VandenBroeck and Keller, Equation (20)

Time bar (total: 9.3s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze173.0ms (1.9%)

Memory
37.2MiB live, 278.4MiB allocated; 92ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.6%0.4%0%0%0%0
0%0%99.6%0.4%0%0%0%1
0%0%99.6%0.4%0%0%0%2
0%0%74.7%0.4%0%24.9%0%3
0%0%62.3%0.4%0%37.4%0%4
12.5%6.2%43.6%0.4%0%49.8%0%5
26.7%12.5%34.2%0.4%0%52.9%0%6
34.5%15.6%29.6%0.4%0%54.5%0%7
38.6%17.1%27.2%0.4%0%55.3%0%8
40.2%17.5%26.1%0.4%0%56%0%9
41.3%17.9%25.5%0.4%0%56.2%0%10
41.3%17.9%25.4%0.4%0%56.3%0%11
41.6%18%25.2%0.4%0%56.4%0%12
Compiler

Compiled 39 to 18 computations (53.8% saved)

sample4.5s (48%)

Memory
109.0MiB live, 5 670.0MiB allocated; 1.9s collecting garbage
Samples
2.0s5 824×1valid
1.4s3 477×1invalid
444.0ms2 432×0valid
0.0ms0invalid
0.0ms0exit
Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-exp: 1.0s (31.6% of total)
ival-div: 474.0ms (14.5% of total)
adjust: 426.0ms (13% of total)
ival-mult: 367.0ms (11.2% of total)
ival-log: 344.0ms (10.5% of total)
ival-add: 196.0ms (6% of total)
ival-neg: 177.0ms (5.4% of total)
ival-pi: 136.0ms (4.2% of total)
ival-sub: 101.0ms (3.1% of total)
exact: 16.0ms (0.5% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain369.0ms (4%)

Memory
-7.8MiB live, 617.0MiB allocated; 63ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1941(0.000490938953589648)2(0.00740727549418807)(-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))
380-0-(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))
542(231334.921875)0-(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))
26(171.66970825195313)2(92.93008422851563)(exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))
25(171.66970825195313)2(92.93008422851563)(exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))
00-0-(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
00-0-(+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))
00-0-#s(literal 1 binary32)
00-0-(PI.f32)
00-0-#s(literal 4 binary32)
00-0-(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
00-0-(neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))
00-0-(/.f32 (PI.f32) #s(literal 4 binary32))
00-0-f
00-0-(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32)))
00-0-(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f32(-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))cancellation1932
log.f32(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))sensitivity470
/.f32(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))o/o380
(+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))overflow38
(exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))overflow38
(-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))overflow38
(exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))overflow38
exp.f32(exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))sensitivity63
exp.f32(exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))sensitivity53
Confusion
Predicted +Predicted -
+2300
-1016
Precision
0.9583333333333334
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+23000
-10214
Precision?
0.9504132231404959
Recall?
1.0
Freqs
test
numberfreq
016
1202
232
31
45
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
147.0ms352×1valid
19.0ms160×0valid
Compiler

Compiled 433 to 52 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-sub: 35.0ms (24.5% of total)
ival-exp: 26.0ms (18.2% of total)
ival-log: 18.0ms (12.6% of total)
ival-mult: 17.0ms (11.9% of total)
ival-div: 16.0ms (11.2% of total)
adjust: 13.0ms (9.1% of total)
ival-neg: 7.0ms (4.9% of total)
ival-pi: 4.0ms (2.8% of total)
ival-add: 4.0ms (2.8% of total)
ival-true: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)

preprocess192.0ms (2.1%)

Memory
21.0MiB live, 251.8MiB allocated; 67ms 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.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
Outputs
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
(*.f32 (/.f32 #s(literal -4 binary32) (PI.f32)) (log.f32 (*.f32 #s(literal 2 binary32) (/.f32 (cosh.f32 (*.f32 (/.f32 f #s(literal -4 binary32)) (PI.f32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))))))))
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
20.0%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series159.0ms (1.7%)

Memory
-13.2MiB live, 170.6MiB allocated; 30ms collecting garbage
Counts
16 → 43
Calls
Call 1
Inputs
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32)))
#s(literal 1 binary32)
(/.f32 (PI.f32) #s(literal 4 binary32))
(PI.f32)
#s(literal 4 binary32)
(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))
(+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))
(exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))
(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
f
(exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))
(neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))
(-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) 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 binary32 (* -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 binary32 (- (* -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 binary32 (- (* 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 binary32 (- (* 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 binary32 (* 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 binary32 (+ (* 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 binary32 (+ (* 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 binary32 (+ (* 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 binary32 (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))))
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#s(approx (* (/ (PI) 4) f) #s(hole binary32 (* 1/4 (* f (PI)))))
#s(approx f #s(hole binary32 f))
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#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(hole binary32 (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))
Calls

3 calls:

TimeVariablePointExpression
59.0ms
f
@0
((neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ 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)))))
49.0ms
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)))))
49.0ms
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)))))

rewrite285.0ms (3.1%)

Memory
27.4MiB live, 290.7MiB allocated; 125ms 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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(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32)))
#s(literal 1 binary32)
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(PI.f32)
#s(literal 4 binary32)
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(exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))
(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
f
(exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))
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Outputs
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#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))) (*.f32 (/.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal 4 binary32)))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32))))))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))))
#s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f))
#s(approx (exp (neg (* (/ (PI) 4) f))) (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (*.f32 (PI.f32) f)))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))

eval28.0ms (0.3%)

Memory
9.3MiB live, 54.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 9 841 to 1 166 computations (88.2% saved)

prune23.0ms (0.2%)

Memory
-16.9MiB live, 38.5MiB allocated; 8ms collecting garbage
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New19216208
Fresh000
Picked101
Done000
Total19316209
Accuracy
84.1%
Counts
209 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.1%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))))) (log.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))))))))
54.6%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (fma.f32 (pow.f32 (exp.f32 f) (/.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32))))) (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)))) (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32))))))))))
19.5%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 f #s(literal 3 binary32))) (pow.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 f f)) (+.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)) #s(literal 2 binary32)) (exp.f32 (fma.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 f)))))))))))
19.2%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (pow.f32 (exp.f32 f) (/.f32 (PI.f32) #s(literal 4 binary32))) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
24.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) f) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f #s(literal 1 binary32))))))))
11.5%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
79.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (-.f32 (fma.f32 (*.f32 f f) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (*.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f))))))
78.3%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))))))
19.1%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
80.2%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) f)) f)) f)))))
82.4%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))))))
78.0%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))))))
68.4%
(neg.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (/.f32 (cosh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))))))
75.0%
(log.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (/.f32 (cosh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))))) (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))))))
82.7%
#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)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
78.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))) (PI.f32)) #s(literal -4 binary32)))
Compiler

Compiled 1 516 to 838 computations (44.7% saved)

series186.0ms (2%)

Memory
-4.4MiB live, 220.7MiB allocated; 32ms collecting garbage
Counts
75 → 114
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
(*.f32 (/.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32))
(/.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32))
(log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32))))))
(/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))
(*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32))))
#s(literal 2 binary32)
(cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))
(*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32))
(*.f32 (PI.f32) f)
(PI.f32)
f
#s(literal -1/4 binary32)
(*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32))))
(sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))
(*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
#s(literal -4 binary32)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))) (PI.f32)) #s(literal -4 binary32)))
(*.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))) (PI.f32)) #s(literal -4 binary32))
(/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))) (PI.f32))
(log.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f)))
(/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))
(*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f)
(*.f32 (PI.f32) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) f)) f)) f)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) f)) f)) f))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32)))
#s(literal 1 binary32)
(/.f32 (PI.f32) #s(literal 4 binary32))
#s(literal 4 binary32)
(log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) f)) f)) f)))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) f)) f)) f))
(/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) f)) f)) f)
(fma.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) f)) f))
(/.f32 #s(literal 2 binary32) (PI.f32))
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(/.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
#s(literal 0 binary32)
(*.f32 (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) f)
(fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (PI.f32))
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#s(literal -2 binary32)
(/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32))
(pow.f32 (PI.f32) #s(literal 3 binary32))
#s(literal 3 binary32)
#s(literal 1/192 binary32)
(pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32))))))
(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32))))
(+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))
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(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
(log.f32 (/.f32 (+.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))
(/.f32 (+.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))
(+.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))
#s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f))
(pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)
(pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32))
(exp.f32 #s(literal 1/4 binary32))
(-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) 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 binary32 (* -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 binary32 (- (* -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 binary32 (- (* 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 binary32 (- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))))
#s(approx (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) #s(hole binary32 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))))
#s(approx (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) #s(hole binary32 (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* 4 (/ (* f (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))
#s(approx (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) #s(hole binary32 (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))))
#s(approx (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) #s(hole binary32 (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* 4 (/ (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* f (+ (* -2 (/ (+ (* -1 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* -2/3 (/ (* f (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 3 (* (- (* -1 (/ (+ (* 1/128 (pow (PI) 3)) (* 1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (* (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (+ (* 2 (/ (- (* 1/6144 (pow (PI) 4)) (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/6144 (pow (PI) 4)) (* 1/1536 (pow (PI) 4)))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (/ (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 3 (* (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -2 (/ (pow (- (* 1/32 (pow (PI) 2)) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (+ (* -1/4 (* (PI) (+ (* -1/32 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (+ (* -1/384 (pow (PI) 3)) (* 1/128 (pow (PI) 3))))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))))) (PI))))))))))
#s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) #s(hole binary32 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
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Calls

3 calls:

TimeVariablePointExpression
74.0ms
f
@inf
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58.0ms
f
@-inf
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32.0ms
f
@0
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rewrite208.0ms (2.2%)

Memory
59.4MiB live, 282.9MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073310364
08416969
146616795
082856553
Stop Event
iter limit
node limit
iter limit
Counts
189 → 457
Calls
Call 1
Inputs
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(*.f32 (/.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32))
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(*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32))))
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(*.f32 (*.f32 (PI.f32) f) #s(literal -1/4 binary32))
(*.f32 (PI.f32) f)
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f
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#s(literal 1/4 binary32)
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#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) #s(hole binary32 (* -1 (* f (- (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* 4 (/ 1 (* (pow f 2) (PI)))))))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)) #s(literal -4 binary32)))
(*.f32 (/.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)) #s(literal -4 binary32))
(*.f32 #s(literal -4 binary32) (/.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)))
(/.f32 (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32)) (PI.f32))
(/.f32 (log.f32 (pow.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))) #s(literal -4 binary32))) (PI.f32))
(/.f32 (neg.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))) (neg.f32 (PI.f32)))
(/.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32))
(log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))
(-.f32 (log.f32 (neg.f32 (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))) (log.f32 (neg.f32 (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))))
(-.f32 (log.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))) (log.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))
(-.f32 (log.f32 (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))) (log.f32 (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))))
(*.f32 #s(literal 2 binary32) (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))) (neg.f32 (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))))
(/.f32 (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)) (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))
(/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))
(+.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)) (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (neg.f32 (*.f32 f (PI.f32)))) (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))))
(+.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)) (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))) (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))))
(*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (+.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32)))) (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32)))) (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))) #s(literal 2 binary32)))))
(*.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (+.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32)))) (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32)))) (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))))
(*.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) f) (PI.f32) (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))) (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))) #s(literal 2 binary32)))))
(*.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) f) (PI.f32) (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))) (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))))
(*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal -2 binary32)) (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)) #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal -2 binary32)) (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal 2 binary32))) (-.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)))
(/.f32 (+.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal -3 binary32)) (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)) #s(literal -3 binary32))) (+.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal -2 binary32)) (-.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)) #s(literal -2 binary32)) (pow.f32 (pow.f32 (*.f32 (exp.f32 #s(literal 1/4 binary32)) (exp.f32 #s(literal -1/4 binary32))) (*.f32 f (PI.f32))) #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal -3 binary32)) (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal 3 binary32))) (+.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal -2 binary32)) (expm1.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (PI.f32)) f) #s(literal 2 binary32)))))
(fma.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) f) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) f) (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)))
(fma.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) (/.f32 f #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) (/.f32 f #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (neg.f32 (*.f32 f (PI.f32)))))
(fma.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) (/.f32 f #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) (/.f32 f #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f))
(fma.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) (/.f32 f #s(literal 2 binary32))) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) (/.f32 f #s(literal 2 binary32))) (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)))
(+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (neg.f32 (*.f32 f (PI.f32)))) (exp.f32 (neg.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32)))))))
(+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (neg.f32 (*.f32 f (PI.f32)))) (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)))
(+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)) (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (neg.f32 (*.f32 f (PI.f32)))))
(+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f))
(+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)))
(+.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))
#s(literal 2 binary32)
(/.f32 (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)) #s(literal 2 binary32))
(cosh.f32 (neg.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))))
(cosh.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32)))))
(cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))
(cosh.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal -1/4 binary32) f)))
(*.f32 (*.f32 #s(literal -1/4 binary32) f) (PI.f32))
(*.f32 #s(literal 1/4 binary32) (neg.f32 (*.f32 f (PI.f32))))
(*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32)))
(*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))
(*.f32 (PI.f32) (*.f32 f #s(literal -1/4 binary32)))
(neg.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) f))
(*.f32 f (PI.f32))
(*.f32 (PI.f32) f)
(PI.f32)
f
#s(literal -1/4 binary32)
(*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) f) (PI.f32) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))))
(*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal 2 binary32)) (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal -2 binary32))) (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal 3 binary32)) (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal -3 binary32))) (+.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal 2 binary32)) (+.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) #s(literal -2 binary32)) (pow.f32 (*.f32 (exp.f32 #s(literal 1/4 binary32)) (exp.f32 #s(literal -1/4 binary32))) (*.f32 f (PI.f32))))))
(-.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)))
(+.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))
(/.f32 (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)) #s(literal 2 binary32))
(sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 1/4 binary32) f)))
(*.f32 (*.f32 #s(literal 1/4 binary32) f) (PI.f32))
(*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))
(*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))
(*.f32 (PI.f32) (*.f32 f #s(literal 1/4 binary32)))
#s(literal 1/4 binary32)
#s(literal -4 binary32)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f)) (PI.f32)) #s(literal -4 binary32)))
(*.f32 (/.f32 (log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f)) (PI.f32)) #s(literal -4 binary32))
(*.f32 #s(literal -4 binary32) (/.f32 (log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f)) (PI.f32)))
(/.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f)) #s(literal -4 binary32)) (PI.f32))
(/.f32 (*.f32 #s(literal -4 binary32) (log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f))) (PI.f32))
(/.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f))) (neg.f32 (PI.f32)))
(/.f32 (log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f)) (PI.f32))
(+.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32)) (/.f32 (neg.f32 (log.f32 f)) (PI.f32)))
(log.f32 (*.f32 (/.f32 #s(literal 1 binary32) f) (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(log.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) f)))
(log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log.f32 f)) #s(literal 2 binary32))) (-.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 f))))
(/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (log.f32 f)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (neg.f32 (log.f32 f)) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 f))))))
(-.f32 (log.f32 (/.f32 #s(literal 2 binary32) f)) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (neg.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f))))
(-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f)))
(-.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (log.f32 f))
(fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(fma.f32 #s(literal -1 binary32) (log.f32 f) (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+.f32 (neg.f32 (log.f32 f)) (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 f)))
(/.f32 (/.f32 #s(literal 2 binary32) f) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f)
(/.f32 #s(literal -2 binary32) (neg.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f)))
(/.f32 #s(literal 2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f))
(*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f)
(*.f32 f (*.f32 #s(literal 1/2 binary32) (PI.f32)))
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#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (/.f32 #s(literal 4 binary32) (PI.f32)))
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f) (/.f32 #s(literal 4 binary32) (PI.f32))))
#s(approx (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f)))
#s(approx (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) f))
#s(approx (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) f))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) #s(literal 2 binary32))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f32 (*.f32 (PI.f32) #s(literal 0 binary32)) f #s(literal 2 binary32)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (PI.f32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) f) #s(literal 1/16 binary32) (*.f32 #s(literal 1/4 binary32) (PI.f32)))) f #s(literal 2 binary32)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (fma.f32 (fma.f32 (PI.f32) #s(literal 0 binary32) (*.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 0 binary32)) f (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32))) f)) f #s(literal 2 binary32)))
#s(approx (exp (* (/ (PI) 4) f)) #s(literal 1 binary32))
#s(approx (exp (* (/ (PI) 4) f)) (fma.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)) #s(literal 1 binary32)))
#s(approx (exp (* (/ (PI) 4) f)) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) f) #s(literal 1/32 binary32) (*.f32 #s(literal 1/4 binary32) (PI.f32))) f #s(literal 1 binary32)))
#s(approx (exp (* (/ (PI) 4) f)) (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) f) #s(literal 1/384 binary32) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) f (*.f32 #s(literal 1/4 binary32) (PI.f32))) f #s(literal 1 binary32)))
#s(approx (* (/ (PI) 4) f) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))
#s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32))
#s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32)) #s(literal 1 binary32)))
#s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) f) #s(literal 1/32 binary32) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f #s(literal 1 binary32)))
#s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) f) #s(literal -1/384 binary32) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) f (*.f32 #s(literal -1/4 binary32) (PI.f32))) f #s(literal 1 binary32)))
#s(approx (neg (* (/ (PI) 4) f)) (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (-.f32 (fma.f32 (*.f32 f f) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (*.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/61440 binary32)) (*.f32 f f) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32))) (*.f32 #s(literal -1/384 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 f f) (*.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal 1/41287680 binary32)) (*.f32 f f) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/122880 binary32))) (*.f32 #s(literal -1/122880 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 f f) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32))) (*.f32 #s(literal -1/384 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (*.f32 f f) (*.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f))
#s(approx (pow (pow (exp 1/4) (PI)) f) #s(literal 1 binary32))
#s(approx (pow (pow (exp 1/4) (PI)) f) (fma.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)) #s(literal 1 binary32)))
#s(approx (pow (pow (exp 1/4) (PI)) f) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) f) #s(literal 1/32 binary32) (*.f32 #s(literal 1/4 binary32) (PI.f32))) f #s(literal 1 binary32)))
#s(approx (pow (pow (exp 1/4) (PI)) f) (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) f) #s(literal 1/384 binary32) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) f (*.f32 #s(literal 1/4 binary32) (PI.f32))) f #s(literal 1 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (* (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (*.f32 (/.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (/ (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (/.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)))
#s(approx (log (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4))))) (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))))
#s(approx (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))
#s(approx (* 2 (cosh (* (* (PI) f) -1/4))) (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))
#s(approx (cosh (* (* (PI) f) -1/4)) (*.f32 (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))
#s(approx (sinh (* (* (PI) f) 1/4)) (*.f32 (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32))) (log.f32 f)) (PI.f32)) #s(literal -4 binary32)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32))) (log.f32 f)) (PI.f32)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (-.f32 (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32))) (log.f32 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))))))) (*.f32 (/.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)) #s(literal 4 binary32)))
#s(approx (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))) (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))))
#s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) f))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f))
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f)))
#s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) (*.f32 f f)))
#s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))
#s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f))
#s(approx (exp (neg (* (/ (PI) 4) f))) (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)))
#s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))
#s(approx (pow (pow (exp 1/4) (PI)) f) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f))
#s(approx (* (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) -4) (*.f32 (/.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) f) (/.f32 #s(literal -4 binary32) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) (/.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) f) (/.f32 #s(literal -4 binary32) (PI.f32)))) (PI.f32)))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) f) (/.f32 #s(literal -4 binary32) (PI.f32)))))
#s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (neg.f32 (*.f32 (-.f32 (neg.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32))) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f)))

eval173.0ms (1.9%)

Memory
-23.2MiB live, 286.2MiB allocated; 132ms collecting garbage
Compiler

Compiled 41 605 to 3 977 computations (90.4% saved)

prune54.0ms (0.6%)

Memory
4.7MiB live, 146.1MiB allocated; 5ms collecting garbage
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New61931650
Fresh7411
Picked505
Done000
Total63135666
Accuracy
84.7%
Counts
666 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.8%
(*.f32 (/.f32 #s(literal 4 binary32) (PI.f32)) (neg.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))) (-.f32 (pow.f32 (exp.f32 f) (/.f32 (PI.f32) #s(literal 4 binary32))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
54.6%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (fma.f32 (pow.f32 (exp.f32 f) (/.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32))))) (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)))) (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32))))))))))
14.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (/.f32 (-.f32 (pow.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)) #s(literal 2 binary32))) (-.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
10.8%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) f) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
11.4%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 f #s(literal 3 binary32))) (pow.f32 #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 f f)) (fma.f32 #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)) (*.f32 (pow.f32 (exp.f32 f) (/.f32 (PI.f32) #s(literal 4 binary32))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32))))))))))
79.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (-.f32 (fma.f32 (*.f32 f f) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (*.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f))))))
11.5%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) f) #s(literal 1/32 binary32) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f #s(literal 1 binary32)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
81.5%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
11.5%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
80.2%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) f)) f)) f)))))
82.4%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))))))
80.2%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f) (/.f32 #s(literal 4 binary32) (PI.f32)))) f)))))
45.0%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) (*.f32 f f))) f)))))
3.2%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f))) f)))))
78.0%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))))))
46.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f))))))
3.7%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) f))))))
46.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (neg.f32 (*.f32 (-.f32 (neg.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32))) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f)))))))
68.4%
(neg.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (/.f32 (cosh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))))))
66.3%
(neg.f32 (log.f32 (pow.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (/.f32 #s(literal 1/192 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32)))) #s(literal -2 binary32) (*.f32 #s(literal 1/8 binary32) (PI.f32))) f #s(literal 0 binary32)) f (/.f32 #s(literal 4 binary32) (PI.f32))) f)) (/.f32 #s(literal 4 binary32) (PI.f32)))))
75.0%
(log.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (/.f32 (cosh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))))) (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))))))
82.7%
#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)))))))) (/.f32 (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32)) (PI.f32)))
33.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (log.f32 (pow.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))) #s(literal -4 binary32))) (PI.f32)))
78.4%
#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)))))))) (*.f32 (/.f32 (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
77.9%
#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)))))))) (*.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log.f32 f)) #s(literal 2 binary32))) (-.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 f)))) (PI.f32)) #s(literal -4 binary32)))
77.6%
#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)))))))) (*.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (log.f32 f)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (neg.f32 (log.f32 f)) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 f)))))) (PI.f32)) #s(literal -4 binary32)))
78.1%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 2 binary32) f)) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
82.4%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))) (log.f32 (*.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32)))) (PI.f32)) #s(literal -4 binary32)))
82.6%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))) (log.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)) #s(literal -4 binary32)))
78.1%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f))) (PI.f32)) #s(literal -4 binary32)))
81.9%
#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)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (neg.f32 (*.f32 f (PI.f32)))) (exp.f32 (neg.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
80.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/128 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (fma.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/8 binary32))) #s(literal -2 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/6144 binary32)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32))) (PI.f32)) #s(literal -1/4 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/2048 binary32) (*.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))))))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32))))) f (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/8 binary32))) #s(literal -2 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) f (*.f32 #s(literal -2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))))) f (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) f))) (PI.f32)) #s(literal -4 binary32)))
78.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
78.2%
#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)))))))) (*.f32 (/.f32 #s(approx (log (/ 2 (* (* (PI) 1/2) f))) (-.f32 (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32))) (log.f32 f))) (PI.f32)) #s(literal -4 binary32)))
78.2%
#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)))))))) (*.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32)) (/.f32 (neg.f32 (log.f32 f)) (PI.f32))) #s(literal -4 binary32)))
Compiler

Compiled 4 910 to 2 532 computations (48.4% saved)

series430.0ms (4.6%)

Memory
8.7MiB live, 555.4MiB allocated; 99ms collecting garbage
Counts
54 → 138
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)))))))) (/.f32 (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32)) (PI.f32)))
(/.f32 (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32)) (PI.f32))
(*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32))
(log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))
(/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))
(cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))
(*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))
#s(literal 1/4 binary32)
(*.f32 f (PI.f32))
f
(PI.f32)
(sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))
#s(literal -4 binary32)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
(*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)) #s(literal -4 binary32))
(/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32))
(log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32)))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))
(/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32)))
#s(literal 4 binary32)
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#s(approx (exp (neg (neg (* -1/4 (* f (PI)))))) #s(hole binary32 1))
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#s(approx (* (* (PI) f) 1/4) #s(hole binary32 (* 1/4 (* f (PI)))))
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#s(approx (log (* (* 1/2 (PI)) f)) #s(hole binary32 (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f))))))
Calls

3 calls:

TimeVariablePointExpression
154.0ms
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 (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI)))))) -4) (PI)) (* (log (/ (cosh (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI)))))) -4) (log (/ (cosh (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI)))))) (/ (cosh (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI))))) (cosh (* 1/4 (* f (PI)))) (* 1/4 (* f (PI))) 1/4 (* f (PI)) f (PI) (sinh (* 1/4 (* 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 (* (* (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) (log (* (* 1/2 (PI)) f))) (PI)) -4) (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (- (log 2) (log (* (* 1/2 (PI)) f))) (log 2) 2 (log (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (PI)) -4) (/ (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (PI)) (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4)))) (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (pow (exp -1/4) (neg (* f (PI)))) (exp -1/4) -1/4 (neg (* f (PI))) (exp (neg (neg (* -1/4 (* f (PI)))))) (neg (neg (* -1/4 (* f (PI))))) (neg (* -1/4 (* f (PI)))) (* -1/4 (* f (PI))) (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (* (PI) f))
150.0ms
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 (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI)))))) -4) (PI)) (* (log (/ (cosh (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI)))))) -4) (log (/ (cosh (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI)))))) (/ (cosh (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI))))) (cosh (* 1/4 (* f (PI)))) (* 1/4 (* f (PI))) 1/4 (* f (PI)) f (PI) (sinh (* 1/4 (* 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 (* (* (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) (log (* (* 1/2 (PI)) f))) (PI)) -4) (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (- (log 2) (log (* (* 1/2 (PI)) f))) (log 2) 2 (log (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (PI)) -4) (/ (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (PI)) (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4)))) (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (pow (exp -1/4) (neg (* f (PI)))) (exp -1/4) -1/4 (neg (* f (PI))) (exp (neg (neg (* -1/4 (* f (PI)))))) (neg (neg (* -1/4 (* f (PI))))) (neg (* -1/4 (* f (PI)))) (* -1/4 (* f (PI))) (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (* (PI) f))
114.0ms
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 (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI)))))) -4) (PI)) (* (log (/ (cosh (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI)))))) -4) (log (/ (cosh (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI)))))) (/ (cosh (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI))))) (cosh (* 1/4 (* f (PI)))) (* 1/4 (* f (PI))) 1/4 (* f (PI)) f (PI) (sinh (* 1/4 (* 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 (* (* (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) (log (* (* 1/2 (PI)) f))) (PI)) -4) (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (- (log 2) (log (* (* 1/2 (PI)) f))) (log 2) 2 (log (* (* 1/2 (PI)) f)) (* (* 1/2 (PI)) f) (* 1/2 (PI)) 1/2 (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (PI)) -4) (/ (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (PI)) (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI))))) (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (* (/ (log (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (/ (log (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (log (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4)))) (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (pow (exp -1/4) (neg (* f (PI)))) (exp -1/4) -1/4 (neg (* f (PI))) (exp (neg (neg (* -1/4 (* f (PI)))))) (neg (neg (* -1/4 (* f (PI))))) (neg (* -1/4 (* f (PI)))) (* -1/4 (* f (PI))) (* 2 (sinh (* (* (PI) f) 1/4))) (sinh (* (* (PI) f) 1/4)) (* (* (PI) f) 1/4) (* (PI) f))

rewrite239.0ms (2.6%)

Memory
9.9MiB live, 334.4MiB allocated; 61ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092115911
0101110854
1597810787
0834610386
Stop Event
iter limit
node limit
iter limit
Counts
192 → 373
Calls
Call 1
Inputs
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#s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) #s(hole binary32 (- (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 (* 1/4 (* f (PI))))) #s(hole binary32 (log (* 1/2 (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
#s(approx (log (sinh (* 1/4 (* f (PI))))) #s(hole binary32 (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
#s(approx (* (/ (log (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) #s(hole binary32 (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))))
#s(approx (/ (log (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) #s(hole binary32 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI))))
#s(approx (log (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) #s(hole binary32 (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
#s(approx (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4)))) #s(hole binary32 (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) #s(hole binary32 (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))))
#s(approx (pow (exp -1/4) (neg (* f (PI)))) #s(hole binary32 (exp (* 1/4 (* f (PI))))))
#s(approx (exp (neg (neg (* -1/4 (* f (PI)))))) #s(hole binary32 (exp (* -1/4 (* f (PI))))))
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) #s(hole binary32 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
#s(approx (sinh (* (* (PI) f) 1/4)) #s(hole binary32 (* 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 binary32 (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))))
#s(approx (/ (log (/ 2 (* (* (PI) 1/2) f))) (PI)) #s(hole binary32 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI))))
#s(approx (log (/ 2 (* (* (PI) 1/2) f))) #s(hole binary32 (+ (log (/ -4 (PI))) (log (/ -1 f)))))
#s(approx (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) #s(hole binary32 (* -4 (/ (- (log 2) (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f))))) (PI)))))
#s(approx (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) #s(hole binary32 (/ (- (log 2) (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f))))) (PI))))
#s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) #s(hole binary32 (- (log 2) (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))))))
#s(approx (log (* (* 1/2 (PI)) f)) #s(hole binary32 (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f))))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (/.f32 #s(literal -4 binary32) (PI.f32))))
(*.f32 (/.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (PI.f32)) #s(literal -4 binary32))
(*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (/.f32 #s(literal -4 binary32) (PI.f32)))
(*.f32 #s(literal -4 binary32) (/.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (PI.f32)))
(/.f32 (neg.f32 (log.f32 (pow.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal -4 binary32)))) (neg.f32 (PI.f32)))
(/.f32 (log.f32 (pow.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal -4 binary32))) (PI.f32))
(log.f32 (pow.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal -4 binary32)))
(*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) #s(literal -4 binary32))
(*.f32 #s(literal -4 binary32) (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))))
(log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))))
(/.f32 (-.f32 (log.f32 (pow.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))))) (log.f32 (*.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 3 binary32))) (fma.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))))))))
(-.f32 (log.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))))) (log.f32 (neg.f32 (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))))
(-.f32 (log.f32 (neg.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))))
(-.f32 (log.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))) (log.f32 (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32))))
(-.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))) (neg.f32 (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32))))
(/.f32 (neg.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))
(/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))
(+.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)) (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32))) (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) f) (PI.f32)) (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32))))
(+.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) f) (PI.f32)) (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32))) (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)) (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32))))
(/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 2 binary32))
(cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))
(cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 1/4 binary32) f)))
(*.f32 (*.f32 #s(literal 1/4 binary32) f) (PI.f32))
(*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))
(*.f32 #s(literal -1/4 binary32) (*.f32 (neg.f32 f) (PI.f32)))
(*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))
(*.f32 (PI.f32) (*.f32 f #s(literal 1/4 binary32)))
(neg.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))
#s(literal 1/4 binary32)
(log.f32 (pow.f32 (exp.f32 (PI.f32)) f))
(*.f32 f (PI.f32))
(*.f32 (PI.f32) f)
f
(PI.f32)
(/.f32 (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)) #s(literal 2 binary32))
(neg.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))
(sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))
#s(literal -4 binary32)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
(*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)) #s(literal -4 binary32))
(*.f32 #s(literal -4 binary32) (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)))
(/.f32 (*.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) #s(literal -4 binary32)) (PI.f32))
(/.f32 (neg.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32)))))) (neg.f32 (PI.f32)))
(/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32))
(log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32)))))
#s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))
(/.f32 (/.f32 #s(literal 4 binary32) f) (PI.f32))
(/.f32 #s(literal -4 binary32) (*.f32 (neg.f32 f) (PI.f32)))
(/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32)))
#s(literal 4 binary32)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (log.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f) #s(literal -4 binary32))) (PI.f32)))
(*.f32 (/.f32 (log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f)) (PI.f32)) #s(literal -4 binary32))
(*.f32 #s(literal -4 binary32) (/.f32 (log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f)) (PI.f32)))
(/.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f)) #s(literal -4 binary32)) (PI.f32))
(/.f32 (log.f32 (pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f) #s(literal -4 binary32))) (PI.f32))
(/.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f))) (neg.f32 (PI.f32)))
(/.f32 (log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f)) (PI.f32))
(-.f32 (/.f32 (log.f32 #s(literal 2 binary32)) (PI.f32)) (/.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (PI.f32)))
(log.f32 (/.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) f))
(/.f32 (-.f32 (log.f32 (pow.f32 #s(literal 2 binary32) (log.f32 #s(literal 2 binary32)))) (log.f32 (pow.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32)) (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32)))))) (log.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (fma.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32)))))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (neg.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32)))))
(-.f32 (log.f32 (/.f32 #s(literal 2 binary32) f)) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))))
(-.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (log.f32 f))
(log.f32 #s(literal 2 binary32))
(-.f32 (log.f32 #s(literal 4 binary32)) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 0 binary32))
#s(literal 2 binary32)
(log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (log.f32 (pow.f32 f (log.f32 f))) (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) (log.f32 (/.f32 f (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(/.f32 (+.f32 (pow.f32 (log.f32 f) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 3 binary32))) (fma.f32 (log.f32 f) (log.f32 f) (-.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 (log.f32 f) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(fma.f32 #s(literal 1 binary32) (log.f32 (PI.f32)) (log.f32 (*.f32 #s(literal 1/2 binary32) f)))
(+.f32 (log.f32 (*.f32 f (PI.f32))) (log.f32 #s(literal 1/2 binary32)))
(+.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) f)) (log.f32 (PI.f32)))
(+.f32 (log.f32 (PI.f32)) (log.f32 (*.f32 #s(literal 1/2 binary32) f)))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (*.f32 f (PI.f32))))
(+.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (log.f32 f))
(+.f32 (log.f32 f) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 1/2 binary32) f)))
(*.f32 (*.f32 #s(literal 1/2 binary32) f) (PI.f32))
(*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))
(*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f)
(*.f32 #s(literal 1/2 binary32) (*.f32 f (PI.f32)))
(*.f32 f (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) f))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/4 binary32) (PI.f32)) (*.f32 #s(literal -1/4 binary32) (PI.f32)))) (*.f32 (PI.f32) #s(literal 0 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 1/64 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (*.f32 #s(literal -1/64 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 #s(literal 1/4 binary32) (PI.f32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) (PI.f32)) (*.f32 #s(literal -1/4 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 #s(literal -1/4 binary32) (PI.f32))))))
(-.f32 (*.f32 #s(literal 1/4 binary32) (PI.f32)) (*.f32 #s(literal -1/4 binary32) (PI.f32)))
(fma.f32 #s(literal 1/4 binary32) (PI.f32) (*.f32 #s(literal 1/4 binary32) (PI.f32)))
(fma.f32 (PI.f32) #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (PI.f32)))
(pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 1 binary32))
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#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (*.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/6144 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32))) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/2048 binary32) (*.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))))))) f (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) f (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) f (*.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f))
#s(approx (sinh (* 1/4 (* f (PI)))) (*.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
#s(approx (sinh (* 1/4 (* f (PI)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) f (*.f32 #s(literal 1/2 binary32) (PI.f32)))) f))
#s(approx (sinh (* 1/4 (* f (PI)))) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) f (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))))) f (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 1/2 binary32))) f))
#s(approx (sinh (* 1/4 (* f (PI)))) (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/6144 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32))) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/2048 binary32) (*.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))))))) f (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))))) f (*.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/2 binary32))) f (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 1/2 binary32))) f))
#s(approx (* 1/4 (* f (PI))) (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))
#s(approx (* (PI) f) (*.f32 f (PI.f32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (/.f32 #s(literal -4 binary32) (PI.f32))))
#s(approx (* (/ (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (PI)) -4) (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (/.f32 #s(literal -4 binary32) (PI.f32))))
#s(approx (* (log (/ (cosh (* 1/4 (* f (PI)))) (sinh (* 1/4 (* f (PI)))))) -4) (log.f32 (pow.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal -4 binary32))))
#s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))))
#s(approx (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))))
#s(approx (cosh (* 1/4 (* f (PI)))) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 1/2 binary32)))
#s(approx (sinh (* 1/4 (* f (PI)))) (*.f32 (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
#s(approx (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (*.f32 (/.f32 (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (/.f32 (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32)))) (PI.f32)))
#s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32)))))
#s(approx (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (*.f32 (/.f32 (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (/.f32 (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (PI.f32)))
#s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
#s(approx (log (* (* 1/2 (PI)) f)) (fma.f32 #s(literal 1 binary32) (log.f32 f) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
#s(approx (* (/ (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (PI)) -4) (*.f32 (/.f32 (log.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 1/2 binary32)) (*.f32 (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (/ (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (PI)) (/.f32 (log.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 1/2 binary32)) (*.f32 (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32)))) (PI.f32)))
#s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (log.f32 (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 1/2 binary32)) (*.f32 (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32)))))
#s(approx (log (cosh (* 1/4 (* f (PI))))) (log.f32 (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 1/2 binary32))))
#s(approx (log (sinh (* 1/4 (* f (PI))))) (log.f32 (*.f32 (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32))))
#s(approx (* (/ (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (PI)) -4) (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (/.f32 #s(literal -4 binary32) (PI.f32))))
#s(approx (/ (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (PI)) (/.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (PI.f32)))
#s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))))
#s(approx (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))))
#s(approx (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))))
#s(approx (pow (exp -1/4) (neg (* f (PI)))) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) f) (PI.f32)))
#s(approx (exp (neg (neg (* -1/4 (* f (PI)))))) (pow.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) f) (PI.f32)))
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
#s(approx (sinh (* 1/4 (* f (PI)))) (*.f32 (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
#s(approx (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (*.f32 (/.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) f) (/.f32 #s(literal -4 binary32) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (/.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) f) (/.f32 #s(literal -4 binary32) (PI.f32)))) (PI.f32)))
#s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) f) (/.f32 #s(literal -4 binary32) (PI.f32)))))
#s(approx (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (*.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) f)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) f)))) (PI.f32)))
#s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) (-.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) f)))))
#s(approx (log (* (* 1/2 (PI)) f)) (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) f) #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (PI.f32)))))

eval65.0ms (0.7%)

Memory
-19.2MiB live, 126.2MiB allocated; 21ms collecting garbage
Compiler

Compiled 32 151 to 2 415 computations (92.5% saved)

prune93.0ms (1%)

Memory
31.2MiB live, 184.8MiB allocated; 29ms collecting garbage
Pruning

45 alts after pruning (41 fresh and 4 done)

PrunedKeptTotal
New37619395
Fresh82230
Picked145
Done000
Total38545430
Accuracy
84.9%
Counts
430 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.8%
(*.f32 (/.f32 #s(literal 4 binary32) (PI.f32)) (neg.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))) (-.f32 (pow.f32 (exp.f32 f) (/.f32 (PI.f32) #s(literal 4 binary32))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
14.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (/.f32 (-.f32 (pow.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)) #s(literal 2 binary32))) (-.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
11.4%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 f #s(literal 3 binary32))) (pow.f32 #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 f f)) (fma.f32 #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)) (*.f32 (pow.f32 (exp.f32 f) (/.f32 (PI.f32) #s(literal 4 binary32))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32))))))))))
79.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (-.f32 (fma.f32 (*.f32 f f) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (*.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f))))))
11.5%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) f) #s(literal 1/32 binary32) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f #s(literal 1 binary32)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
11.5%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
80.2%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) f)) f)) f)))))
80.2%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f) (/.f32 #s(literal 4 binary32) (PI.f32)))) f)))))
45.0%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) (*.f32 f f))) f)))))
3.2%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f))) f)))))
78.0%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))))))
46.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f))))))
3.7%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) f))))))
46.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (neg.f32 (*.f32 (-.f32 (neg.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32))) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f)))))))
68.4%
(neg.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (/.f32 (cosh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))))))
66.3%
(neg.f32 (log.f32 (pow.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (/.f32 #s(literal 1/192 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32)))) #s(literal -2 binary32) (*.f32 #s(literal 1/8 binary32) (PI.f32))) f #s(literal 0 binary32)) f (/.f32 #s(literal 4 binary32) (PI.f32))) f)) (/.f32 #s(literal 4 binary32) (PI.f32)))))
75.0%
(log.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (/.f32 (cosh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))))) (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))))))
82.7%
#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)))))))) (/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 3 binary32))) (fma.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32)) (PI.f32)))
82.4%
#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)))))))) (/.f32 (*.f32 (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))) (log.f32 (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))) #s(literal -4 binary32)) (PI.f32)))
82.7%
#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)))))))) (/.f32 (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32)) (PI.f32)))
33.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (log.f32 (pow.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal -4 binary32))) (PI.f32)))
77.9%
#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)))))))) (*.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (fma.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))))))) (PI.f32)) #s(literal -4 binary32)))
77.6%
#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)))))))) (*.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (log.f32 f)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (neg.f32 (log.f32 f)) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 f)))))) (PI.f32)) #s(literal -4 binary32)))
78.1%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 2 binary32) f)) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
82.6%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))) (log.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)) #s(literal -4 binary32)))
77.6%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 (pow.f32 (log.f32 f) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 3 binary32))) (fma.f32 (log.f32 f) (log.f32 f) (-.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 (log.f32 f) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (PI.f32)) #s(literal -4 binary32)))
77.7%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 (*.f32 f (PI.f32))) (log.f32 #s(literal 1/2 binary32)))) (PI.f32)) #s(literal -4 binary32)))
78.1%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f))) (PI.f32)) #s(literal -4 binary32)))
79.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (-.f32 #s(approx (log (cosh (* 1/4 (* f (PI))))) (*.f32 (pow.f32 (*.f32 f (PI.f32)) #s(literal 2 binary32)) #s(literal 1/32 binary32))) (log.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)) #s(literal -4 binary32)))
81.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) (exp.f32 (neg.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
81.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 f (PI.f32))) (exp.f32 (neg.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
81.9%
#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)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (neg.f32 (*.f32 f (PI.f32)))) (exp.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
76.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (neg.f32 (*.f32 f (PI.f32)))) #s(approx (exp (neg (neg (* -1/4 (* f (PI)))))) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
79.5%
#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)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(approx (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (PI.f32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) f) #s(literal 1/16 binary32) (*.f32 #s(literal 1/4 binary32) (PI.f32)))) f #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
80.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 0 binary32))) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (fma.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/6144 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) (PI.f32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32))) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/2048 binary32) (*.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))))))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 4 binary32) (/.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 0 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))))) (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (fma.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (fma.f32 (*.f32 (/.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 0 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 4 binary32)))) (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) f (-.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (fma.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (fma.f32 (*.f32 (/.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 0 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))))) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 4 binary32)))))) f (*.f32 (fma.f32 (*.f32 (/.f32 (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 0 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))))) #s(literal 1/2 binary32))) f (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) f))) (PI.f32)) #s(literal -4 binary32)))
80.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/128 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (fma.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/8 binary32))) #s(literal -2 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/6144 binary32)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32))) (PI.f32)) #s(literal -1/4 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/2048 binary32) (*.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))))))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32))))) f (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/8 binary32))) #s(literal -2 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) f (*.f32 #s(literal -2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))))) f (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) f))) (PI.f32)) #s(literal -4 binary32)))
78.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 (/.f32 #s(literal 4 binary32) f) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
78.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
78.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 1/2 binary32)) f)))) (PI.f32)) #s(literal -4 binary32)))
78.4%
#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)))))))) (*.f32 (/.f32 #s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
78.2%
#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)))))))) (*.f32 (/.f32 #s(approx (log (/ 2 (* (* (PI) 1/2) f))) (-.f32 (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32))) (log.f32 f))) (PI.f32)) #s(literal -4 binary32)))
82.7%
#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)))))))) (*.f32 (-.f32 (/.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (PI.f32)) (/.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (PI.f32))) #s(literal -4 binary32)))
78.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (-.f32 (/.f32 (log.f32 #s(literal 2 binary32)) (PI.f32)) (/.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (PI.f32))) #s(literal -4 binary32)))
78.2%
#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)))))))) (*.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32)) (/.f32 (neg.f32 (log.f32 f)) (PI.f32))) #s(literal -4 binary32)))
82.4%
#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)))))))) (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (/.f32 #s(literal -4 binary32) (PI.f32))))
Compiler

Compiled 6 936 to 3 374 computations (51.4% saved)

series683.0ms (7.3%)

Memory
-14.1MiB live, 915.8MiB allocated; 133ms collecting garbage
Counts
66 → 186
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)))))))) (/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 3 binary32))) (fma.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32)) (PI.f32)))
(/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 3 binary32))) (fma.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32)) (PI.f32))
(*.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 3 binary32))) (fma.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32))
(/.f32 (-.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 3 binary32))) (fma.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))))))))
(-.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 3 binary32)))
(pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32))
(log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))
(cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))
(*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))
(*.f32 f (PI.f32))
f
(PI.f32)
#s(literal -1/4 binary32)
#s(literal 3 binary32)
(pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 3 binary32))
(log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))
(sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))
(*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))
#s(literal 1/4 binary32)
(fma.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))
(fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))))))
(log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))
(pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))))
#s(literal -4 binary32)
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 1/2 binary32)) f)))) (PI.f32)) #s(literal -4 binary32)))
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#s(literal 2 binary32)
(sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))
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Outputs
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Calls

3 calls:

TimeVariablePointExpression
285.0ms
f
@0
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196.0ms
f
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170.0ms
f
@-inf
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rewrite238.0ms (2.6%)

Memory
31.2MiB live, 345.9MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139141283
0150526634
0810425788
Stop Event
iter limit
node limit
iter limit
Counts
252 → 331
Calls
Call 1
Inputs
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f
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#s(approx (pow (exp 1/4) (* f (PI))) #s(hole binary32 (+ 1 (* f (+ (* 1/4 (PI)) (* f (+ (* 1/384 (* f (pow (PI) 3))) (* 1/32 (pow (PI) 2)))))))))
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#s(approx (neg (neg (* -1/4 (* f (PI))))) #s(hole binary32 (* -1/4 (* f (PI)))))
#s(approx (neg (* -1/4 (* f (PI)))) #s(hole binary32 (* 1/4 (* f (PI)))))
#s(approx (* -1/4 (* f (PI))) #s(hole binary32 (* -1/4 (* f (PI)))))
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) #s(hole binary32 (* f (- (* 1/4 (PI)) (* -1/4 (PI))))))
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#s(approx (* (* (PI) f) 1/4) #s(hole binary32 (* 1/4 (* f (PI)))))
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#s(approx (log (cosh (* (* f (PI)) -1/4))) #s(hole binary32 (log (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI))))))))))
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#s(approx (pow (log (sinh (* (* f (PI)) 1/4))) 3) #s(hole binary32 (pow (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 3)))
#s(approx (log (sinh (* (* f (PI)) 1/4))) #s(hole binary32 (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))
#s(approx (sinh (* (* f (PI)) 1/4)) #s(hole binary32 (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
#s(approx (+ (* (log (cosh (* (* f (PI)) -1/4))) (log (cosh (* (* f (PI)) -1/4)))) (+ (* (log (sinh (* (* f (PI)) 1/4))) (log (sinh (* (* f (PI)) 1/4)))) (log (pow (sinh (* (* f (PI)) 1/4)) (log (cosh (* (* f (PI)) -1/4))))))) #s(hole binary32 (+ (log (pow (* 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)))))))))) (+ (pow (log (* 1/2 (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))))) 2) (pow (log (* 1/2 (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) 2)))))
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#s(approx (log (pow (sinh (* (* f (PI)) 1/4)) (log (cosh (* (* f (PI)) -1/4))))) #s(hole binary32 (log (pow (* 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 (pow (sinh (* (* f (PI)) 1/4)) (log (cosh (* (* f (PI)) -1/4)))) #s(hole binary32 (pow (* 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)))))))))))
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#s(approx (/ (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (PI)) #s(hole binary32 (/ (- (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 (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) #s(hole binary32 (- (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)))))))))))
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#s(approx (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) #s(hole binary32 (/ (- (log 2) (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f))))) (PI))))
#s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) #s(hole binary32 (- (log 2) (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))))))
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#s(approx (log f) #s(hole binary32 (* -1 (log (/ 1 f)))))
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#s(approx (log (pow (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4))) -4)) #s(hole binary32 (log (/ (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 4) (pow (+ (exp (* -1/4 (* f (PI)))) (/ 1 (exp (* -1/4 (* f (PI)))))) 4)))))
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#s(approx (log f) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 f))))))
Outputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 2 binary32)) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32)) (PI.f32)))
(/.f32 (neg.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 2 binary32)) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32))) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 2 binary32)) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32)) (PI.f32))
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#s(approx (pow (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4))) -4) (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))) #s(literal 4 binary32)) (pow.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (*.f32 f (PI.f32))) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) f) (PI.f32))) #s(literal 4 binary32))))
#s(approx (/ (cosh (* (* f (PI)) -1/4)) (sinh (* (* f (PI)) 1/4))) (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (*.f32 f (PI.f32))) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) f) (PI.f32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))))
#s(approx (* (/ (log (/ (+ (pow (exp 1/4) (* f (PI))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) -4) (*.f32 #s(literal -4 binary32) (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (*.f32 f (PI.f32))) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) f) (PI.f32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))) (PI.f32))))
#s(approx (/ (log (/ (+ (pow (exp 1/4) (* f (PI))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (PI)) (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (*.f32 f (PI.f32))) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) f) (PI.f32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))) (PI.f32)))
#s(approx (log (/ (+ (pow (exp 1/4) (* f (PI))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4))))) (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (*.f32 f (PI.f32))) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) f) (PI.f32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))))
#s(approx (/ (+ (pow (exp 1/4) (* f (PI))) (exp (neg (neg (* -1/4 (* f (PI))))))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (*.f32 f (PI.f32))) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) f) (PI.f32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))))
#s(approx (+ (pow (exp 1/4) (* f (PI))) (exp (neg (neg (* -1/4 (* f (PI))))))) (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (*.f32 f (PI.f32))) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) f) (PI.f32))))
#s(approx (pow (exp 1/4) (* f (PI))) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) f) (PI.f32)))
#s(approx (exp (neg (neg (* -1/4 (* f (PI)))))) (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (*.f32 f (PI.f32))))
#s(approx (* 2 (sinh (* (* (PI) f) 1/4))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))
#s(approx (sinh (* (* (PI) f) 1/4)) (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))))
#s(approx (neg (log (* (* (* 1/2 (PI)) 1/2) f))) (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal -1/4 binary32) (PI.f32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) f))))))
#s(approx (log (* (* (* 1/2 (PI)) 1/2) f)) (+.f32 (log.f32 (*.f32 #s(literal -1/4 binary32) (PI.f32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) f)))))
#s(approx (* (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) -4) (*.f32 #s(literal -4 binary32) (/.f32 (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) f)))) (PI.f32))))
#s(approx (/ (- (log 2) (log (* (* 1/2 (PI)) f))) (PI)) (/.f32 (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) f)))) (PI.f32)))
#s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) (-.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) f)))))
#s(approx (+ (* (log f) -1) (log (/ 4 (PI)))) (+.f32 (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32))) (neg.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) f)))))))
#s(approx (log f) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) f)))))

eval254.0ms (2.7%)

Memory
-30.1MiB live, 229.7MiB allocated; 198ms collecting garbage
Compiler

Compiled 68 957 to 3 220 computations (95.3% saved)

prune130.0ms (1.4%)

Memory
17.0MiB live, 208.2MiB allocated; 25ms collecting garbage
Pruning

46 alts after pruning (40 fresh and 6 done)

PrunedKeptTotal
New5108518
Fresh43236
Picked325
Done044
Total51746563
Accuracy
98.9%
Counts
563 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.8%
(*.f32 (/.f32 #s(literal 4 binary32) (PI.f32)) (neg.f32 (log.f32 (/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))) (-.f32 (pow.f32 (exp.f32 f) (/.f32 (PI.f32) #s(literal 4 binary32))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
14.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (/.f32 (-.f32 (pow.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)) #s(literal 2 binary32))) (-.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
11.4%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 f #s(literal 3 binary32))) (pow.f32 #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 f f)) (fma.f32 #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)) (*.f32 (pow.f32 (exp.f32 f) (/.f32 (PI.f32) #s(literal 4 binary32))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32))))))))))
79.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) #s(approx (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (-.f32 (fma.f32 (*.f32 f f) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (*.f32 #s(literal 1/4 binary32) (PI.f32))) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f))))))
11.5%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f32 (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) f) #s(literal 1/32 binary32) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f #s(literal 1 binary32)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
11.5%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 #s(approx (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (*.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) #s(literal 2 binary32))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
80.2%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) f)) f)) f)))))
80.2%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f) (/.f32 #s(literal 4 binary32) (PI.f32)))) f)))))
45.0%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) (*.f32 f f))) f)))))
3.2%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f))) f)))))
78.0%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))))))
46.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f))))))
3.7%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) f))))))
46.9%
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (neg.f32 (*.f32 (-.f32 (neg.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32))) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f)))))))
68.4%
(neg.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (/.f32 (cosh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))))))
66.3%
(neg.f32 (log.f32 (pow.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (/.f32 #s(literal 1/192 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32)))) #s(literal -2 binary32) (*.f32 #s(literal 1/8 binary32) (PI.f32))) f #s(literal 0 binary32)) f (/.f32 #s(literal 4 binary32) (PI.f32))) f)) (/.f32 #s(literal 4 binary32) (PI.f32)))))
75.0%
(log.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (/.f32 (cosh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)))))) (neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))))))
82.4%
#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)))))))) (/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 2 binary32)) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32)) (PI.f32)))
82.5%
#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)))))))) (/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) #s(literal 3 binary32)) (*.f32 (pow.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal 2 binary32)) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))))) (fma.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32)) (PI.f32)))
92.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (*.f32 (/.f32 #s(approx (- (pow (log (cosh (* (* f (PI)) -1/4))) 3) (pow (log (sinh (* (* f (PI)) 1/4))) 3)) (neg.f32 (pow.f32 (log.f32 (*.f32 f (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 3 binary32)))) (fma.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32)) (PI.f32)))
82.4%
#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)))))))) (/.f32 (*.f32 (-.f32 (log.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))) (log.f32 (*.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) #s(literal 2 binary32)))) #s(literal -4 binary32)) (PI.f32)))
82.7%
#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)))))))) (/.f32 (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32)) (PI.f32)))
33.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (log.f32 (pow.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) #s(literal -4 binary32))) (PI.f32)))
77.9%
#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)))))))) (*.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (fma.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))))))) (PI.f32)) #s(literal -4 binary32)))
77.6%
#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)))))))) (*.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (log.f32 f)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (neg.f32 (log.f32 f)) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 f)))))) (PI.f32)) #s(literal -4 binary32)))
78.1%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 2 binary32) f)) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
82.6%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))) (log.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)) #s(literal -4 binary32)))
77.6%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 (pow.f32 (log.f32 f) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 3 binary32))) (fma.f32 (log.f32 f) (log.f32 f) (-.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 (log.f32 f) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (PI.f32)) #s(literal -4 binary32)))
77.7%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 (*.f32 f (PI.f32))) (log.f32 #s(literal 1/2 binary32)))) (PI.f32)) #s(literal -4 binary32)))
78.1%
#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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f))) (PI.f32)) #s(literal -4 binary32)))
81.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) (exp.f32 (neg.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
81.8%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 f (PI.f32))) (exp.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) f) (PI.f32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
77.5%
#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)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 f (PI.f32))) #s(approx (exp (neg (neg (* -1/4 (* f (PI)))))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
81.9%
#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)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (neg.f32 (*.f32 f (PI.f32)))) (exp.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
76.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (neg.f32 (*.f32 f (PI.f32)))) #s(approx (exp (neg (neg (* -1/4 (* f (PI)))))) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
79.5%
#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)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(approx (+ (pow (exp 1/4) (* f (PI))) (exp (neg (neg (* -1/4 (* f (PI))))))) (+.f32 #s(literal 2 binary32) (*.f32 f (fma.f32 #s(literal -1/4 binary32) (PI.f32) (fma.f32 #s(literal 1/16 binary32) (*.f32 f (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/4 binary32) (PI.f32))))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
79.5%
#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)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(approx (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (PI.f32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) f) #s(literal 1/16 binary32) (*.f32 #s(literal 1/4 binary32) (PI.f32)))) f #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
78.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 (/.f32 #s(literal 4 binary32) f) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
78.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
78.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 #s(approx (* (* (* 1/2 (PI)) 1/2) f) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))) (PI.f32)) #s(literal -4 binary32)))
78.2%
#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)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 #s(approx (log (* (* (* 1/2 (PI)) 1/2) f)) (+.f32 (log.f32 (*.f32 #s(literal 1/4 binary32) (PI.f32))) (neg.f32 (neg.f32 (log.f32 f))))))) (PI.f32)) #s(literal -4 binary32)))
78.4%
#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)))))))) (*.f32 (/.f32 #s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
82.7%
#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)))))))) (*.f32 (-.f32 (/.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (PI.f32)) (/.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (PI.f32))) #s(literal -4 binary32)))
78.3%
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (-.f32 (/.f32 (log.f32 #s(literal 2 binary32)) (PI.f32)) (/.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (PI.f32))) #s(literal -4 binary32)))
78.2%
#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)))))))) (*.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32)) (/.f32 (neg.f32 (log.f32 f)) (PI.f32))) #s(literal -4 binary32)))
82.4%
#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)))))))) (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (/.f32 #s(literal -4 binary32) (PI.f32))))
Compiler

Compiled 8 591 to 2 497 computations (70.9% saved)

regimes134.0ms (1.4%)

Memory
14.4MiB live, 251.7MiB allocated; 21ms collecting garbage
Counts
75 → 2
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 #s(approx (* (* (* 1/2 (PI)) 1/2) f) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 1/2 binary32)) f)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 (/.f32 #s(literal 4 binary32) f) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f))) f)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (neg.f32 (*.f32 (-.f32 (neg.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32))) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f)))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f) (/.f32 #s(literal 4 binary32) (PI.f32)))) f)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) (*.f32 f f))) 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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f))) (PI.f32)) #s(literal -4 binary32)))
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#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ (* 2 (cosh (* (* (PI) f) -1/4))) (* 2 (sinh (* (* (PI) f) 1/4)))) (/.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal 1/4 binary32) (*.f32 #s(literal 1/128 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (fma.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) (/.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/8 binary32)))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/8 binary32))) #s(literal -2 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (*.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/6144 binary32)) (fma.f32 (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32))) (PI.f32)) #s(literal -1/4 binary32) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/2048 binary32) (*.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))))))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32))))) f (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/16 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/8 binary32))) #s(literal -2 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/384 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #s(literal -1/4 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) f (*.f32 #s(literal -2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/32 binary32) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 2 binary32))))) f (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) f))) (PI.f32)) #s(literal -4 binary32)))
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)))))))) (/.f32 (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32)) (PI.f32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (*.f32 (/.f32 #s(approx (- (pow (log (cosh (* (* f (PI)) -1/4))) 3) (pow (log (sinh (* (* f (PI)) 1/4))) 3)) (neg.f32 (pow.f32 (log.f32 (*.f32 f (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 3 binary32)))) (fma.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32)) (PI.f32)))
Calls

6 calls:

31.0ms
f
28.0ms
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
19.0ms
(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
19.0ms
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))
17.0ms
(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))
Results
AccuracySegmentsBranch
97.5%2(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
97.5%2(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))
97.5%2(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))
97.5%2(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
97.5%2(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
97.5%2f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes95.0ms (1%)

Memory
-0.3MiB live, 235.6MiB allocated; 13ms collecting garbage
Counts
68 → 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)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 #s(approx (* (* (* 1/2 (PI)) 1/2) f) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 1/2 binary32)) f)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 (/.f32 #s(literal 4 binary32) f) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))))))
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(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) f) (*.f32 #s(literal -1/4 binary32) (PI.f32))) f #s(literal 1 binary32))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 f (PI.f32))) (exp.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) f) (PI.f32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (neg.f32 (*.f32 f (PI.f32)))) (exp.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (*.f32 f (PI.f32))) (exp.f32 (neg.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -1/4 binary32)) (neg.f32 (*.f32 f (PI.f32)))) (exp.f32 (neg.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) f) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) 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)))))))) (*.f32 (/.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f) (exp.f32 (neg.f32 (neg.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 f (PI.f32))))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (log.f32 f)) #s(literal 2 binary32))) (-.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 f)))) (PI.f32)) #s(literal -4 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (pow.f32 (exp.f32 f) (/.f32 (PI.f32) #s(literal 4 binary32))) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 #s(approx (exp (* (/ (PI) 4) f)) (pow.f32 (pow.f32 (exp.f32 #s(literal 1/4 binary32)) (PI.f32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (*.f32 (fma.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 0 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (PI.f32)) #s(literal 1/8 binary32) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/192 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) f)) f)) f)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (fma.f32 (pow.f32 (exp.f32 f) (/.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32))))) (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)))) (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 f (/.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (fma.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (*.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (/.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (log.f32 f)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (neg.f32 (log.f32 f)) #s(literal 2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (neg.f32 (log.f32 f)))))) (PI.f32)) #s(literal -4 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 f #s(literal 3 binary32))) (pow.f32 #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 f f)) (fma.f32 #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32)) (*.f32 (pow.f32 (exp.f32 f) (/.f32 (PI.f32) #s(literal 4 binary32))) #s(approx (exp (neg (* (/ (PI) 4) f))) #s(literal 1 binary32))))))))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 (pow.f32 (log.f32 f) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 3 binary32))) (fma.f32 (log.f32 f) (log.f32 f) (-.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 (log.f32 f) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (PI.f32)) #s(literal -4 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 f #s(literal 3 binary32))) (pow.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 f f)) (+.f32 (pow.f32 (pow.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 4 binary32))) (neg.f32 f)) #s(literal 2 binary32)) (exp.f32 (fma.f32 f (/.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) (neg.f32 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)))))))) (/.f32 (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32)) (PI.f32)))
Calls

6 calls:

18.0ms
f
16.0ms
(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
15.0ms
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
14.0ms
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
14.0ms
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))
Results
AccuracySegmentsBranch
82.7%1(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
82.7%1(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))
82.7%1(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))
82.7%1(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
82.7%1(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
82.7%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes67.0ms (0.7%)

Memory
24.2MiB live, 71.3MiB allocated; 2ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 #s(approx (* (* (* 1/2 (PI)) 1/2) f) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 1/2 binary32)) f)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 (/.f32 #s(literal 4 binary32) f) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f))) f)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (neg.f32 (*.f32 (-.f32 (neg.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32))) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f)))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f) (/.f32 #s(literal 4 binary32) (PI.f32)))) f)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) (*.f32 f f))) 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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (log (/ 2 (* (* (PI) 1/2) f))) (-.f32 (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32))) (log.f32 f))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 #s(approx (log (* (* (* 1/2 (PI)) 1/2) f)) (+.f32 (log.f32 (*.f32 #s(literal 1/4 binary32) (PI.f32))) (neg.f32 (neg.f32 (log.f32 f))))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 2 binary32) f)) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (-.f32 (/.f32 (log.f32 #s(literal 2 binary32)) (PI.f32)) (/.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (PI.f32))) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32)) (/.f32 (neg.f32 (log.f32 f)) (PI.f32))) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(approx (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (PI.f32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) f) #s(literal 1/16 binary32) (*.f32 #s(literal 1/4 binary32) (PI.f32)))) f #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(approx (+ (pow (exp 1/4) (* f (PI))) (exp (neg (neg (* -1/4 (* f (PI))))))) (+.f32 #s(literal 2 binary32) (*.f32 f (fma.f32 #s(literal -1/4 binary32) (PI.f32) (fma.f32 #s(literal 1/16 binary32) (*.f32 f (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/4 binary32) (PI.f32))))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 (*.f32 f (PI.f32))) (log.f32 #s(literal 1/2 binary32)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (-.f32 #s(approx (log (cosh (* 1/4 (* f (PI))))) (*.f32 (pow.f32 (*.f32 f (PI.f32)) #s(literal 2 binary32)) #s(literal 1/32 binary32))) (log.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (/.f32 #s(literal -4 binary32) (PI.f32))))
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)))))))) (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (/.f32 #s(literal -4 binary32) (PI.f32))))
Calls

6 calls:

36.0ms
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
7.0ms
(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
6.0ms
f
6.0ms
(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))
5.0ms
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
Results
AccuracySegmentsBranch
82.4%1(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
82.4%1(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))
82.4%1(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))
82.4%1(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
82.4%1(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
82.4%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes62.0ms (0.7%)

Memory
-15.5MiB live, 84.1MiB allocated; 17ms collecting garbage
Counts
25 → 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)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 #s(approx (* (* (* 1/2 (PI)) 1/2) f) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 1/2 binary32)) f)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 (/.f32 #s(literal 4 binary32) f) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f))) f)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (neg.f32 (*.f32 (-.f32 (neg.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32))) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f)))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f) (/.f32 #s(literal 4 binary32) (PI.f32)))) f)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) (*.f32 f f))) 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)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) f))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (log (/ 2 (* (* (PI) 1/2) f))) (-.f32 (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32))) (log.f32 f))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 #s(approx (log (* (* (* 1/2 (PI)) 1/2) f)) (+.f32 (log.f32 (*.f32 #s(literal 1/4 binary32) (PI.f32))) (neg.f32 (neg.f32 (log.f32 f))))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log 2) (log (* (* 1/2 (PI)) f))) (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 4 binary32) (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (-.f32 (log.f32 (/.f32 #s(literal 2 binary32) f)) (log.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (fma.f32 (log.f32 f) #s(literal -1 binary32) (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (-.f32 (/.f32 (log.f32 #s(literal 2 binary32)) (PI.f32)) (/.f32 (log.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/2 binary32))) (PI.f32))) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (PI.f32)) (/.f32 (neg.f32 (log.f32 f)) (PI.f32))) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(approx (+ (pow (exp -1/4) (neg (* f (PI)))) (exp (neg (neg (* -1/4 (* f (PI))))))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) (PI.f32) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) f) #s(literal 1/16 binary32) (*.f32 #s(literal 1/4 binary32) (PI.f32)))) f #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(approx (+ (pow (exp 1/4) (* f (PI))) (exp (neg (neg (* -1/4 (* f (PI))))))) (+.f32 #s(literal 2 binary32) (*.f32 f (fma.f32 #s(literal -1/4 binary32) (PI.f32) (fma.f32 #s(literal 1/16 binary32) (*.f32 f (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/4 binary32) (PI.f32))))))) (*.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 (*.f32 (PI.f32) f) #s(literal 1/4 binary32)))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 (*.f32 f (PI.f32))) (log.f32 #s(literal 1/2 binary32)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (-.f32 #s(approx (log (cosh (* 1/4 (* f (PI))))) (*.f32 (pow.f32 (*.f32 f (PI.f32)) #s(literal 2 binary32)) #s(literal 1/32 binary32))) (log.f32 (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) (PI.f32)) #s(literal -4 binary32)))
Outputs
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f) (/.f32 #s(literal 4 binary32) (PI.f32)))) f)))))
Calls

6 calls:

9.0ms
(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))
6.0ms
f
6.0ms
(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
5.0ms
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))
5.0ms
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
Results
AccuracySegmentsBranch
80.2%1(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
80.2%1(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))
80.2%1(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))
80.2%1(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
80.2%1(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
80.2%1f
Compiler

Compiled 138 to 60 computations (56.5% saved)

regimes29.0ms (0.3%)

Memory
1.4MiB live, 47.8MiB allocated; 3ms collecting garbage
Accuracy

Total -24.1b remaining (-346.7%)

Threshold costs -24.1b (-346.7%)

Counts
11 → 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)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 #s(approx (* (* (* 1/2 (PI)) 1/2) f) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 1/2 binary32)) f)))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))) (PI.f32)) #s(literal -4 binary32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (/.f32 (log.f32 #s(approx (/ 2 (* (* (PI) 1/2) f)) (/.f32 (/.f32 #s(literal 4 binary32) f) (PI.f32)))) (PI.f32)) #s(literal -4 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (/.f32 #s(literal 4 binary32) (*.f32 f (PI.f32))))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (*.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f))) f)))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (*.f32 (fma.f32 (PI.f32) #s(literal 1/12 binary32) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) f))))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) #s(approx (/ (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) f) (neg.f32 (*.f32 (-.f32 (neg.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32))) (/.f32 #s(literal 4 binary32) (*.f32 (*.f32 f f) (PI.f32)))) 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)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 #s(approx (* (* (* 1/2 (PI)) 1/2) f) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))) (PI.f32)) #s(literal -4 binary32)))
Calls

6 calls:

13.0ms
(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))
3.0ms
(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
3.0ms
f
3.0ms
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
3.0ms
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))
Results
AccuracySegmentsBranch
78.3%1(*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)
78.3%1f
78.3%1(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))))
78.3%1(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))
78.3%1(log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f))))))
78.3%1(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 (/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))) (-.f32 (exp.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)) (exp.f32 (neg.f32 (*.f32 (/.f32 (PI.f32) #s(literal 4 binary32)) f)))))))
Compiler

Compiled 138 to 60 computations (56.5% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
7.834855556488037
14.668633460998535
Compiler

Compiled 40 to 20 computations (50% saved)

simplify103.0ms (1.1%)

Memory
-34.1MiB live, 110.0MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0122448
1249434
2656430
33018429
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f32 f #s(literal 10 binary32)) #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32)) (PI.f32))) #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (*.f32 (/.f32 #s(approx (- (pow (log (cosh (* (* f (PI)) -1/4))) 3) (pow (log (sinh (* (* f (PI)) 1/4))) 3)) (neg.f32 (pow.f32 (log.f32 (*.f32 f (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 3 binary32)))) (fma.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32)) (PI.f32))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32)) (PI.f32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (/.f32 #s(literal -4 binary32) (PI.f32))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f) (/.f32 #s(literal 4 binary32) (PI.f32)))) 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)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 #s(approx (* (* (* 1/2 (PI)) 1/2) f) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))) (PI.f32)) #s(literal -4 binary32)))
Outputs
(if (<=.f32 f #s(literal 10 binary32)) #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32)) (PI.f32))) #s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (*.f32 (/.f32 #s(approx (- (pow (log (cosh (* (* f (PI)) -1/4))) 3) (pow (log (sinh (* (* f (PI)) 1/4))) 3)) (neg.f32 (pow.f32 (log.f32 (*.f32 f (*.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 3 binary32)))) (fma.f32 (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32)))) (fma.f32 (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32)))) (log.f32 (pow.f32 (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))) (log.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))))))))) #s(literal -4 binary32)) (PI.f32))))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (/.f32 (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))) (sinh.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32)))))) #s(literal -4 binary32)) (PI.f32)))
#s(approx (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))) (*.f32 (log.f32 (/.f32 (cosh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal -1/4 binary32))) (sinh.f32 (*.f32 (*.f32 f (PI.f32)) #s(literal 1/4 binary32))))) (/.f32 #s(literal -4 binary32) (PI.f32))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f) (/.f32 #s(literal 4 binary32) (PI.f32)))) f)))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (PI.f32) #s(literal 4 binary32))) (log.f32 #s(approx (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))) (/.f32 #s(approx (+ (* (/ 2 (PI)) 2) (* (+ (* (/ (PI) (* (PI) 1/2)) 0) (* (+ (* (/ (* (PI) (PI)) (PI)) 1/8) (* -2 (/ (* (pow (PI) 3) 1/192) (pow (* (PI) 1/2) 2)))) f)) f)) (fma.f32 (*.f32 (PI.f32) #s(literal 1/12 binary32)) (*.f32 f f) (/.f32 #s(literal 4 binary32) (PI.f32)))) 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)))))))) (*.f32 (/.f32 #s(approx (- (log (cosh (* 1/4 (* f (PI))))) (log (sinh (* 1/4 (* f (PI)))))) (neg.f32 (log.f32 #s(approx (* (* (* 1/2 (PI)) 1/2) f) (*.f32 #s(literal 1/4 binary32) (*.f32 f (PI.f32))))))) (PI.f32)) #s(literal -4 binary32)))

derivations299.0ms (3.2%)

Memory
9.9MiB live, 432.8MiB allocated; 30ms collecting garbage
Stop Event
fuel
Compiler

Compiled 453 to 127 computations (72% saved)

preprocess88.0ms (0.9%)

Memory
47.8MiB live, 89.2MiB allocated; 9ms collecting garbage
Compiler

Compiled 980 to 286 computations (70.8% saved)

end0.0ms (0%)

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

Profiling

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