math.log/2 on complex, imaginary part

Time bar (total: 4.8s)

start0.0ms (0%)

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

analyze179.0ms (3.7%)

Memory
-2.3MiB live, 237.3MiB allocated; 53ms 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)

sample1.4s (29.5%)

Memory
55.6MiB live, 1 465.8MiB allocated; 232ms collecting garbage
Samples
1.0s8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 718.0ms
ival-hypot: 200.0ms (27.9% of total)
ival-mult!: 188.0ms (26.2% of total)
ival-log: 182.0ms (25.4% of total)
ival-atan2: 75.0ms (10.4% of total)
ival-div!: 34.0ms (4.7% of total)
ival-sub!: 20.0ms (2.8% of total)
ival-add!: 17.0ms (2.4% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess324.0ms (6.7%)

Memory
-13.9MiB live, 29.5MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079141
1283121
2121086
3717986
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.7%
(/.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))))
Compiler

Compiled 44 to 36 computations (18.2% saved)

series127.0ms (2.6%)

Memory
19.4MiB live, 351.5MiB allocated; 45ms 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
34.0ms
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))
21.0ms
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))
14.0ms
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))
11.0ms
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)) (* (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))
11.0ms
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))

rewrite268.0ms (5.6%)

Memory
-4.6MiB live, 264.4MiB allocated; 136ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03051877
03261672
116081582
084461280
Stop Event
iter-limit
node-limit
iter-limit
Counts
82 → 364
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 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.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 (*.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 (-.f64 (*.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 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.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 (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 (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) (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 (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) (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))))
(-.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 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.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)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #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 (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 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #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)) #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)))
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(log.f64 base)
base
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
(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))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im)))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re)))) (sqrt.f64 (-.f64 (*.f64 im im) (*.f64 re re))))
(/.f64 (hypot.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 im im) im)) (sqrt.f64 (fma.f64 (*.f64 re re) (*.f64 re re) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 (hypot.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 re re) re)) (sqrt.f64 (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 re re))))))
(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)) (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 im)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(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)) (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 re)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) im)
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (neg.f64 (neg.f64 re)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 re)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (neg.f64 re))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (fabs.f64 re))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) re)
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (neg.f64 (neg.f64 im)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (neg.f64 (fabs.f64 im)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (neg.f64 im))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (fabs.f64 im))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) im)
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 (neg.f64 re)))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 re))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (fabs.f64 re))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) re)
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 (neg.f64 im)))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 im))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (fabs.f64 im))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) im)
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (fabs.f64 im)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(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 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (fabs.f64 re)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.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) (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 re) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 re) (neg.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) (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 im) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(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 (fabs.f64 re) (neg.f64 (neg.f64 im)))
(hypot.f64 (fabs.f64 re) (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 (fabs.f64 re) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 re) (neg.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) (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 (fabs.f64 im) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
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#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 (fabs.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 (fabs.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 (fabs.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) im) (*.f64 (*.f64 im 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 (fabs.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 #s(literal 1/16 binary64) (*.f64 re re)) (pow.f64 (fabs.f64 im) #s(literal 5 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) im) (*.f64 (*.f64 im im) im)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re 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)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 re))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.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 (neg.f64 (neg.f64 (log.f64 (neg.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) im) (*.f64 (*.f64 im im) im)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re 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 (fabs.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 (fabs.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 (fabs.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) re) (*.f64 (*.f64 re 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 (fabs.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 #s(literal 1/16 binary64) (*.f64 im im)) (pow.f64 (fabs.f64 re) #s(literal 5 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) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im 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)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 im))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (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)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (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) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im 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)))

eval65.0ms (1.4%)

Memory
-3.3MiB live, 94.9MiB allocated; 19ms collecting garbage
Compiler

Compiled 3 800 to 1 768 computations (53.5% saved)

prune14.0ms (0.3%)

Memory
-8.6MiB live, 36.8MiB allocated; 5ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3039312
Fresh000
Picked101
Done000
Total3049313
Accuracy
99.9%
Counts
313 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.5%
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
81.5%
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.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)))))))
25.3%
(/.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 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
22.9%
(/.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))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
25.9%
(/.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))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
26.1%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 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)))
99.3%
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
99.5%
#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 496 to 348 computations (29.8% saved)

series352.0ms (7.3%)

Memory
-21.8MiB live, 504.6MiB allocated; 112ms collecting garbage
Counts
46 → 76
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 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))
(/.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))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 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)
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(log.f64 (neg.f64 (log.f64 base)))
(neg.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(log.f64 (log.f64 base))
#s(literal 1 binary64)
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))
(-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
(+.f64 #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)) #s(literal 0 binary64))
(+.f64 (*.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) #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 (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 (- (pow (* (log base) (atan2 im re)) 3) 0) #s(hole binary64 (* (pow (log base) 3) (pow (atan2 im re) 3))))
#s(approx (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0))) #s(hole binary64 (* (pow (log base) 2) (pow (atan2 im 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)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (log base))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (log base)))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (log base))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (log base))))
#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 (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (* -1 (log (/ 1 base))))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (* -1 (log (/ 1 base)))))))
#s(approx (neg (log base)) #s(hole binary64 (log (/ 1 base))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (- (pow (* (log base) (atan2 im re)) 3) 0) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (pow (atan2 im re) 3)))))
#s(approx (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0))) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
Calls

9 calls:

TimeVariablePointExpression
107.0ms
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) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (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) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0) (/ (/ (- (pow (* (log base) (atan2 im re)) 3) 0) (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/ (- (pow (* (log base) (atan2 im re)) 3) 0) (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)))) (- (pow (* (log base) (atan2 im re)) 3) 0) (pow (* (log base) (atan2 im re)) 3) 3 (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0))) (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)) (* (* (log base) (atan2 im re)) 0) (+ (* (log base) (log base)) (* 0 0)))
102.0ms
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) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (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) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0) (/ (/ (- (pow (* (log base) (atan2 im re)) 3) 0) (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/ (- (pow (* (log base) (atan2 im re)) 3) 0) (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)))) (- (pow (* (log base) (atan2 im re)) 3) 0) (pow (* (log base) (atan2 im re)) 3) 3 (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0))) (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)) (* (* (log base) (atan2 im re)) 0) (+ (* (log base) (log base)) (* 0 0)))
64.0ms
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) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (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) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0) (/ (/ (- (pow (* (log base) (atan2 im re)) 3) 0) (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/ (- (pow (* (log base) (atan2 im re)) 3) 0) (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)))) (- (pow (* (log base) (atan2 im re)) 3) 0) (pow (* (log base) (atan2 im re)) 3) 3 (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0))) (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)) (* (* (log base) (atan2 im re)) 0) (+ (* (log base) (log base)) (* 0 0)))
17.0ms
im
@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) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (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) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0) (/ (/ (- (pow (* (log base) (atan2 im re)) 3) 0) (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/ (- (pow (* (log base) (atan2 im re)) 3) 0) (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)))) (- (pow (* (log base) (atan2 im re)) 3) 0) (pow (* (log base) (atan2 im re)) 3) 3 (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0))) (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)) (* (* (log base) (atan2 im re)) 0) (+ (* (log base) (log base)) (* 0 0)))
13.0ms
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) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (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) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0))) (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (exp (* (log (log base)) 1))) (exp (* (log (log base)) 1)) (* (log (log base)) 1) (log (log base)) 1 (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0) (/ (/ (- (pow (* (log base) (atan2 im re)) 3) 0) (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)))) (+ (* (log base) (log base)) (* 0 0))) (/ (- (pow (* (log base) (atan2 im re)) 3) 0) (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)))) (- (pow (* (log base) (atan2 im re)) 3) 0) (pow (* (log base) (atan2 im re)) 3) 3 (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0))) (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0)) (* (* (log base) (atan2 im re)) 0) (+ (* (log base) (log base)) (* 0 0)))

rewrite213.0ms (4.4%)

Memory
21.0MiB live, 395.8MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03692384
04351962
119501872
096701570
Stop Event
iter-limit
node-limit
iter-limit
Counts
122 → 1 049
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 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))
(/.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))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 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)
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(log.f64 (neg.f64 (log.f64 base)))
(neg.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(log.f64 (log.f64 base))
#s(literal 1 binary64)
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))
(-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
(+.f64 #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)) #s(literal 0 binary64))
(+.f64 (*.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) #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 (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 (- (pow (* (log base) (atan2 im re)) 3) 0) #s(hole binary64 (* (pow (log base) 3) (pow (atan2 im re) 3))))
#s(approx (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0))) #s(hole binary64 (* (pow (log base) 2) (pow (atan2 im 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)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (log base))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (log base)))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (log base))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (log base))))
#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 (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (* -1 (log (/ 1 base))))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (* -1 (log (/ 1 base)))))))
#s(approx (neg (log base)) #s(hole binary64 (log (/ 1 base))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (- (pow (* (log base) (atan2 im re)) 3) 0) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (pow (atan2 im re) 3)))))
#s(approx (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0))) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
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)))
(/.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)
(pow.f64 (atan2.f64 im re) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal 1 binary64)))
im
re
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (log.f64 base))) (cosh.f64 (log.f64 (log.f64 base))) (-.f64 (*.f64 (sinh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(log.f64 base)
base
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3/2 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3/2 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))))
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#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 im im)) (pow.f64 (fabs.f64 re) #s(literal 5 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) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im 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)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 im))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (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)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (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) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im 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)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (* (log (neg (log base))) 2) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
#s(approx (log (neg (log base))) (log.f64 (neg.f64 (log.f64 base))))
#s(approx (neg (log base)) (neg.f64 (log.f64 base)))
#s(approx (* (log (log base)) 1) (log.f64 (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 (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 (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (* (log (neg (log base))) 2) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
#s(approx (log (neg (log base))) (log.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 base))))))
#s(approx (neg (log base)) (neg.f64 (log.f64 base)))
#s(approx (* (log (log base)) 1) (log.f64 (neg.f64 (neg.f64 (log.f64 base)))))
#s(approx (- (pow (* (log base) (atan2 im re)) 3) 0) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)))
#s(approx (+ (pow (* (log base) (atan2 im re)) 2) (+ 0 (* (* (log base) (atan2 im re)) 0))) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))

eval80.0ms (1.7%)

Memory
30.9MiB live, 218.4MiB allocated; 18ms collecting garbage
Compiler

Compiled 10 950 to 3 409 computations (68.9% saved)

prune52.0ms (1.1%)

Memory
-24.3MiB live, 68.7MiB allocated; 6ms collecting garbage
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New81220832
Fresh314
Picked415
Done000
Total81922841
Accuracy
100.0%
Counts
841 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.5%
(/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
81.3%
(/.f64 (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.5%
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
99.3%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
45.0%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
99.2%
(/.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)))
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)))
99.3%
(/.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))))
45.0%
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
99.2%
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
14.5%
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (log.f64 (pow.f64 base (log.f64 base))))
52.6%
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (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)))
49.8%
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
81.3%
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
81.2%
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
85.0%
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
52.8%
#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) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (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) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
99.5%
#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)))
53.0%
#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) (exp.f64 (log.f64 (log.f64 base)))))
99.5%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base)))
Compiler

Compiled 868 to 712 computations (18% saved)

series509.0ms (10.6%)

Memory
36.6MiB live, 811.6MiB allocated; 193ms collecting garbage
Counts
37 → 28
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 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (atan2.f64 im re) #s(literal -1 binary64))
(atan2.f64 im re)
im
re
#s(literal -1 binary64)
(log.f64 base)
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) (exp.f64 (log.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(log.f64 (neg.f64 (log.f64 base)))
(neg.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base))))
(exp.f64 #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
(*.f64 (log.f64 base) (log.f64 base))
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 (/ 1 (pow (atan2 im re) -1)) #s(hole binary64 (atan2 im re)))
#s(approx (pow (atan2 im re) -1) #s(hole binary64 (/ 1 (atan2 im re))))
#s(approx re #s(hole binary64 re))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (pow (* (log base) (atan2 im re)) 3) #s(hole binary64 (* (pow (log base) 3) (pow (atan2 im re) 3))))
#s(approx (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base))) #s(hole binary64 (* (pow (log base) 4) (pow (atan2 im re) 2))))
#s(approx (+ (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (log base) 2) (pow (atan2 im re) 2))))
#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 (log base)) #s(hole binary64 (log (log base))))
#s(approx (exp (* (log (neg (log base))) 2)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (log base))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (log base)))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (log base))))
#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 (log base)) #s(hole binary64 (log (* -1 (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 (exp (* (log (neg (log base))) 2)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (* -1 (log (/ 1 base))))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (* -1 (log (/ 1 base)))))))
#s(approx (neg (log base)) #s(hole binary64 (log (/ 1 base))))
#s(approx (pow (* (log base) (atan2 im re)) 3) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (pow (atan2 im re) 3)))))
#s(approx (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base))) #s(hole binary64 (* (pow (log (/ 1 base)) 4) (pow (atan2 im re) 2))))
#s(approx (+ (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
Calls

9 calls:

TimeVariablePointExpression
121.0ms
re
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (pow (atan2 im re) -1)) (log base)) (/ 1 (pow (atan2 im re) -1)) 1 (pow (atan2 im re) -1) (atan2 im re) im re -1 (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) 0 (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (log base) (atan2 im re)) 0) (pow (exp 2) (log (neg (log base))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) (/ (pow (* (log base) (atan2 im re)) 3) (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base)))) (pow (* (log base) (atan2 im re)) 3) 3 (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base))) (+ (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) (* (log base) (log base)))
68.0ms
im
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (pow (atan2 im re) -1)) (log base)) (/ 1 (pow (atan2 im re) -1)) 1 (pow (atan2 im re) -1) (atan2 im re) im re -1 (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) 0 (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (log base) (atan2 im re)) 0) (pow (exp 2) (log (neg (log base))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) (/ (pow (* (log base) (atan2 im re)) 3) (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base)))) (pow (* (log base) (atan2 im re)) 3) 3 (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base))) (+ (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) (* (log base) (log base)))
64.0ms
im
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (pow (atan2 im re) -1)) (log base)) (/ 1 (pow (atan2 im re) -1)) 1 (pow (atan2 im re) -1) (atan2 im re) im re -1 (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) 0 (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (log base) (atan2 im re)) 0) (pow (exp 2) (log (neg (log base))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) (/ (pow (* (log base) (atan2 im re)) 3) (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base)))) (pow (* (log base) (atan2 im re)) 3) 3 (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base))) (+ (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) (* (log base) (log base)))
63.0ms
base
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (pow (atan2 im re) -1)) (log base)) (/ 1 (pow (atan2 im re) -1)) 1 (pow (atan2 im re) -1) (atan2 im re) im re -1 (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) 0 (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (log base) (atan2 im re)) 0) (pow (exp 2) (log (neg (log base))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) (/ (pow (* (log base) (atan2 im re)) 3) (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base)))) (pow (* (log base) (atan2 im re)) 3) 3 (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base))) (+ (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) (* (log base) (log base)))
47.0ms
base
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (pow (atan2 im re) -1)) (log base)) (/ 1 (pow (atan2 im re) -1)) 1 (pow (atan2 im re) -1) (atan2 im re) im re -1 (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (exp (log (log base)))) (exp (log (log base))) (log (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) 0 (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (log base) (atan2 im re)) 0) (pow (exp 2) (log (neg (log base))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) (pow (exp 2) (log (neg (log base)))) (exp 2) (/ (pow (* (log base) (atan2 im re)) 3) (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base)))) (pow (* (log base) (atan2 im re)) 3) 3 (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base))) (+ (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) (* (log base) (log base)))

rewrite95.0ms (2%)

Memory
21.0MiB live, 66.8MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0121756
0173543
0483543
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
65 → 233
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 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (atan2.f64 im re) #s(literal -1 binary64))
(atan2.f64 im re)
im
re
#s(literal -1 binary64)
(log.f64 base)
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) (exp.f64 (log.f64 (log.f64 base)))))
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(log.f64 (neg.f64 (log.f64 base)))
(neg.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base))))
(exp.f64 #s(literal 2 binary64))
(/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))
(*.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))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ 1 (pow (atan2 im re) -1)) #s(hole binary64 (atan2 im re)))
#s(approx (pow (atan2 im re) -1) #s(hole binary64 (/ 1 (atan2 im re))))
#s(approx re #s(hole binary64 re))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (pow (* (log base) (atan2 im re)) 3) #s(hole binary64 (* (pow (log base) 3) (pow (atan2 im re) 3))))
#s(approx (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base))) #s(hole binary64 (* (pow (log base) 4) (pow (atan2 im re) 2))))
#s(approx (+ (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (log base) 2) (pow (atan2 im re) 2))))
#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 (log base)) #s(hole binary64 (log (log base))))
#s(approx (exp (* (log (neg (log base))) 2)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (log base))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (log base)))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (log base))))
#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 (log base)) #s(hole binary64 (log (* -1 (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 (exp (* (log (neg (log base))) 2)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (* -1 (log (/ 1 base))))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (* -1 (log (/ 1 base)))))))
#s(approx (neg (log base)) #s(hole binary64 (log (/ 1 base))))
#s(approx (pow (* (log base) (atan2 im re)) 3) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (pow (atan2 im re) 3)))))
#s(approx (* (+ (pow (* (log base) (atan2 im re)) 2) 0) (* (log base) (log base))) #s(hole binary64 (* (pow (log (/ 1 base)) 4) (pow (atan2 im re) 2))))
#s(approx (+ (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (atan2.f64 im re) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal -1 binary64)))
(atan2.f64 im re)
im
re
#s(literal -1 binary64)
(exp.f64 (log.f64 (log.f64 base)))
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(log.f64 base)
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) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (log.f64 base)))
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(log.f64 base)
(log.f64 (log.f64 base))
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #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(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)))) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (fma.f64 #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))))))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #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 (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 (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)))
(log.f64 (pow.f64 base (atan2.f64 im re)))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.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 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 base)))) (exp.f64 (log.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))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (neg.f64 (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(+.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 (pow.f64 base (log.f64 base)))
(*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (neg.f64 (log.f64 base))))
(+.f64 (log.f64 (neg.f64 (log.f64 base))) (log.f64 (neg.f64 (log.f64 base))))
(log.f64 (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 (neg.f64 (log.f64 base)))
(*.f64 #s(literal -1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal -1 binary64))
(neg.f64 (log.f64 base))
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eval22.0ms (0.5%)

Memory
-10.7MiB live, 35.2MiB allocated; 12ms collecting garbage
Compiler

Compiled 1 564 to 579 computations (63% saved)

prune15.0ms (0.3%)

Memory
-14.5MiB live, 31.2MiB allocated; 4ms collecting garbage
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New1427149
Fresh8816
Picked325
Done011
Total15318171
Accuracy
100.0%
Counts
171 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
99.2%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
14.5%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base))))
52.6%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
99.2%
(/.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)))
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)))
99.3%
(/.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))))
45.0%
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
99.3%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
49.8%
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
45.0%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
81.3%
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
52.8%
#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) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))))
99.5%
#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)))
53.0%
#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) (exp.f64 (log.f64 (log.f64 base)))))
99.5%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base)))
58.5%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))) (log.f64 base)))
99.2%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))
Compiler

Compiled 729 to 626 computations (14.1% saved)

series837.0ms (17.4%)

Memory
42.6MiB live, 984.8MiB allocated; 330ms collecting garbage
Counts
34 → 27
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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))
(*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64))
(log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.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 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))
#s(literal -1/2 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 (/ 1 (/ 1 (atan2 im re))) #s(hole binary64 (atan2 im re)))
#s(approx (/ 1 (atan2 im re)) #s(hole binary64 (/ 1 (atan2 im re))))
#s(approx re #s(hole binary64 re))
#s(approx (* (/ 1 (atan2 im re)) (log base)) #s(hole binary64 (/ (log base) (atan2 im re))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (* (log (* (log base) (atan2 im re))) 1) #s(hole binary64 (log (* (log base) (atan2 im re)))))
#s(approx (/ (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (log base)) #s(hole binary64 (/ 1 (* (log base) (pow (pow (atan2 im re) -1/2) 2)))))
#s(approx (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) #s(hole binary64 (/ 1 (pow (pow (atan2 im re) -1/2) 2))))
#s(approx (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2)) #s(hole binary64 (pow (pow (atan2 im re) -1/2) 2)))
#s(approx (pow (atan2 im re) -1/2) #s(hole binary64 (pow (atan2 im re) -1/2)))
#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 (exp (* (log (log base)) 2)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (log base)))))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#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 (* (/ 1 (atan2 im re)) (log base)) #s(hole binary64 (* -1 (/ (log (/ 1 base)) (atan2 im re)))))
#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 (exp (* (log (log base)) 2)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (* -1 (log (/ 1 base)))))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (* (log (* (log base) (atan2 im re))) 1) #s(hole binary64 (log (* -1 (* (log (/ 1 base)) (atan2 im re))))))
#s(approx (/ (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (log base)) #s(hole binary64 (/ -1 (* (log (/ 1 base)) (pow (pow (atan2 im re) -1/2) 2)))))
Calls

9 calls:

TimeVariablePointExpression
272.0ms
base
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/ 1 (/ 1 (atan2 im re))) 1 (/ 1 (atan2 im re)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (log base)) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (exp (* (log (* (log base) (atan2 im re))) 1)) (* (log base) (log base))) (exp (* (log (* (log base) (atan2 im re))) 1)) (* (log (* (log base) (atan2 im re))) 1) (log (* (log base) (atan2 im re))) (* (log base) (atan2 im re)) (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (log base)) (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2)) (pow (atan2 im re) -1/2) -1/2)
264.0ms
im
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/ 1 (/ 1 (atan2 im re))) 1 (/ 1 (atan2 im re)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (log base)) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (exp (* (log (* (log base) (atan2 im re))) 1)) (* (log base) (log base))) (exp (* (log (* (log base) (atan2 im re))) 1)) (* (log (* (log base) (atan2 im re))) 1) (log (* (log base) (atan2 im re))) (* (log base) (atan2 im re)) (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (log base)) (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2)) (pow (atan2 im re) -1/2) -1/2)
53.0ms
re
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/ 1 (/ 1 (atan2 im re))) 1 (/ 1 (atan2 im re)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (log base)) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (exp (* (log (* (log base) (atan2 im re))) 1)) (* (log base) (log base))) (exp (* (log (* (log base) (atan2 im re))) 1)) (* (log (* (log base) (atan2 im re))) 1) (log (* (log base) (atan2 im re))) (* (log base) (atan2 im re)) (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (log base)) (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2)) (pow (atan2 im re) -1/2) -1/2)
48.0ms
base
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/ 1 (/ 1 (atan2 im re))) 1 (/ 1 (atan2 im re)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (log base)) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (exp (* (log (* (log base) (atan2 im re))) 1)) (* (log base) (log base))) (exp (* (log (* (log base) (atan2 im re))) 1)) (* (log (* (log base) (atan2 im re))) 1) (log (* (log base) (atan2 im re))) (* (log base) (atan2 im re)) (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (log base)) (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2)) (pow (atan2 im re) -1/2) -1/2)
47.0ms
re
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (/ 1 (atan2 im re))) (log base)) (/ 1 (/ 1 (atan2 im re))) 1 (/ 1 (atan2 im re)) (atan2 im re) im re (log base) base (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ 1 (* (/ 1 (atan2 im re)) (log base))) (* (/ 1 (atan2 im re)) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (log base)) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (exp (* (log (* (log base) (atan2 im re))) 1)) (* (log base) (log base))) (exp (* (log (* (log base) (atan2 im re))) 1)) (* (log (* (log base) (atan2 im re))) 1) (log (* (log base) (atan2 im re))) (* (log base) (atan2 im re)) (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (log base)) (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2)) (pow (atan2 im re) -1/2) -1/2)

rewrite41.0ms (0.9%)

Memory
-2.6MiB live, 42.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0111782
0164508
0409508
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
61 → 183
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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64)))
(*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64))
(log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.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 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))
#s(literal -1/2 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 (/ 1 (/ 1 (atan2 im re))) #s(hole binary64 (atan2 im re)))
#s(approx (/ 1 (atan2 im re)) #s(hole binary64 (/ 1 (atan2 im re))))
#s(approx re #s(hole binary64 re))
#s(approx (* (/ 1 (atan2 im re)) (log base)) #s(hole binary64 (/ (log base) (atan2 im re))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (* (log (* (log base) (atan2 im re))) 1) #s(hole binary64 (log (* (log base) (atan2 im re)))))
#s(approx (/ (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (log base)) #s(hole binary64 (/ 1 (* (log base) (pow (pow (atan2 im re) -1/2) 2)))))
#s(approx (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) #s(hole binary64 (/ 1 (pow (pow (atan2 im re) -1/2) 2))))
#s(approx (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2)) #s(hole binary64 (pow (pow (atan2 im re) -1/2) 2)))
#s(approx (pow (atan2 im re) -1/2) #s(hole binary64 (pow (atan2 im re) -1/2)))
#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 (exp (* (log (log base)) 2)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (log base)))))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#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 (* (/ 1 (atan2 im re)) (log base)) #s(hole binary64 (* -1 (/ (log (/ 1 base)) (atan2 im re)))))
#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 (exp (* (log (log base)) 2)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (* -1 (log (/ 1 base)))))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (* (log (* (log base) (atan2 im re))) 1) #s(hole binary64 (log (* -1 (* (log (/ 1 base)) (atan2 im re))))))
#s(approx (/ (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (log base)) #s(hole binary64 (/ -1 (* (log (/ 1 base)) (pow (pow (atan2 im re) -1/2) 2)))))
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)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (atan2.f64 im re) (atan2.f64 im re)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (atan2.f64 im re) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
im
re
(log.f64 base)
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) (log.f64 base)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #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(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)))) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)) (fma.f64 #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))))))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 base (atan2.f64 im re)))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (exp.f64 (log.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))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.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))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(+.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 (pow.f64 base (log.f64 base)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (log.f64 (log.f64 base)))
(+.f64 (log.f64 (log.f64 base)) (log.f64 (log.f64 base)))
(log.f64 (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))
(exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 (cosh.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) (sinh.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))))
(*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re)))
(log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 (log.f64 (log.f64 base)) (log.f64 (atan2.f64 im re)))
(log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)))
(*.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.f64 (log.f64 base))))
(*.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (exp.f64 (log.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))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (log.f64 base)) (fabs.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 (log.f64 base))) (exp.f64 (log.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))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(+.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 (pow.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) (log.f64 base)))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2.f64 im re)
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (atan2.f64 im re) (atan2.f64 im re)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (atan2.f64 im re) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/4 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal -1/2 binary64)))
#s(literal -1/2 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 (/ 1 (/ 1 (atan2 im re))) (atan2.f64 im re))
#s(approx (/ 1 (atan2 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
#s(approx re re)
#s(approx (* (/ 1 (atan2 im re)) (log base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))
#s(approx (* (log (* (log base) (atan2 im re))) 1) (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
#s(approx (/ (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (log base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ 1 (/ 1 (atan2 im re))) (atan2.f64 im re))
#s(approx (/ 1 (atan2 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
#s(approx (pow (atan2 im re) -1/2) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
#s(approx im im)
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (exp (* (log (log base)) 2)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (* (log (log base)) 2) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
#s(approx (log (log base)) (log.f64 (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 (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (* (/ 1 (atan2 im re)) (log base)) (/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#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 (exp (* (log (log base)) 2)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (* (log (log base)) 2) (*.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64)))
#s(approx (log (log base)) (log.f64 (neg.f64 (neg.f64 (log.f64 base)))))
#s(approx (* (log (* (log base) (atan2 im re))) 1) (log.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))))
#s(approx (/ (/ 1 (* (pow (atan2 im re) -1/2) (pow (atan2 im re) -1/2))) (log base)) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))

eval10.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 109 to 459 computations (58.6% saved)

prune54.0ms (1.1%)

Memory
-19.6MiB live, 28.0MiB allocated; 12ms collecting garbage
Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New1106116
Fresh01010
Picked325
Done033
Total11321134
Accuracy
100.0%
Counts
134 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
99.2%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
14.5%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base))))
99.2%
(/.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)))
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)))
99.3%
(/.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))))
45.0%
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
99.3%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
49.8%
(/.f64 (exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (log.f64 base) (log.f64 base)))
45.0%
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
81.3%
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
58.3%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (log.f64 base)))
52.8%
#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) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))))
99.5%
#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)))
53.0%
#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) (exp.f64 (log.f64 (log.f64 base)))))
99.5%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
58.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))))
99.2%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))
79.0%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))))
99.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (atan2 im re)) (log base)) (/.f64 (log.f64 base) (atan2.f64 im re)))))
Compiler

Compiled 950 to 622 computations (34.5% saved)

regimes87.0ms (1.8%)

Memory
13.6MiB live, 101.2MiB allocated; 9ms collecting garbage
Accuracy

Total -63.7b remaining (-21457.9%)

Threshold costs -63.7b (-21457.9%)

Counts
43 → 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 #s(literal 1 binary64) #s(approx (* (/ 1 (atan2 im re)) (log base)) (/.f64 (log.f64 base) (atan2.f64 im re)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (exp.f64 (log.f64 (log.f64 base)))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (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 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1 binary64))) (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) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 #s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 base) (atan2.f64 im re))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (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) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (log.f64 base)))))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (log.f64 (pow.f64 base (log.f64 base))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base))))
(/.f64 (exp.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) (*.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 #s(literal 1 binary64) (*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base))))
(/.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.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)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
(/.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 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(literal 0 binary64))) (/.f64 (-.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 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))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))) (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 (-.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 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 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 (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.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)))))))
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:

39.0ms
im
13.0ms
(/.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))))
11.0ms
(log.f64 base)
10.0ms
base
10.0ms
re
Results
AccuracySegmentsBranch
99.5%1(log.f64 base)
99.5%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))))
99.5%1re
99.5%1im
99.5%1base
Compiler

Compiled 27 to 31 computations (-14.8% saved)

derivations35.0ms (0.7%)

Memory
-17.0MiB live, 26.2MiB allocated; 8ms collecting garbage
Stop Event
fuel
Compiler

Compiled 24 to 22 computations (8.3% saved)

preprocess10.0ms (0.2%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 46 to 40 computations (13% saved)

end0.0ms (0%)

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

Profiling

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