1 f))) (log (* 1/2 (PI))))))
#s(approx (- (log (/ 4 (PI))) (log f)) #s(hole binary64 (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))))
#s(approx (log f) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 f))))))
#s(approx (+ (* (* f (PI)) 1/4) 1) #s(hole binary64 (* -1 (* f (- (* -1/4 (PI)) (/ 1 f))))))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) #s(hole binary64 (* (pow f 2) (+ (* -1 (/ (- (* -1/4 (PI)) (/ 1 f)) f)) (* 1/32 (pow (PI) 2))))))
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 (pow.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))))))
(/.f64 (-.f64 (*.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) (*.f64 (PI.f64) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (PI.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 (/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64)))
(/.f64 (neg.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))) (log.f64 #s(literal 2 binary64)))
(log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (neg.f64 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64))
(cosh.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))
(cosh.f64 (neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))))
(cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))
(cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1/4 binary64) f) (PI.f64))
(*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 f (PI.f64))))
(*.f64 #s(literal -1/4 binary64) (*.f64 f (PI.f64)))
(*.f64 f (*.f64 #s(literal -1/4 binary64) (PI.f64)))
(neg.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal -1/4 binary64) f)))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(pow.f64 (*.f64 f (PI.f64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 f (PI.f64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
f
(PI.f64)
#s(literal -1/4 binary64)
(/.f64 (neg.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))
(-.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (log.f64 #s(literal 2 binary64)))
(log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #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 f (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 #s(literal 1/4 binary64) f)))
#s(literal 1/4 binary64)
#s(literal -4 binary64)
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(log.f64 (pow.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(*.f64 (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(log.f64 (pow.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (neg.f64 (PI.f64)) #s(literal -4 binary64))
(/.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(-.f64 (log.f64 (neg.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)))) (log.f64 (neg.f64 #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))))
(-.f64 (log.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64))) (log.f64 #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
(log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
(/.f64 (neg.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64))) (neg.f64 #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))))
(/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))
(*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)
(*.f64 f (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (PI.f64) (*.f64 #s(literal 1/2 binary64) f))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal 2 binary64))) (*.f64 (PI.f64) #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1/4 binary64) (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))
(-.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)) (*.f64 #s(literal -1/4 binary64) (PI.f64)))
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#s(approx (- (log (/ 4 (PI))) (log f)) (-.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)))))
#s(approx (log f) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (+ (* (* f (PI)) 1/4) 1) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (pow.f64 f #s(literal -1 binary64))) f)))
#s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) (PI.f64)) (pow.f64 f #s(literal -1 binary64))) f))) (*.f64 f f)))

eval68.0ms (0.6%)

Memory
19.3MiB live, 156.3MiB allocated; 12ms collecting garbage
Compiler

Compiled 30 038 to 2 349 computations (92.2% saved)

prune44.0ms (0.4%)

Memory
11.4MiB live, 112.9MiB allocated; 6ms collecting garbage
Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New4437450
Fresh51318
Picked235
Done033
Total45026476
Accuracy
98.1%
Counts
476 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
96.2%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
95.3%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
30.4%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
30.5%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
96.1%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
7.6%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (*.f64 (PI.f64) f) #s(literal -1/4 binary64))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) f) (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 #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 #s(approx (neg (* (/ (PI) 4) f)) (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))))))))
96.0%
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
95.6%
(neg.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/2 binary64))) (log.f64 (/.f64 (+.f64 (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))))))
97.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (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)))
95.6%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))) (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) f) (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
97.4%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.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)))))))) (PI.f64)) #s(literal -4 binary64)))
95.7%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)))) (PI.f64)) #s(literal -4 binary64)))
97.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) (*.f64 (PI.f64) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))))) (*.f64 (PI.f64) (PI.f64))) #s(literal -4 binary64)))
96.0%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
97.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (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))))) (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 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
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 #s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
95.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
97.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) (PI.f64)) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) #s(literal -4 binary64)))
95.9%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
96.5%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 #s(approx (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (*.f64 (*.f64 (*.f64 f f) (PI.f64)) #s(literal 1/32 binary64))) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) #s(literal -4 binary64)))
96.1%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (log.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)))))))) #s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) f)) (PI.f64)) #s(literal 4 binary64))))
Compiler

Compiled 4 549 to 1 330 computations (70.8% saved)

regimes73.0ms (0.7%)

Memory
16.7MiB live, 160.4MiB allocated; 7ms 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)))))))) #s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(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)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
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(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))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (cosh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.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)))))))) (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 (-.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))))) (PI.f64)) #s(literal -4 binary64)))
Calls

6 calls:

14.0ms
f
12.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
11.0ms
(/.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)))))
11.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
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))))))
Results
AccuracySegmentsBranch
97.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.5%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.5%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.5%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes47.0ms (0.4%)

Memory
-8.0MiB live, 85.1MiB allocated; 4ms collecting garbage
Counts
35 → 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)))))))) #s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(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)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(approx (log (/ 2 (* (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (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 (cosh (* (* f (PI)) -1/4))) (PI)) (*.f64 (*.f64 (*.f64 f f) (PI.f64)) #s(literal 1/32 binary64))) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (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 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) f) #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 #s(approx (log (cosh (* (* f (PI)) 1/4))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (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)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (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 (neg (* (/ 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)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(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))))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (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)))
Calls

6 calls:

8.0ms
f
8.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
8.0ms
(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))))))
7.0ms
(/.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)))))
7.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
Results
AccuracySegmentsBranch
97.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
97.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
97.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
97.5%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
97.5%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
97.5%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes71.0ms (0.6%)

Memory
-34.5MiB live, 63.0MiB allocated; 5ms collecting garbage
Counts
31 → 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)))))))) #s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(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)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(approx (log (/ 2 (* (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (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 (cosh (* (* f (PI)) -1/4))) (PI)) (*.f64 (*.f64 (*.f64 f f) (PI.f64)) #s(literal 1/32 binary64))) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (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 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) f) #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 #s(approx (log (cosh (* (* f (PI)) 1/4))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (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)) (pow.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1 binary64)))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 #s(approx (log (cosh (* (* f (PI)) 1/4))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
Calls

6 calls:

29.0ms
(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))))))))
14.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
7.0ms
f
6.0ms
(*.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)))))))
6.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
96.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.5%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.5%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.5%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes54.0ms (0.5%)

Memory
26.2MiB live, 72.3MiB allocated; 3ms collecting garbage
Counts
29 → 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)))))))) #s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(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)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(approx (log (/ 2 (* (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (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 (cosh (* (* f (PI)) -1/4))) (PI)) (*.f64 (*.f64 (*.f64 f f) (PI.f64)) #s(literal 1/32 binary64))) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (PI.f64)) (/.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (PI.f64))) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (+.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64))) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(approx (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (PI) 4)))))) (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 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) #s(approx (+ (* (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) f) 1) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64)))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 #s(approx (+ (* (* (* (PI) (PI)) f) 1/32) (* 1/4 (PI))) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 #s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (fma.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1 binary64) (fma.f64 (*.f64 (/.f64 f (PI.f64)) (/.f64 (-.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/32 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64))))) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) f) #s(literal -1/384 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/32 binary64))) f (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.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 #s(approx (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (*.f64 (*.f64 (*.f64 f f) (PI.f64)) #s(literal 1/32 binary64))) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) #s(literal -4 binary64)))
Calls

6 calls:

21.0ms
(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))))))
7.0ms
f
7.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
6.0ms
(*.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)))))))
6.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
96.5%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.5%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.5%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.5%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.5%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.5%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes38.0ms (0.3%)

Memory
8.1MiB live, 54.6MiB allocated; 3ms collecting garbage
Counts
17 → 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)))))))) #s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(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)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (*.f64 f (PI.f64)) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(approx (- (log (/ 2 f)) (log (* 1/2 (PI)))) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 #s(approx (log (/ 2 (* (* (PI) 1/2) f))) (fma.f64 (log.f64 f) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) f)) (log.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) (/.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) f)) (PI.f64))) #s(literal -4 binary64)))
Outputs
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
Calls

6 calls:

17.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
4.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
4.0ms
f
4.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
3.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
96.2%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.2%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.2%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.2%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.2%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.2%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes29.0ms (0.3%)

Memory
-15.3MiB live, 32.1MiB allocated; 1ms collecting garbage
Accuracy

Total -0.6b remaining (-25.2%)

Threshold costs -0.6b (-25.2%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 4 binary64) (*.f64 f (PI.f64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))) (PI.f64)) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(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)))) #s(literal 2 binary64)) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) f #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (* 2 (cosh (* f (/ (PI) 4)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) (PI.f64) (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))) f #s(literal 2 binary64))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.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)))))))) #s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) f)) (PI.f64)) #s(literal 4 binary64))))
Calls

6 calls:

15.0ms
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
3.0ms
f
3.0ms
(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
2.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
2.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
Results
AccuracySegmentsBranch
96.1%1(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
96.1%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
96.1%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))
96.1%1(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
96.1%1(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
96.1%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

simplify52.0ms (0.5%)

Memory
7.9MiB live, 60.5MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0102370
1192360
2414360
31333305
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 (-.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))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (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 (neg (* (/ 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 #s(approx (log (cosh (* (* f (PI)) 1/4))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 #s(approx (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (*.f64 (*.f64 (*.f64 f f) (PI.f64)) #s(literal 1/32 binary64))) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (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 (-.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))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (- (log (* 2 (cosh (* f (/ (PI) 4))))) (log (* 2 (sinh (* f (/ (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 (neg (* (/ 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 #s(approx (log (cosh (* (* f (PI)) 1/4))) (*.f64 (pow.f64 (*.f64 f (PI.f64)) #s(literal 2 binary64)) #s(literal 1/32 binary64))) (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64))))) (PI.f64)) #s(literal -4 binary64)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f64 (-.f64 #s(approx (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (*.f64 (*.f64 (*.f64 f f) (PI.f64)) #s(literal 1/32 binary64))) (/.f64 (log.f64 (sinh.f64 (*.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64)))) (PI.f64))) #s(literal -4 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f))))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 #s(approx (exp (* (/ (PI) 4) f)) (fma.f64 (*.f64 f (PI.f64)) #s(literal 1/4 binary64) #s(literal 1 binary64))) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f64 (fma.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) f) #s(literal 1/32 binary64) (*.f64 #s(literal -1/4 binary64) (PI.f64))) f #s(literal 1 binary64)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) f)))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) #s(approx (* (- (/ (log (cosh (* (* f (PI)) -1/4))) (PI)) (/ (log (sinh (* (* f (PI)) 1/4))) (PI))) -4) (*.f64 (/.f64 (log.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/2 binary64)) f)) (PI.f64)) #s(literal 4 binary64))))

derivations245.0ms (2.2%)

Memory
21.9MiB live, 257.1MiB allocated; 16ms collecting garbage
Stop Event
fuel
Compiler

Compiled 369 to 108 computations (70.7% saved)

preprocess68.0ms (0.6%)

Memory
1.0MiB live, 93.1MiB allocated; 8ms collecting garbage
Compiler

Compiled 812 to 248 computations (69.5% saved)

end0.0ms (0%)

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

Profiling

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