math.log/2 on complex, imaginary part

Time bar (total: 3.8s)

start0.0ms (0%)

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

analyze317.0ms (8.3%)

Memory
-11.6MiB live, 229.5MiB allocated; 126ms collecting garbage
Algorithm
1×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)

sample1.5s (39%)

Memory
39.7MiB live, 1 843.3MiB allocated; 475ms collecting garbage
Samples
1.2s8 255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 712.0ms
ival-log: 192.0ms (26.9% of total)
ival-hypot: 187.0ms (26.2% of total)
ival-mult!: 133.0ms (18.7% of total)
ival-atan2: 89.0ms (12.5% of total)
ival-div!: 55.0ms (7.7% of total)
ival-sub!: 37.0ms (5.2% of total)
ival-add!: 18.0ms (2.5% of total)
adjust: 2.0ms (0.3% of total)
Bogosity

preprocess55.0ms (1.4%)

Memory
-12.6MiB live, 33.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079153
1229133
296486
3609186
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.5%
(/.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)

series143.0ms (3.7%)

Memory
16.7MiB live, 302.5MiB allocated; 66ms collecting garbage
Counts
18 → 76
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) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))))
#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))
#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)))
#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 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* 1/2 (/ (pow im 2) re)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))))
#s(approx (* im im) #s(hole binary64 (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 (* 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 (* (log base) (log base)) #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 (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 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 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
Calls

9 calls:

TimeVariablePointExpression
33.0ms
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))
27.0ms
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))
20.0ms
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))
16.0ms
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))
10.0ms
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)) (* (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))

rewrite192.0ms (5%)

Memory
33.6MiB live, 261.7MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111967
03331741
115821725
082351420
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
94 → 331
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) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))))
#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))
#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)))
#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 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* 1/2 (/ (pow im 2) re)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))))
#s(approx (* im im) #s(hole binary64 (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 (* 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 (* (log base) (log base)) #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 (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 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 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (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 (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 (-.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 (-.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 (sqrt.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1 binary64))
(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 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (fabs.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 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.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 (neg.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.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 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) re)
(hypot.f64 (fabs.f64 (fabs.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (fabs.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 (fabs.f64 re)) (neg.f64 im))
(hypot.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 im))
(hypot.f64 (fabs.f64 (fabs.f64 re)) im)
(hypot.f64 (fabs.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (fabs.f64 (fabs.f64 im)) re)
(hypot.f64 (neg.f64 im) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 im) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (neg.f64 re) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 re) (fabs.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 (fabs.f64 im) (neg.f64 (neg.f64 re)))
(hypot.f64 (fabs.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 im) (fabs.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 im) (neg.f64 re))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) re)
(hypot.f64 (fabs.f64 re) (neg.f64 (neg.f64 im)))
(hypot.f64 (fabs.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 re) (fabs.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 re (neg.f64 (neg.f64 im)))
(hypot.f64 re (neg.f64 (fabs.f64 im)))
(hypot.f64 re (fabs.f64 (fabs.f64 im)))
(hypot.f64 re (neg.f64 im))
(hypot.f64 re (fabs.f64 im))
(hypot.f64 re im)
(hypot.f64 im (neg.f64 (neg.f64 re)))
(hypot.f64 im (neg.f64 (fabs.f64 re)))
(hypot.f64 im (fabs.f64 (fabs.f64 re)))
(hypot.f64 im (neg.f64 re))
(hypot.f64 im (fabs.f64 re))
(hypot.f64 im re)
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#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 re 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 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 re re) 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 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) re)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) 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 re #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 re re) re))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re))
#s(approx (* im im) (*.f64 im im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) 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 (+ (* (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 (* (atan2 im re) (log base)) (*.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)))
#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))) (/.f64 (atan2.f64 im re) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (log base)) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (log base) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 2 binary64)))

eval27.0ms (0.7%)

Memory
4.9MiB live, 51.0MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 382 to 1 507 computations (55.4% saved)

prune18.0ms (0.5%)

Memory
-26.2MiB live, 27.6MiB allocated; 7ms collecting garbage
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New25814272
Fresh000
Picked101
Done000
Total25914273
Accuracy
99.9%
Counts
273 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.5%
(/.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))))
▶80.1%
(/.f64 (/.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 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
76.0%
(/.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)))))))
48.5%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.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 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
48.4%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (-.f64 (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))))
48.4%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 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))))))
23.6%
(/.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 (cosh.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))))
▶24.0%
(/.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))))
23.6%
(/.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))))
▶23.8%
(/.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))))
99.3%
(/.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)))
52.2%
(/.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 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)))
Compiler

Compiled 722 to 528 computations (26.9% saved)

series324.0ms (8.4%)

Memory
33.4MiB live, 400.6MiB allocated; 156ms collecting garbage
Counts
42 → 142
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 (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 (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 2 binary64)) #s(literal 0 binary64)) (fma.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 2 binary64)) #s(literal 0 binary64))
(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 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) #s(literal 0 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))))
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)) #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) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) #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) (log base)) #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 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 im))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* 1/2 (/ (pow re 2) im)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))))
#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)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (- (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (log base) 2) (pow (atan2 im re) 2))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log base) 2) (pow (atan2 im re) 2))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (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))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 re))
#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)))
#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 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* 1/2 (/ (pow im 2) re)))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))))
#s(approx (* im im) #s(hole binary64 (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 (* 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 (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 (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (log base)))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (log base))))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) #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)) #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) (* (log base) (log base))) #s(hole binary64 (* -1 (/ (atan2 im re) (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) (atan2 im re)) #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 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) #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 (* (atan2 im re) (log base)) #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)))
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#s(approx (neg (log base)) #s(hole binary64 (log (/ 1 base))))
#s(approx (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (- (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
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#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (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))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) #s(hole binary64 (pow (log (/ 1 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 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
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#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
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#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
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#s(approx (exp (* (log (neg (log base))) 2)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
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#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (+ (log -1) (* -1 (log (/ -1 base))))))))
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#s(approx (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (- (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (pow (atan2 im re) 2))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (pow (atan2 im re) 2))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (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))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
Calls

9 calls:

TimeVariablePointExpression
133.0ms
base
@-inf
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76.0ms
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 (/ (/ (- (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)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (- (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) (+ (* (log base) (atan2 im re)) 0) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (/ (- (* (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))))
59.0ms
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 (/ (/ (- (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)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (- (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) (+ (* (log base) (atan2 im re)) 0) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (/ (- (* (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))))
10.0ms
re
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (- (* (log base) (atan2 im re)) 0) (* (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 (/ (/ (- (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)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (- (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) (+ (* (log base) (atan2 im re)) 0) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (/ (- (* (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))))
9.0ms
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 (/ (/ (- (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)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (- (pow (* (log base) (atan2 im re)) 2) 0) (pow (* (log base) (atan2 im re)) 2) (+ (* (log base) (atan2 im re)) 0) (+ (* (log base) (log base)) (* 0 0)) (* 0 0) (/ (- (* (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))))

rewrite256.0ms (6.7%)

Memory
-17.4MiB live, 214.9MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04343674
05152839
119382822
092542517
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
184 → 1 270
Calls
Call 1
Inputs
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im
re
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#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 (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 (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (log base)))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (log base))))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) #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)) #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) (* (log base) (log base))) #s(hole binary64 (* -1 (/ (atan2 im re) (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) (atan2 im re)) #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 (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) #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 (* (atan2 im re) (log base)) #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)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (- (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (log (/ 1 base)) 2) (pow (atan2 im re) 2))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (- (* (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))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) #s(hole binary64 (pow (log (/ 1 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 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (log base)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (exp (* (log (neg (log base))) 2)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log (neg (log base))) 2) #s(hole binary64 (* 2 (log (neg (+ (log -1) (* -1 (log (/ -1 base)))))))))
#s(approx (log (neg (log base))) #s(hole binary64 (log (neg (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (pow (* (log base) (atan2 im re)) 2) 0) (+ (* (log base) (atan2 im re)) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (- (pow (* (log base) (atan2 im re)) 2) 0) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (pow (atan2 im re) 2))))
#s(approx (pow (* (log base) (atan2 im re)) 2) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (pow (atan2 im re) 2))))
#s(approx (+ (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (- (* (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))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (atan2 im re) (exp (* (log (log base)) 1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (atan2 im re) (exp (* (log (log base)) 1))) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (exp (* (log (log base)) 1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (* (log (log base)) 1) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
Outputs
#s(approx (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (/.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 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(/.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 (neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (-.f64 (*.f64 (/.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))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 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))) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.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 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (*.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) (fabs.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (fabs.f64 (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) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (fabs.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (fabs.f64 (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) (neg.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (neg.f64 (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) (neg.f64 (log.f64 base))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (neg.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (/.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.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))))
(fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.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))))
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#s(approx (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (- (* (log base) (atan2 im re)) 0) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (- (* (log base) (atan2 im re)) 0) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (exp (* (log (log base)) 1)) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))))
#s(approx (* (log (log base)) 1) (log.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (* (log (log base)) 1) (log.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64)))))
#s(approx (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (+ (* (exp (* (log (log base)) 1)) (exp (* (log (log base)) 1))) (* 0 0)) (pow.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) base)) #s(literal -1 binary64))) #s(literal 2 binary64)))

eval73.0ms (1.9%)

Memory
20.5MiB live, 155.6MiB allocated; 31ms collecting garbage
Compiler

Compiled 9 837 to 2 905 computations (70.5% saved)

prune34.0ms (0.9%)

Memory
24.2MiB live, 65.0MiB allocated; 14ms collecting garbage
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New71418732
Fresh819
Picked415
Done000
Total72620746
Accuracy
100.0%
Counts
746 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.0%
(/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
80.1%
(/.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
41.1%
(/.f64 (/.f64 (exp.f64 (*.f64 (log.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 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶99.2%
(/.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)))
53.0%
(/.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))) (*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
▶99.3%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.2%
(/.f64 (-.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))))
99.3%
(/.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))))
44.5%
(/.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)))
▶52.2%
(/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
56.5%
(/.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)))
80.3%
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
79.8%
(*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
44.7%
#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)))
▶44.9%
#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)))))
▶99.4%
#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 770 to 620 computations (19.5% saved)

series350.0ms (9.1%)

Memory
-11.9MiB live, 369.8MiB allocated; 131ms collecting garbage
Counts
30 → 61
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 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(pow.f64 base (atan2.f64 im re))
(*.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 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (/ 1 (pow (atan2 im re) -1)) (log base)) #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 (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (/ (atan2 im re) (exp (log (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (log (pow base (atan2 im re))) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (log (pow base (atan2 im re))) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* (log base) (atan2 im re)))))
#s(approx (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (pow (* (log base) (atan2 im re)) -1) #s(hole binary64 (/ 1 (* (log base) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx im #s(hole binary64 im))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (exp (log (log base))) #s(hole binary64 (log base)))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (* (log base) (log base)) 0) #s(hole binary64 0))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (/ 1 (pow (atan2 im re) -1)) (log base)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (atan2 im re) (exp (log (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (exp (log (log base))) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (/ (log (pow base (atan2 im re))) (* (log base) (log base))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log (pow base (atan2 im re))) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* -1 (* (log (/ 1 base)) (atan2 im re))))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (pow (* (log base) (atan2 im re)) -1) #s(hole binary64 (/ -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (/ 1 (pow (atan2 im re) -1)) (log base)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (atan2 im re) (exp (log (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (exp (log (log base))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (log (pow base (atan2 im re))) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log (pow base (atan2 im re))) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (pow (* (log base) (atan2 im re)) -1) #s(hole binary64 (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
Calls

9 calls:

TimeVariablePointExpression
86.0ms
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)) (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (log (pow base (atan2 im re))) (pow base (atan2 im re)) (* (log base) (log base)) (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) (/ 1 (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) 0 (pow (log base) 4) 4)
67.0ms
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)) (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (log (pow base (atan2 im re))) (pow base (atan2 im re)) (* (log base) (log base)) (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) (/ 1 (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) 0 (pow (log base) 4) 4)
38.0ms
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)) (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (log (pow base (atan2 im re))) (pow base (atan2 im re)) (* (log base) (log base)) (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) (/ 1 (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) 0 (pow (log base) 4) 4)
28.0ms
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)) (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (log (pow base (atan2 im re))) (pow base (atan2 im re)) (* (log base) (log base)) (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) (/ 1 (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) 0 (pow (log base) 4) 4)
28.0ms
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)) (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (log (pow base (atan2 im re))) (pow base (atan2 im re)) (* (log base) (log base)) (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) (/ 1 (pow (* (log base) (atan2 im re)) -1)) (pow (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) 0 (pow (log base) 4) 4)

rewrite86.0ms (2.2%)

Memory
-6.1MiB live, 38.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01611396
02101144
05201144
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
91 → 161
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 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(pow.f64 base (atan2.f64 im re))
(*.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 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 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 (pow (atan2 im re) -1)) (log base)) #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 (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (/ (atan2 im re) (exp (log (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (log (pow base (atan2 im re))) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (log (pow base (atan2 im re))) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* (log base) (atan2 im re)))))
#s(approx (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (pow (* (log base) (atan2 im re)) -1) #s(hole binary64 (/ 1 (* (log base) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx im #s(hole binary64 im))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (exp (log (log base))) #s(hole binary64 (log base)))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (* (log base) (log base)) 0) #s(hole binary64 0))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (/ 1 (pow (atan2 im re) -1)) (log base)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ (atan2 im re) (exp (log (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (exp (log (log base))) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
#s(approx (/ (log (pow base (atan2 im re))) (* (log base) (log base))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log (pow base (atan2 im re))) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* -1 (* (log (/ 1 base)) (atan2 im re))))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (pow (* (log base) (atan2 im re)) -1) #s(hole binary64 (/ -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (/ 1 (pow (atan2 im re) -1)) (log base)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ (atan2 im re) (exp (log (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (exp (log (log base))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (log (pow base (atan2 im re))) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log (pow base (atan2 im re))) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (pow base (atan2 im re)) #s(hole binary64 (exp (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (pow (* (log base) (atan2 im re)) -1) #s(hole binary64 (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
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 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (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 base (/.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 base (/.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(pow.f64 (exp.f64 (log.f64 base)) (atan2.f64 im re))
(pow.f64 base (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (cosh.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (sinh.f64 (*.f64 (log.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 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64))
(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)) #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 (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 (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 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))) (log.f64 base)) (log.f64 base))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.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)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (*.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)))) #s(literal 0 binary64)) (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)) #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)) #s(literal 0 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))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))))
(fma.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (*.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)))
(fma.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)))
(-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(+.f64 (*.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 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64)))
#s(literal 4 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 (pow (atan2 im re) -1)) (log base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ 1 (pow (atan2 im re) -1)) (atan2.f64 im re))
#s(approx (pow (atan2 im re) -1) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx (/ (atan2 im re) (exp (log (log base)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (log base) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (pow base (atan2 im re)) (pow.f64 base (atan2.f64 im re)))
#s(approx (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (pow (* (log base) (atan2 im re)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
#s(approx (* (log base) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx im im)
#s(approx (exp (log (log base))) (log.f64 base))
#s(approx base base)
#s(approx (exp (log (log base))) (log.f64 base))
#s(approx (log (log base)) (log.f64 (log.f64 base)))
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ (/ 1 (pow (atan2 im re) -1)) (log base)) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (exp (log (log base))) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (/ (atan2 im re) (exp (log (log base)))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (exp (log (log base))) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (log (log base)) (log.f64 (neg.f64 (neg.f64 (log.f64 base)))))
#s(approx (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (* (log base) (atan2 im re)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (pow base (atan2 im re)) (exp.f64 (*.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 (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (pow (* (log base) (atan2 im re)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))))
#s(approx (* (log base) (atan2 im re)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (atan2.f64 im re))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (atan2.f64 im re))))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (/ 1 (pow (atan2 im re) -1)) (log base)) (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (exp (log (log base))) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))))
#s(approx (/ (atan2 im re) (exp (log (log base)))) (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (exp (log (log base))) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))))
#s(approx (log (log base)) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (log (pow base (atan2 im re))) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (* (log base) (atan2 im re)) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (pow base (atan2 im re)) (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re))))
#s(approx (* (log base) (log base)) (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (/ (/ 1 (pow (* (log base) (atan2 im re)) -1)) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ 1 (pow (* (log base) (atan2 im re)) -1)) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (pow (* (log base) (atan2 im re)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re))))
#s(approx (* (log base) (atan2 im re)) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (pow (log base) 4) (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))

eval22.0ms (0.6%)

Memory
-9.5MiB live, 33.6MiB allocated; 9ms collecting garbage
Compiler

Compiled 2 312 to 651 computations (71.8% saved)

prune17.0ms (0.4%)

Memory
36.2MiB live, 36.2MiB allocated; 0ms collecting garbage
Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New19111202
Fresh31114
Picked325
Done011
Total19725222
Accuracy
100.0%
Counts
222 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.1%
(/.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
41.1%
(/.f64 (/.f64 (exp.f64 (*.f64 (log.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 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
98.7%
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 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)) #s(literal 0 binary64))))
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
99.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (log.f64 base) (log.f64 base)))
57.6%
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)))) (*.f64 (log.f64 base) (log.f64 base)))
53.0%
(/.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))))
98.8%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.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)) #s(literal 0 binary64)))) (*.f64 (/.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)) #s(literal 0 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.2%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
44.1%
(/.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))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
▶99.3%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.3%
(/.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))))
▶44.5%
(/.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)))
✓52.2%
(/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
56.5%
(/.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)))
99.3%
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))))
▶80.3%
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
79.8%
(*.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
44.7%
#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)))
✓44.9%
#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)))))
▶99.3%
#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 950 to 757 computations (20.3% saved)

series172.0ms (4.5%)

Memory
-10.0MiB live, 231.7MiB allocated; 55ms collecting garbage
Counts
34 → 68
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) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
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) (*.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 #s(literal 1 binary64) (atan2.f64 im re))
(/.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 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(*.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 (log.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
#s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.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 (/ (atan2 im re) (/ 1 (pow (log base) -1))) #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 (/ 1 (* (/ 1 (atan2 im re)) (log base))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (/ 1 (atan2 im re)) (log base)) #s(hole binary64 (/ (log base) (atan2 im re))))
#s(approx (/ 1 (atan2 im re)) #s(hole binary64 (/ 1 (atan2 im re))))
#s(approx (/ (- (* (log base) (atan2 im re)) 0) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (pow (atan2 im re) 2) #s(hole binary64 (pow (atan2 im re) 2)))
#s(approx im #s(hole binary64 im))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (log base)))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (log base))))
#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 (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (* (log base) (log base)) 0) #s(hole binary64 0))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (/ (* (log base) (log base)) (* (log base) (log base))) #s(hole binary64 1))
#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) (/ 1 (pow (log base) -1))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ 1 (* (/ 1 (atan2 im re)) (log base))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (/ 1 (atan2 im re)) (log base)) #s(hole binary64 (* -1 (/ (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (- (* (log base) (atan2 im re)) 0) (exp (* (log (log base)) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (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) (atan2 im re)) #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 base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 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 -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (/ 1 (pow (log base) -1))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ 1 (* (/ 1 (atan2 im re)) (log base))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (/ 1 (atan2 im re)) (log base)) #s(hole binary64 (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ (- (* (log base) (atan2 im re)) 0) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
Calls

9 calls:

TimeVariablePointExpression
63.0ms
base
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (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)) (/ 1 (atan2 im re)) (/ (- (* (log base) (atan2 im re)) 0) (exp (* (log (log base)) 2))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (log base)) (* (* (log base) (log base)) 0) (pow (log base) 4) 4 (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (pow (atan2 im re) 2) (/ (* (log base) (log base)) (* (log base) (log base))))
22.0ms
base
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (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)) (/ 1 (atan2 im re)) (/ (- (* (log base) (atan2 im re)) 0) (exp (* (log (log base)) 2))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (log base)) (* (* (log base) (log base)) 0) (pow (log base) 4) 4 (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (pow (atan2 im re) 2) (/ (* (log base) (log base)) (* (log base) (log base))))
17.0ms
base
@inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (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)) (/ 1 (atan2 im re)) (/ (- (* (log base) (atan2 im re)) 0) (exp (* (log (log base)) 2))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (log base)) (* (* (log base) (log base)) 0) (pow (log base) 4) 4 (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (pow (atan2 im re) 2) (/ (* (log base) (log base)) (* (log base) (log base))))
16.0ms
re
@0
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (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)) (/ 1 (atan2 im re)) (/ (- (* (log base) (atan2 im re)) 0) (exp (* (log (log base)) 2))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (log base)) (* (* (log base) (log base)) 0) (pow (log base) 4) 4 (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (pow (atan2 im re) 2) (/ (* (log base) (log base)) (* (log base) (log base))))
13.0ms
re
@-inf
((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (pow (log base) -1))) (atan2 im re) im re (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) (log base) base -1 (/ (- (* (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)) (/ 1 (atan2 im re)) (/ (- (* (log base) (atan2 im re)) 0) (exp (* (log (log base)) 2))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (exp (* (log (log base)) 2)) (* (log (log base)) 2) (log (log base)) 2 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (log base) (log base)) (* (* (log base) (log base)) 0) (pow (log base) 4) 4 (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (pow (atan2 im re) 2) (/ (* (log base) (log base)) (* (log base) (log base))))

rewrite57.0ms (1.5%)

Memory
13.8MiB live, 60.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01761581
02291260
05691260
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
102 → 205
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) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
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) (*.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 #s(literal 1 binary64) (atan2.f64 im re))
(/.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 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(*.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 (log.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 (log.f64 base))
#s(literal 2 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
#s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (atan2 im re) (/ 1 (pow (log base) -1))) #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 (/ 1 (* (/ 1 (atan2 im re)) (log base))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (* (/ 1 (atan2 im re)) (log base)) #s(hole binary64 (/ (log base) (atan2 im re))))
#s(approx (/ 1 (atan2 im re)) #s(hole binary64 (/ 1 (atan2 im re))))
#s(approx (/ (- (* (log base) (atan2 im re)) 0) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (pow (atan2 im re) 2) #s(hole binary64 (pow (atan2 im re) 2)))
#s(approx im #s(hole binary64 im))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (log base)))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (log base))))
#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 (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (* (* (log base) (log base)) 0) #s(hole binary64 0))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (/ (* (log base) (log base)) (* (log base) (log base))) #s(hole binary64 1))
#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) (/ 1 (pow (log base) -1))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (/ 1 (* (/ 1 (atan2 im re)) (log base))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (* (/ 1 (atan2 im re)) (log base)) #s(hole binary64 (* -1 (/ (log (/ 1 base)) (atan2 im re)))))
#s(approx (/ (- (* (log base) (atan2 im re)) 0) (exp (* (log (log base)) 2))) #s(hole binary64 (* -1 (/ (atan2 im re) (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) (atan2 im re)) #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 base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 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 -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (atan2 im re) (/ 1 (pow (log base) -1))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ 1 (pow (log base) -1)) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (pow (log base) -1) #s(hole binary64 (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (log base) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 base))))))
#s(approx (/ 1 (* (/ 1 (atan2 im re)) (log base))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (* (/ 1 (atan2 im re)) (log base)) #s(hole binary64 (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (/ (- (* (log base) (atan2 im re)) 0) (exp (* (log (log base)) 2))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (* (log base) (atan2 im re)) #s(hole binary64 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))))
#s(approx (exp (* (log (log base)) 2)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (+ (log -1) (* -1 (log (/ -1 base))))))))
#s(approx (log (log base)) #s(hole binary64 (log (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) #s(hole binary64 (* (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (atan2 im re))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)))
#s(approx (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
#s(approx (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) #s(hole binary64 (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(atan2.f64 im re)
im
re
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(literal 1 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64)))
(log.f64 base)
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) (*.f64 (/.f64 #s(literal 1 binary64) (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) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (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 (/.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))))
(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))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(-.f64 (/.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 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) #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)) (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)) (+.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)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re))) #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)) (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)) (+.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(literal 0 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (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)) #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (neg.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.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)))) (*.f64 #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)))) (fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)) #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 #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))))))
(-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (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)) #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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 (* (* (log base) (log base)) 0) #s(literal 0 binary64))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64)))
#s(literal 4 binary64)
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 base)) (atan2.f64 im re))
(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1 binary64)))
(*.f64 (atan2.f64 im re) (atan2.f64 im re))
(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal 2 binary64)))
#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 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (atan2 im re) (/ 1 (pow (log base) -1))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx (/ 1 (* (/ 1 (atan2 im re)) (log base))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (* (/ 1 (atan2 im re)) (log base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ 1 (atan2 im re)) (/.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 (atan2.f64 im re) (log.f64 base)))
#s(approx (- (* (log base) (atan2 im re)) 0) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (- (* (log base) (atan2 im re)) 0) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (pow (atan2 im re) 2) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
#s(approx im im)
#s(approx (/ 1 (pow (log base) -1)) (log.f64 base))
#s(approx (pow (log base) -1) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#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 (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 (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (/ (* (log base) (log base)) (* (log base) (log 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))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ (atan2 im re) (/ 1 (pow (log base) -1))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ 1 (pow (log base) -1)) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (pow (log base) -1) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (/ 1 (* (/ 1 (atan2 im re)) (log base))) (neg.f64 (/.f64 (atan2.f64 im re) (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)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (atan2.f64 im re) (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) (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 (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 base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (atan2.f64 im re))))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (atan2.f64 im re))))
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (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)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (atan2 im re) (/ 1 (pow (log base) -1))) (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ 1 (pow (log base) -1)) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))))
#s(approx (pow (log base) -1) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (log base) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))))
#s(approx (/ 1 (* (/ 1 (atan2 im re)) (log base))) (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (* (/ 1 (atan2 im re)) (log base)) (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.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 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (- (* (log base) (atan2 im re)) 0) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (- (* (log base) (atan2 im re)) 0) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) (atan2.f64 im re)))
#s(approx (* (log base) (log base)) (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (* (log (log base)) 2) (*.f64 (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))) #s(literal 2 binary64)))
#s(approx (log (log base)) (log.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (* (* (log base) (atan2 im re)) (* (log base) (log base))) (*.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (* (log base) (log base)) (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64))) #s(literal 4 binary64)))
#s(approx (* (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/ (* (log base) (log base)) (* (log base) (log base)))) (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))
#s(approx (/ (pow (atan2 im re) 2) (* (log base) (atan2 im re))) (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 #s(literal -1 binary64)))))

eval27.0ms (0.7%)

Memory
-16.4MiB live, 28.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 1 775 to 575 computations (67.6% saved)

prune51.0ms (1.3%)

Memory
-1.5MiB live, 45.1MiB allocated; 3ms collecting garbage
Pruning

23 alts after pruning (18 fresh and 5 done)

PrunedKeptTotal
New14810158
Fresh9817
Picked325
Done033
Total16023183
Accuracy
100.0%
Counts
183 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.1%
(/.f64 (/.f64 (exp.f64 (*.f64 (log.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 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
99.0%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
99.2%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (log.f64 base) (log.f64 base)))
98.8%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.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)) #s(literal 0 binary64)))) (*.f64 (/.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)) #s(literal 0 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓99.3%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.2%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
99.3%
(/.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))))
98.9%
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #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)) #s(literal 0 binary64))))
80.3%
(/.f64 (*.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
99.3%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
44.5%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
✓52.2%
(/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
56.5%
(/.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)))
99.3%
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.4%
#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) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
45.3%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
45.0%
#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) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (log.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)))
✓44.9%
#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)))))
✓99.3%
#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))))
79.9%
#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)))))
99.4%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
Compiler

Compiled 1 100 to 666 computations (39.5% saved)

regimes81.0ms (2.1%)

Memory
8.4MiB live, 144.4MiB allocated; 22ms collecting garbage
Accuracy

Total -63.7b remaining (-19639.8%)

Threshold costs -63.7b (-19639.8%)

Counts
54 → 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 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #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 #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 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #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) (exp.f64 (log.f64 (log.f64 base)))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.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)))
#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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (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)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (log.f64 (pow.f64 base (atan2.f64 im re))) (*.f64 (log.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))) (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 (atan2.f64 im re) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (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 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#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) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.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)) (*.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 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(approx (* (* (log base) (log base)) 0) #s(literal 0 binary64))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (*.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 (-.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))) (*.f64 (log.f64 base) (*.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))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #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)) #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 (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 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.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 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (/.f64 (exp.f64 (*.f64 (log.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 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 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 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 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 (+.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)) #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 (pow.f64 (log.f64 base) #s(literal 6 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 (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) (/.f64 #s(literal 1 binary64) (pow.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 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.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 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.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)) #s(literal 0 binary64)))) (*.f64 (/.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)) #s(literal 0 binary64))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 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:

21.0ms
im
16.0ms
(log.f64 base)
15.0ms
re
13.0ms
base
12.0ms
(/.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))))
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)

derivations27.0ms (0.7%)

Memory
-15.0MiB live, 30.4MiB allocated; 5ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 24 to 22 computations (8.3% saved)

preprocess10.0ms (0.3%)

Memory
15.7MiB live, 15.7MiB 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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