math.log/2 on complex, imaginary part

Time bar (total: 3.7s)

start0.0ms (0%)

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

analyze178.0ms (4.8%)

Memory
-22.5MiB live, 397.7MiB allocated; 45ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%49.9%0.1%0%49.9%0%4
0%0%49.9%0.1%0%49.9%0%5
0%0%49.9%0.1%0%49.9%0%6
9.4%4.7%45.2%0.1%0%49.9%0%7
17.2%8.6%41.3%0.1%0%49.9%0%8
27.3%13.7%36.3%0.1%0%49.9%0%9
41%20.5%29.4%0.1%0%49.9%0%10
48.6%24.3%25.6%0.1%0%49.9%0%11
57.1%28.5%21.4%0.1%0%49.9%0%12
Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.7s (46.4%)

Memory
1.0MiB live, 1 494.9MiB allocated; 1.0s collecting garbage
Samples
1.4s8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult!: 473.0ms (43.1% of total)
ival-log: 257.0ms (23.4% of total)
ival-hypot: 189.0ms (17.2% of total)
ival-atan2: 105.0ms (9.6% of total)
ival-div!: 35.0ms (3.2% of total)
ival-sub!: 21.0ms (1.9% of total)
ival-add!: 17.0ms (1.5% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

preprocess50.0ms (1.3%)

Memory
29.3MiB live, 29.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079139
1360117
2175567
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Symmetry

(abs base)

Compiler

Compiled 44 to 36 computations (18.2% saved)

series189.0ms (5.1%)

Memory
9.6MiB live, 141.1MiB allocated; 30ms collecting garbage
Counts
18 → 64
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
#s(literal 0 binary64)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow im 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* 1/2 (/ (pow re 2) (pow (sqrt (pow im 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow (sqrt (pow im 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow im 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow im 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* 1/2 (/ (pow re 2) (sqrt (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow (sqrt (pow im 2)) 3))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow (sqrt (pow im 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow im 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx im #s(hole binary64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow re 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* 1/2 (/ (pow im 2) (pow (sqrt (pow re 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow (sqrt (pow re 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow re 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow re 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* 1/2 (/ (pow im 2) (sqrt (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow (sqrt (pow re 2)) 3))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow (sqrt (pow re 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow re 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
Calls

9 calls:

TimeVariablePointExpression
82.0ms
im
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
37.0ms
re
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
22.0ms
base
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
8.0ms
re
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
8.0ms
im
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))

rewrite227.0ms (6.1%)

Memory
-13.9MiB live, 176.5MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03051877
03261630
119191544
091781236
1273541236
Stop Event
saturated
node-limit
iter-limit
Counts
82 → 272
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
#s(literal 0 binary64)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow im 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* 1/2 (/ (pow re 2) (pow (sqrt (pow im 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow (sqrt (pow im 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow im 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow im 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* 1/2 (/ (pow re 2) (sqrt (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow (sqrt (pow im 2)) 3))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow (sqrt (pow im 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow im 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx im #s(hole binary64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow re 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* 1/2 (/ (pow im 2) (pow (sqrt (pow re 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow (sqrt (pow re 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow re 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow re 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* 1/2 (/ (pow im 2) (sqrt (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow (sqrt (pow re 2)) 3))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow (sqrt (pow re 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow re 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
Outputs
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (neg.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(-.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(+.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(+.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
(fma.f64 (log.f64 base) (atan2.f64 im re) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (log.f64 base) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (fabs.f64 (pow.f64 base (atan2.f64 im re))))
(log.f64 (pow.f64 (fabs.f64 base) (atan2.f64 im re)))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(atan2.f64 im re)
im
re
(log.f64 (fabs.f64 (fabs.f64 base)))
(log.f64 (fabs.f64 base))
(log.f64 base)
base
#s(literal 0 binary64)
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(fabs.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) re)
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) im)
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) im)
(hypot.f64 (neg.f64 re) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 re) (neg.f64 im))
(hypot.f64 (neg.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 re) (fabs.f64 im))
(hypot.f64 (neg.f64 re) im)
(hypot.f64 (neg.f64 im) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) re)
(hypot.f64 (fabs.f64 re) (neg.f64 (neg.f64 im)))
(hypot.f64 (fabs.f64 re) (neg.f64 im))
(hypot.f64 (fabs.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 re) (fabs.f64 im))
(hypot.f64 (fabs.f64 re) im)
(hypot.f64 (fabs.f64 im) (neg.f64 (neg.f64 re)))
(hypot.f64 (fabs.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 im) (neg.f64 re))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) re)
(hypot.f64 re (neg.f64 (neg.f64 im)))
(hypot.f64 re (neg.f64 im))
(hypot.f64 re (neg.f64 (fabs.f64 im)))
(hypot.f64 re (fabs.f64 im))
(hypot.f64 re im)
(hypot.f64 im (neg.f64 (neg.f64 re)))
(hypot.f64 im (neg.f64 (fabs.f64 re)))
(hypot.f64 im (neg.f64 re))
(hypot.f64 im (fabs.f64 re))
(hypot.f64 im re)
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) (*.f64 re re))
(fma.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)) (*.f64 im im))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 im im))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 re re))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 im im))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 re re))
(fma.f64 re re (*.f64 im im))
(fma.f64 im im (*.f64 re re))
(-.f64 (*.f64 re re) (*.f64 (neg.f64 im) im))
(-.f64 (*.f64 re re) (neg.f64 (*.f64 im im)))
(-.f64 (*.f64 im im) (neg.f64 (*.f64 re re)))
(+.f64 (*.f64 re re) (*.f64 im im))
(+.f64 (*.f64 im im) (*.f64 re re))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 re re)
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 re))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 re re) (*.f64 re re)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 re re) (*.f64 re re)))
(fabs.f64 (neg.f64 (*.f64 re re)))
(fabs.f64 (*.f64 re re))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 (neg.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 im))) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 im im) (*.f64 im im)) #s(literal 1/2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 im im) (*.f64 im im)))
(fabs.f64 (neg.f64 (*.f64 im im)))
(fabs.f64 (*.f64 im im))
#s(literal 0 binary64)
(*.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))))
(*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (fabs.f64 (fabs.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fabs.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(fabs.f64 (*.f64 (log.f64 base) (log.f64 base)))
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 (fabs.f64 (pow.f64 base (log.f64 base))))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 base)) (neg.f64 (log.f64 base))))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) base) (neg.f64 (log.f64 base))))
(log.f64 (pow.f64 (fabs.f64 base) (log.f64 base)))
(log.f64 (pow.f64 base (log.f64 base)))
(*.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))))
(*.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (fabs.f64 (fabs.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(fma.f64 (fabs.f64 (fabs.f64 (log.f64 base))) (fabs.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 (log.f64 base))) (neg.f64 (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fabs.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(fabs.f64 (*.f64 (log.f64 base) (log.f64 base)))
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 (fabs.f64 (pow.f64 base (log.f64 base))))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 base)) (neg.f64 (log.f64 base))))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) base) (neg.f64 (log.f64 base))))
(log.f64 (pow.f64 (fabs.f64 base) (log.f64 base)))
(log.f64 (pow.f64 base (log.f64 base)))
#s(literal 0 binary64)
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 re re) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 re re) (fabs.f64 im)) #s(literal 1/2 binary64) (fabs.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (*.f64 re re) (fma.f64 (/.f64 (*.f64 re re) (*.f64 (fabs.f64 im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 im))) (fabs.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) (pow.f64 (fabs.f64 im) #s(literal -5 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 im) (*.f64 im im)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (fabs.f64 im))) (*.f64 re re) (fabs.f64 im)))
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
#s(approx (+ (* re re) (* im im)) (fma.f64 re re (*.f64 im im)))
#s(approx (* re re) (*.f64 re re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) (log.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) #s(literal 1 binary64)) re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) #s(literal 1 binary64)) re))
#s(approx (+ (* re re) (* im im)) (*.f64 (fma.f64 (/.f64 im re) (/.f64 im re) #s(literal 1 binary64)) (*.f64 re re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) (log.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) #s(literal 1 binary64))))
#s(approx im im)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (log.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 im im) (fabs.f64 re)) #s(literal 1/2 binary64) (fabs.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (*.f64 im im) (fma.f64 (/.f64 (*.f64 im im) (*.f64 (fabs.f64 re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 re))) (fabs.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) (pow.f64 (fabs.f64 re) #s(literal -5 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 re) (*.f64 re re)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (fabs.f64 re))) (*.f64 im im) (fabs.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) (log.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) #s(literal 1 binary64)) im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) #s(literal 1 binary64)) im))
#s(approx (+ (* re re) (* im im)) (*.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) (log.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) #s(literal 1 binary64))))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base)))

eval81.0ms (2.2%)

Memory
-24.1MiB live, 37.7MiB allocated; 25ms collecting garbage
Compiler

Compiled 2 328 to 1 143 computations (50.9% saved)

prune7.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2125217
Fresh000
Picked101
Done000
Total2135218
Accuracy
99.8%
Counts
218 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
52.4%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
99.2%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.2%
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
99.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
Compiler

Compiled 174 to 148 computations (14.9% saved)

series107.0ms (2.9%)

Memory
-0.4MiB live, 236.3MiB allocated; 37ms collecting garbage
Counts
31 → 74
Calls
Call 1
Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) #s(hole binary64 (/ (* (log base) (atan2 im re)) (sqrt (pow (log base) 4)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow im 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* 1/2 (/ (pow re 2) (pow (sqrt (pow im 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow (sqrt (pow im 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow im 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow im 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* 1/2 (/ (pow re 2) (sqrt (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow (sqrt (pow im 2)) 3))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow (sqrt (pow im 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow im 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx im #s(hole binary64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow re 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* 1/2 (/ (pow im 2) (pow (sqrt (pow re 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow (sqrt (pow re 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow re 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow re 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* 1/2 (/ (pow im 2) (sqrt (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow (sqrt (pow re 2)) 3))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow (sqrt (pow re 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow re 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ 1 (* (log base) (log base))) #s(hole binary64 (/ 1 (pow (log base) 2))))
#s(approx (sqrt (pow (log base) 4)) #s(hole binary64 (sqrt (pow (log base) 4))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ 1 (* (log base) (log base))) #s(hole binary64 (/ 1 (pow (log (/ 1 base)) 2))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) #s(hole binary64 (* -1 (/ (* (log (/ 1 base)) (atan2 im re)) (sqrt (pow (log (/ 1 base)) 4))))))
#s(approx (sqrt (pow (log base) 4)) #s(hole binary64 (sqrt (pow (log (/ 1 base)) 4))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
Calls

9 calls:

TimeVariablePointExpression
14.0ms
base
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (+ (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (+ (* (log base) (atan2 im re)) 0) 0 (* (log base) (log base)) (* (+ (* (log base) (atan2 im re)) 0) (/ 1 (* (log base) (log base)))) (/ 1 (* (log base) (log base))) 1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (* (* (log base) (log base)) 0))
14.0ms
base
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (+ (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (+ (* (log base) (atan2 im re)) 0) 0 (* (log base) (log base)) (* (+ (* (log base) (atan2 im re)) 0) (/ 1 (* (log base) (log base)))) (/ 1 (* (log base) (log base))) 1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (* (* (log base) (log base)) 0))
13.0ms
re
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (+ (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (+ (* (log base) (atan2 im re)) 0) 0 (* (log base) (log base)) (* (+ (* (log base) (atan2 im re)) 0) (/ 1 (* (log base) (log base)))) (/ 1 (* (log base) (log base))) 1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (* (* (log base) (log base)) 0))
13.0ms
re
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (+ (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (+ (* (log base) (atan2 im re)) 0) 0 (* (log base) (log base)) (* (+ (* (log base) (atan2 im re)) 0) (/ 1 (* (log base) (log base)))) (/ 1 (* (log base) (log base))) 1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (* (* (log base) (log base)) 0))
12.0ms
im
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (+ (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (+ (* (log base) (atan2 im re)) 0) 0 (* (log base) (log base)) (* (+ (* (log base) (atan2 im re)) 0) (/ 1 (* (log base) (log base)))) (/ 1 (* (log base) (log base))) 1 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (sqrt (pow (log base) 4)) (pow (log base) 4) 4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (* (* (log base) (log base)) 0))

rewrite321.0ms (8.6%)

Memory
40.9MiB live, 261.3MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03462219
04001870
121441783
097961478
1289011478
Stop Event
saturated
node-limit
iter-limit
Counts
105 → 744
Calls
Call 1
Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(/.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) #s(hole binary64 (/ (* (log base) (atan2 im re)) (sqrt (pow (log base) 4)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow im 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* 1/2 (/ (pow re 2) (pow (sqrt (pow im 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow (sqrt (pow im 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow im 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow im 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* 1/2 (/ (pow re 2) (sqrt (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow (sqrt (pow im 2)) 3))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow (sqrt (pow im 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow im 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx im #s(hole binary64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow re 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* 1/2 (/ (pow im 2) (pow (sqrt (pow re 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow (sqrt (pow re 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow re 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow re 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* 1/2 (/ (pow im 2) (sqrt (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow (sqrt (pow re 2)) 3))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow (sqrt (pow re 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow re 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ 1 (* (log base) (log base))) #s(hole binary64 (/ 1 (pow (log base) 2))))
#s(approx (sqrt (pow (log base) 4)) #s(hole binary64 (sqrt (pow (log base) 4))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ 1 (* (log base) (log base))) #s(hole binary64 (/ 1 (pow (log (/ 1 base)) 2))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) #s(hole binary64 (* -1 (/ (* (log (/ 1 base)) (atan2 im re)) (sqrt (pow (log (/ 1 base)) 4))))))
#s(approx (sqrt (pow (log base) 4)) #s(hole binary64 (sqrt (pow (log (/ 1 base)) 4))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 (fabs.f64 (fabs.f64 base)))
(log.f64 (fabs.f64 base))
(log.f64 base)
base
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (fabs.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (fabs.f64 (log.f64 base))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (log.f64 base))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (fma.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (fabs.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (fabs.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (fabs.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (log.f64 base))) (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (log.f64 base))) (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (log.f64 base) #s(literal 0 binary64)) (fabs.f64 (log.f64 base))) (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (log.f64 base) #s(literal 0 binary64)) (neg.f64 (log.f64 base))) (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) #s(literal 0 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (fabs.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (fabs.f64 (log.f64 base))) (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
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(fma.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)) (/.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(fma.f64 (/.f64 #s(literal 0 binary64) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (fabs.f64 (log.f64 base))) (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
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(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (fabs.f64 (pow.f64 base (atan2.f64 im re))))
(log.f64 (pow.f64 (fabs.f64 base) (atan2.f64 im re)))
(log.f64 (pow.f64 base (atan2.f64 im re)))
#s(literal 0 binary64)
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx (+ (* (log base) (atan2 im re)) 0) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (/.f64 (*.f64 re re) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 re re) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 im im) (*.f64 im im)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (*.f64 im im))) (*.f64 re re) (log.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 re re) (fabs.f64 im)) #s(literal 1/2 binary64) (fabs.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (*.f64 re re) (fma.f64 (/.f64 (*.f64 re re) (*.f64 (fabs.f64 im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 im))) (fabs.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) (pow.f64 (fabs.f64 im) #s(literal -5 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 im) (*.f64 im im)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (fabs.f64 im))) (*.f64 re re) (fabs.f64 im)))
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
#s(approx (+ (* re re) (* im im)) (fma.f64 re re (*.f64 im im)))
#s(approx (* re re) (*.f64 re re))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 re) (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 re) (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) #s(literal 1 binary64)) re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) #s(literal 1 binary64)) re))
#s(approx (+ (* re re) (* im im)) (*.f64 (fma.f64 (/.f64 im re) (/.f64 im re) #s(literal 1 binary64)) (*.f64 re re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 re) (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 re) (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))))))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) #s(literal 1 binary64))))
#s(approx im im)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (log.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 im im) (fabs.f64 re)) #s(literal 1/2 binary64) (fabs.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (*.f64 im im) (fma.f64 (/.f64 (*.f64 im im) (*.f64 (fabs.f64 re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 re))) (fabs.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 im im) (pow.f64 (fabs.f64 re) #s(literal -5 binary64))) #s(literal 1/16 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 re) (*.f64 re re)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (fabs.f64 re))) (*.f64 im im) (fabs.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) (log.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) #s(literal 1 binary64)) im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) #s(literal 1 binary64)) im))
#s(approx (+ (* re re) (* im im)) (*.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 re re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 im im))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) (log.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) #s(literal 1 binary64))))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (sqrt (pow (log base) 4)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ 1 (* (log base) (log base))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (sqrt (pow (log base) 4)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (+ (* (log base) (atan2 im re)) 0) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (sqrt (pow (log base) 4)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ 1 (* (log base) (log base))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (sqrt (pow (log base) 4))) (/.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (sqrt (pow (log base) 4)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (atan2.f64 im re))))

eval88.0ms (2.4%)

Memory
-45.7MiB live, 109.3MiB allocated; 22ms collecting garbage
Compiler

Compiled 5 188 to 1 790 computations (65.5% saved)

prune17.0ms (0.5%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New47616492
Fresh000
Picked415
Done000
Total48017497
Accuracy
100.0%
Counts
497 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(fma.f64 (/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
99.1%
(/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
99.2%
(/.f64 (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.3%
(/.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
99.2%
(/.f64 (fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.0%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
99.2%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
99.3%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
99.2%
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.2%
(*.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
99.3%
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
99.2%
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)))
99.0%
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
99.3%
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
99.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
99.3%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
Compiler

Compiled 560 to 438 computations (21.8% saved)

series278.0ms (7.5%)

Memory
5.1MiB live, 152.5MiB allocated; 38ms collecting garbage
Counts
28 → 25
Calls
Call 1
Inputs
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(fma.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
#s(literal -4 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (/ (* (atan2 im re) (log base)) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (log base)) #s(hole binary64 (* (pow (log base) 2) (atan2 im re))))
#s(approx im #s(hole binary64 im))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (log base))))
#s(approx (* (/ 1 (log base)) (/ 1 (log base))) #s(hole binary64 (/ 1 (pow (log base) 2))))
#s(approx (pow (log base) -4) #s(hole binary64 (/ 1 (pow (log base) 4))))
#s(approx (* (* (log base) (log base)) 0) #s(hole binary64 0))
#s(approx (pow (* (log base) (log base)) 2) #s(hole binary64 (pow (log base) 4)))
#s(approx (/ (* (atan2 im re) (log base)) (* (log base) (log base))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (* (/ 1 (log base)) (/ 1 (log base))) #s(hole binary64 (/ 1 (pow (log (/ 1 base)) 2))))
#s(approx (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (* (log base) (atan2 im re)) (log base)) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (atan2 im re))))
#s(approx (pow (log base) -4) #s(hole binary64 (/ 1 (pow (log (/ 1 base)) 4))))
#s(approx (pow (* (log base) (log base)) 2) #s(hole binary64 (pow (log (/ 1 base)) 4)))
Calls

9 calls:

TimeVariablePointExpression
98.0ms
re
@inf
((/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) (/ 1 (log base))) (/ 1 (log base)) 1 (* (+ (* (log base) (atan2 im re)) 0) (* (/ 1 (log base)) (/ 1 (log base)))) (+ (* (log base) (atan2 im re)) 0) 0 (* (/ 1 (log base)) (/ 1 (log base))) (* (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (pow (log base) -4)) (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (* (* (log base) (atan2 im re)) (log base)) (* (log base) (atan2 im re)) (pow (log base) -4) -4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (* (log base) (log base)) 2)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) (pow (* (log base) (log base)) 2) 2)
77.0ms
base
@inf
((/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) (/ 1 (log base))) (/ 1 (log base)) 1 (* (+ (* (log base) (atan2 im re)) 0) (* (/ 1 (log base)) (/ 1 (log base)))) (+ (* (log base) (atan2 im re)) 0) 0 (* (/ 1 (log base)) (/ 1 (log base))) (* (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (pow (log base) -4)) (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (* (* (log base) (atan2 im re)) (log base)) (* (log base) (atan2 im re)) (pow (log base) -4) -4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (* (log base) (log base)) 2)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) (pow (* (log base) (log base)) 2) 2)
49.0ms
im
@inf
((/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) (/ 1 (log base))) (/ 1 (log base)) 1 (* (+ (* (log base) (atan2 im re)) 0) (* (/ 1 (log base)) (/ 1 (log base)))) (+ (* (log base) (atan2 im re)) 0) 0 (* (/ 1 (log base)) (/ 1 (log base))) (* (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (pow (log base) -4)) (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (* (* (log base) (atan2 im re)) (log base)) (* (log base) (atan2 im re)) (pow (log base) -4) -4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (* (log base) (log base)) 2)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) (pow (* (log base) (log base)) 2) 2)
10.0ms
base
@-inf
((/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) (/ 1 (log base))) (/ 1 (log base)) 1 (* (+ (* (log base) (atan2 im re)) 0) (* (/ 1 (log base)) (/ 1 (log base)))) (+ (* (log base) (atan2 im re)) 0) 0 (* (/ 1 (log base)) (/ 1 (log base))) (* (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (pow (log base) -4)) (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (* (* (log base) (atan2 im re)) (log base)) (* (log base) (atan2 im re)) (pow (log base) -4) -4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (* (log base) (log base)) 2)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) (pow (* (log base) (log base)) 2) 2)
10.0ms
base
@0
((/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) (/ 1 (log base))) (/ 1 (log base)) 1 (* (+ (* (log base) (atan2 im re)) 0) (* (/ 1 (log base)) (/ 1 (log base)))) (+ (* (log base) (atan2 im re)) 0) 0 (* (/ 1 (log base)) (/ 1 (log base))) (* (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (pow (log base) -4)) (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (* (* (log base) (atan2 im re)) (log base)) (* (log base) (atan2 im re)) (pow (log base) -4) -4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (* (log base) (log base)) 2)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) (pow (* (log base) (log base)) 2) 2)

rewrite55.0ms (1.5%)

Memory
11.4MiB live, 97.8MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104562
0158438
0524438
11105438
Stop Event
saturated
iter-limit
iter-limit
unsound
iter-limit
Counts
53 → 216
Calls
Call 1
Inputs
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 base) (log.f64 base))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(fma.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
#s(literal -4 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (/ (* (atan2 im re) (log base)) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (log base)) #s(hole binary64 (* (pow (log base) 2) (atan2 im re))))
#s(approx im #s(hole binary64 im))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (log base))))
#s(approx (* (/ 1 (log base)) (/ 1 (log base))) #s(hole binary64 (/ 1 (pow (log base) 2))))
#s(approx (pow (log base) -4) #s(hole binary64 (/ 1 (pow (log base) 4))))
#s(approx (* (* (log base) (log base)) 0) #s(hole binary64 0))
#s(approx (pow (* (log base) (log base)) 2) #s(hole binary64 (pow (log base) 4)))
#s(approx (/ (* (atan2 im re) (log base)) (* (log base) (log base))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (* (/ 1 (log base)) (/ 1 (log base))) #s(hole binary64 (/ 1 (pow (log (/ 1 base)) 2))))
#s(approx (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (* (log base) (atan2 im re)) (log base)) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (atan2 im re))))
#s(approx (pow (log base) -4) #s(hole binary64 (/ 1 (pow (log (/ 1 base)) 4))))
#s(approx (pow (* (log base) (log base)) 2) #s(hole binary64 (pow (log (/ 1 base)) 4)))
Outputs
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(-.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (atan2.f64 im re) (log.f64 base) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (atan2.f64 im re) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(atan2.f64 im re)
im
re
(log.f64 (fabs.f64 base))
(log.f64 base)
base
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (fabs.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fabs.f64 (*.f64 (log.f64 base) (log.f64 base)))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(log.f64 (pow.f64 base (log.f64 base)))
#s(approx (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal 1 binary64)) (log.f64 base))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (log.f64 base))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(-.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (atan2.f64 im re) (log.f64 base) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (atan2.f64 im re) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(log.f64 (pow.f64 base (atan2.f64 im re)))
#s(literal 0 binary64)
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (fabs.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1 binary64)) (log.f64 base))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 base) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))))
(fma.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(-.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)))
(log.f64 (pow.f64 base (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (pow.f64 base (*.f64 (atan2.f64 im re) (log.f64 base))))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (atan2.f64 im re) (log.f64 base) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (atan2.f64 im re) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(literal -4 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 base) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))))
(fma.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(-.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)))
(log.f64 (pow.f64 base (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 base) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))))
(fma.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(-.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)))
(log.f64 (pow.f64 base (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))))
#s(literal 0 binary64)
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(literal 2 binary64)
#s(approx (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (atan2 im re) (log base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (* (* (log base) (atan2 im re)) (log base)) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
#s(approx im im)
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (* (/ 1 (log base)) (/ 1 (log base))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (pow (log base) -4) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
#s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))
#s(approx (pow (* (log base) (log base)) 2) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (* (atan2 im re) (log base)) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (* (/ 1 (log base)) (/ 1 (log base))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (atan2.f64 im re))))
#s(approx (* (* (log base) (atan2 im re)) (log base)) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (pow (log base) -4) (pow.f64 (neg.f64 (log.f64 base)) #s(literal -4 binary64)))
#s(approx (pow (* (log base) (log base)) 2) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64)))

eval19.0ms (0.5%)

Memory
2.0MiB live, 47.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 1 564 to 516 computations (67% saved)

prune18.0ms (0.5%)

Memory
-24.0MiB live, 37.1MiB allocated; 8ms collecting garbage
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New1528160
Fresh3811
Picked325
Done011
Total15819177
Accuracy
100.0%
Counts
177 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
99.2%
(/.f64 (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.3%
(/.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
99.0%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
99.2%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
99.3%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
99.2%
(/.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.2%
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.3%
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
99.2%
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)))
99.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)))
99.3%
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 base)))
99.1%
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
99.2%
(*.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
99.3%
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
99.1%
(*.f64 #s(approx (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
99.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
99.3%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
Compiler

Compiled 568 to 454 computations (20.1% saved)

series183.0ms (4.9%)

Memory
-20.7MiB live, 169.5MiB allocated; 15ms collecting garbage
Counts
27 → 27
Calls
Call 1
Inputs
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(log.f64 base)
base
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(atan2.f64 im re)
im
re
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
#s(literal -4 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (* (log base) (/ (atan2 im re) (* (log base) (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (pow (log base) 2))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log base) (* (atan2 im re) (* (log base) (log base)))) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (atan2 im re) (* (log base) (log base))) #s(hole binary64 (* (pow (log base) 2) (atan2 im re))))
#s(approx im #s(hole binary64 im))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (log base) (* (log base) (log base))) #s(hole binary64 (/ 1 (log base))))
#s(approx (pow (log base) -2) #s(hole binary64 (/ 1 (pow (log base) 2))))
#s(approx (pow (log base) -4) #s(hole binary64 (/ 1 (pow (log base) 4))))
#s(approx (* (* (log base) (log base)) 0) #s(hole binary64 0))
#s(approx (pow (* (log base) (log base)) 2) #s(hole binary64 (pow (log base) 4)))
#s(approx (* (log base) (/ (atan2 im re) (* (log base) (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (atan2 im re) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (pow (log (/ 1 base)) 2))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (log base) (* (log base) (log base))) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (pow (log base) -2) #s(hole binary64 (/ 1 (pow (log (/ 1 base)) 2))))
#s(approx (* (log base) (* (atan2 im re) (* (log base) (log base)))) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (atan2 im re) (* (log base) (log base))) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (atan2 im re))))
#s(approx (pow (log base) -4) #s(hole binary64 (/ 1 (pow (log (/ 1 base)) 4))))
#s(approx (pow (* (log base) (log base)) 2) #s(hole binary64 (pow (log (/ 1 base)) 4)))
Calls

9 calls:

TimeVariablePointExpression
96.0ms
base
@-inf
((* (log base) (/ (atan2 im re) (* (log base) (log base)))) (log base) base (/ (atan2 im re) (* (log base) (log base))) (atan2 im re) im re (* (log base) (log base)) (* (atan2 im re) (/ (log base) (* (log base) (log base)))) (/ (log base) (* (log base) (log base))) (* (+ (* (log base) (atan2 im re)) 0) (pow (log base) -2)) (+ (* (log base) (atan2 im re)) 0) 0 (pow (log base) -2) -2 (* (* (log base) (* (atan2 im re) (* (log base) (log base)))) (pow (log base) -4)) (* (log base) (* (atan2 im re) (* (log base) (log base)))) (* (atan2 im re) (* (log base) (log base))) (pow (log base) -4) -4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (* (log base) (log base)) 2)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (* (* (log base) (log base)) 0) (pow (* (log base) (log base)) 2) 2)
21.0ms
base
@0
((* (log base) (/ (atan2 im re) (* (log base) (log base)))) (log base) base (/ (atan2 im re) (* (log base) (log base))) (atan2 im re) im re (* (log base) (log base)) (* (atan2 im re) (/ (log base) (* (log base) (log base)))) (/ (log base) (* (log base) (log base))) (* (+ (* (log base) (atan2 im re)) 0) (pow (log base) -2)) (+ (* (log base) (atan2 im re)) 0) 0 (pow (log base) -2) -2 (* (* (log base) (* (atan2 im re) (* (log base) (log base)))) (pow (log base) -4)) (* (log base) (* (atan2 im re) (* (log base) (log base)))) (* (atan2 im re) (* (log base) (log base))) (pow (log base) -4) -4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (* (log base) (log base)) 2)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (* (* (log base) (log base)) 0) (pow (* (log base) (log base)) 2) 2)
11.0ms
re
@0
((* (log base) (/ (atan2 im re) (* (log base) (log base)))) (log base) base (/ (atan2 im re) (* (log base) (log base))) (atan2 im re) im re (* (log base) (log base)) (* (atan2 im re) (/ (log base) (* (log base) (log base)))) (/ (log base) (* (log base) (log base))) (* (+ (* (log base) (atan2 im re)) 0) (pow (log base) -2)) (+ (* (log base) (atan2 im re)) 0) 0 (pow (log base) -2) -2 (* (* (log base) (* (atan2 im re) (* (log base) (log base)))) (pow (log base) -4)) (* (log base) (* (atan2 im re) (* (log base) (log base)))) (* (atan2 im re) (* (log base) (log base))) (pow (log base) -4) -4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (* (log base) (log base)) 2)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (* (* (log base) (log base)) 0) (pow (* (log base) (log base)) 2) 2)
11.0ms
re
@-inf
((* (log base) (/ (atan2 im re) (* (log base) (log base)))) (log base) base (/ (atan2 im re) (* (log base) (log base))) (atan2 im re) im re (* (log base) (log base)) (* (atan2 im re) (/ (log base) (* (log base) (log base)))) (/ (log base) (* (log base) (log base))) (* (+ (* (log base) (atan2 im re)) 0) (pow (log base) -2)) (+ (* (log base) (atan2 im re)) 0) 0 (pow (log base) -2) -2 (* (* (log base) (* (atan2 im re) (* (log base) (log base)))) (pow (log base) -4)) (* (log base) (* (atan2 im re) (* (log base) (log base)))) (* (atan2 im re) (* (log base) (log base))) (pow (log base) -4) -4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (* (log base) (log base)) 2)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (* (* (log base) (log base)) 0) (pow (* (log base) (log base)) 2) 2)
10.0ms
base
@inf
((* (log base) (/ (atan2 im re) (* (log base) (log base)))) (log base) base (/ (atan2 im re) (* (log base) (log base))) (atan2 im re) im re (* (log base) (log base)) (* (atan2 im re) (/ (log base) (* (log base) (log base)))) (/ (log base) (* (log base) (log base))) (* (+ (* (log base) (atan2 im re)) 0) (pow (log base) -2)) (+ (* (log base) (atan2 im re)) 0) 0 (pow (log base) -2) -2 (* (* (log base) (* (atan2 im re) (* (log base) (log base)))) (pow (log base) -4)) (* (log base) (* (atan2 im re) (* (log base) (log base)))) (* (atan2 im re) (* (log base) (log base))) (pow (log base) -4) -4 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (* (log base) (log base)) 2)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (atan2 im re)) (* (* (log base) (log base)) 0) (pow (* (log base) (log base)) 2) 2)

rewrite43.0ms (1.2%)

Memory
19.2MiB live, 63.6MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098568
0153477
0391477
1774477
Stop Event
saturated
iter-limit
iter-limit
unsound
iter-limit
Counts
54 → 123
Calls
Call 1
Inputs
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(log.f64 base)
base
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(atan2.f64 im re)
im
re
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (log.f64 base) #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
#s(literal -4 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* (log base) (/ (atan2 im re) (* (log base) (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (pow (log base) 2))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log base) (* (atan2 im re) (* (log base) (log base)))) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (atan2 im re) (* (log base) (log base))) #s(hole binary64 (* (pow (log base) 2) (atan2 im re))))
#s(approx im #s(hole binary64 im))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (log base) (* (log base) (log base))) #s(hole binary64 (/ 1 (log base))))
#s(approx (pow (log base) -2) #s(hole binary64 (/ 1 (pow (log base) 2))))
#s(approx (pow (log base) -4) #s(hole binary64 (/ 1 (pow (log base) 4))))
#s(approx (* (* (log base) (log base)) 0) #s(hole binary64 0))
#s(approx (pow (* (log base) (log base)) 2) #s(hole binary64 (pow (log base) 4)))
#s(approx (* (log base) (/ (atan2 im re) (* (log base) (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (atan2 im re) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (pow (log (/ 1 base)) 2))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (log base) (* (log base) (log base))) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (pow (log base) -2) #s(hole binary64 (/ 1 (pow (log (/ 1 base)) 2))))
#s(approx (* (log base) (* (atan2 im re) (* (log base) (log base)))) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (atan2 im re) (* (log base) (log base))) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (atan2 im re))))
#s(approx (pow (log base) -4) #s(hole binary64 (/ 1 (pow (log (/ 1 base)) 4))))
#s(approx (pow (* (log base) (log base)) 2) #s(hole binary64 (pow (log (/ 1 base)) 4)))
Outputs
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 (fabs.f64 base))
(log.f64 base)
base
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(atan2.f64 im re)
im
re
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (fabs.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(fabs.f64 (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 (pow.f64 base (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (atan2.f64 im re))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 (log.f64 base) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (log.f64 base)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))
#s(literal 0 binary64)
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal -2 binary64))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
#s(literal -2 binary64)
(*.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)))
(*.f64 (log.f64 base) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (log.f64 base) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(literal -4 binary64)
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(neg.f64 (-.f64 #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))))
(fma.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base) (neg.f64 #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) (neg.f64 #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))))
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)) (neg.f64 #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))))
(fma.f64 (log.f64 base) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (neg.f64 #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (neg.f64 #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (log.f64 base) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 2 binary64))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(literal 2 binary64)
#s(approx (* (log base) (/ (atan2 im re) (* (log base) (log base)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (atan2 im re) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx (+ (* (log base) (atan2 im re)) 0) (*.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (log base) (* (atan2 im re) (* (log base) (log base)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (* (log base) (log base))) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
#s(approx im im)
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (log base) (* (log base) (log base))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (pow (log base) -2) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (pow (log base) -4) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
#s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))
#s(approx (pow (* (log base) (log base)) 2) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (* (log base) (/ (atan2 im re) (* (log base) (log base)))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (/ (atan2 im re) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (log base) (* (log base) (log base))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (+ (* (log base) (atan2 im re)) 0) (neg.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
#s(approx (pow (log base) -2) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (* (log base) (* (atan2 im re) (* (log base) (log base)))) (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (atan2.f64 im re))))
#s(approx (* (atan2 im re) (* (log base) (log base))) (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
#s(approx (pow (log base) -4) (pow.f64 (neg.f64 (log.f64 base)) #s(literal -4 binary64)))
#s(approx (pow (* (log base) (log base)) 2) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64)))

eval15.0ms (0.4%)

Memory
-10.0MiB live, 35.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 260 to 417 computations (66.9% saved)

prune18.0ms (0.5%)

Memory
-3.4MiB live, 40.7MiB allocated; 4ms collecting garbage
Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New1306136
Fresh2911
Picked235
Done033
Total13421155
Accuracy
100.0%
Counts
155 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
99.3%
(/.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
99.0%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
99.3%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
99.2%
(/.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.2%
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.2%
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)))
99.2%
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)))
99.3%
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
99.2%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 base)))
99.3%
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
99.1%
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
99.2%
(*.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
99.1%
(*.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
99.3%
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
99.4%
(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
99.2%
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
99.1%
(*.f64 (log.f64 base) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
99.1%
(*.f64 #s(approx (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
99.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
99.3%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
Compiler

Compiled 673 to 397 computations (41% saved)

regimes57.0ms (1.5%)

Memory
14.8MiB live, 116.0MiB allocated; 9ms collecting garbage
Accuracy

Total -30.5b remaining (-8139.9%)

Threshold costs -30.5b (-8139.9%)

Counts
36 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(/.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)))
(*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 #s(approx (+ (* (* (* (log base) (atan2 im re)) (log base)) (log base)) 0) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)))
(*.f64 (log.f64 base) (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(/.f64 (fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)) (log.f64 base)) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
Calls

5 calls:

14.0ms
im
14.0ms
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
9.0ms
re
9.0ms
(log.f64 base)
9.0ms
base
Results
AccuracySegmentsBranch
99.4%1(log.f64 base)
99.4%1(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.4%1re
99.4%1im
99.4%1base
Compiler

Compiled 27 to 31 computations (-14.8% saved)

derivations37.0ms (1%)

Memory
-22.6MiB live, 24.3MiB allocated; 3ms collecting garbage
Stop Event
fuel
Compiler

Compiled 24 to 22 computations (8.3% saved)

preprocess11.0ms (0.3%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Remove

(abs base)

Compiler

Compiled 94 to 84 computations (10.6% saved)

end0.0ms (0%)

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

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