math.log/2 on complex, imaginary part

Time bar (total: 4.7s)

start0.0ms (0%)

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

analyze205.0ms (4.4%)

Memory
9.5MiB live, 334.9MiB allocated; 91ms 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)

sample2.4s (50.7%)

Memory
-78.4MiB live, 2 449.2MiB allocated; 1.8s collecting garbage
Samples
2.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-hypot: 1.1s (62.5% of total)
ival-mult!: 228.0ms (13.2% of total)
ival-log: 182.0ms (10.6% of total)
ival-atan2: 149.0ms (8.6% of total)
ival-div!: 33.0ms (1.9% of total)
ival-add!: 27.0ms (1.6% of total)
ival-sub!: 24.0ms (1.4% of total)
adjust: 2.0ms (0.1% of total)
Bogosity

preprocess378.0ms (8.1%)

Memory
-48.1MiB live, 65.4MiB allocated; 63ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079141
1283121
2121086
3717986
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.7%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Compiler

Compiled 56 to 36 computations (35.7% saved)

series182.0ms (3.9%)

Memory
12.9MiB live, 193.4MiB allocated; 52ms collecting garbage
Counts
18 → 64
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
#s(literal 0 binary64)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow im 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* 1/2 (/ (pow re 2) (pow (sqrt (pow im 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow (sqrt (pow im 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow im 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow im 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* 1/2 (/ (pow re 2) (sqrt (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow (sqrt (pow im 2)) 3))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow (sqrt (pow im 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow im 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx im #s(hole binary64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow re 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* 1/2 (/ (pow im 2) (pow (sqrt (pow re 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow (sqrt (pow re 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow re 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow re 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* 1/2 (/ (pow im 2) (sqrt (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow (sqrt (pow re 2)) 3))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow (sqrt (pow re 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow re 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
Calls

9 calls:

TimeVariablePoint
54.0ms
base
0
30.0ms
im
0
26.0ms
re
0
24.0ms
re
inf
14.0ms
base
-inf

rewrite216.0ms (4.6%)

Memory
56.6MiB live, 323.4MiB allocated; 59ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03051877
03261672
116081582
084461280
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
82 → 364
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
(log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
#s(literal 0 binary64)
(+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow im 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* 1/2 (/ (pow re 2) (pow (sqrt (pow im 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow (sqrt (pow im 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow im 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow im 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* 1/2 (/ (pow re 2) (sqrt (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow (sqrt (pow im 2)) 3))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow (sqrt (pow im 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow im 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx im #s(hole binary64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow re 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* 1/2 (/ (pow im 2) (pow (sqrt (pow re 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow (sqrt (pow re 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow re 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow re 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* 1/2 (/ (pow im 2) (sqrt (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow (sqrt (pow re 2)) 3))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow (sqrt (pow re 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow re 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log base) 2)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(-.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(+.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))
(fma.f64 (log.f64 base) (atan2.f64 im re) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (log.f64 base) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(log.f64 base)
base
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im)))) (sqrt.f64 (-.f64 (*.f64 re re) (*.f64 im im))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re)))) (sqrt.f64 (-.f64 (*.f64 im im) (*.f64 re re))))
(/.f64 (hypot.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 im im) im)) (sqrt.f64 (fma.f64 (*.f64 re re) (*.f64 re re) (-.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 im im))))))
(/.f64 (hypot.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 re re) re)) (sqrt.f64 (fma.f64 (*.f64 im im) (*.f64 im im) (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 re re))))))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 im)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) re)
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 re)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) im)
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (neg.f64 (neg.f64 re)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 re)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (neg.f64 re))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) (fabs.f64 re))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 im))) re)
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (neg.f64 (neg.f64 im)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (neg.f64 (fabs.f64 im)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (neg.f64 im))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) (fabs.f64 im))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 re))) im)
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 (neg.f64 re)))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 re))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (fabs.f64 re))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) re)
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 (neg.f64 im)))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 im))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (fabs.f64 im))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) im)
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (fabs.f64 im)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) re)
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (fabs.f64 re)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) im)
(hypot.f64 (neg.f64 re) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 re) (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 re) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 re) (neg.f64 im))
(hypot.f64 (neg.f64 re) (fabs.f64 im))
(hypot.f64 (neg.f64 re) im)
(hypot.f64 (neg.f64 im) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 im) (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 im) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) (fabs.f64 re))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (fabs.f64 re) (neg.f64 (neg.f64 im)))
(hypot.f64 (fabs.f64 re) (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 (fabs.f64 re) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 re) (neg.f64 im))
(hypot.f64 (fabs.f64 re) (fabs.f64 im))
(hypot.f64 (fabs.f64 re) im)
(hypot.f64 (fabs.f64 im) (neg.f64 (neg.f64 re)))
(hypot.f64 (fabs.f64 im) (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 (fabs.f64 im) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 im) (neg.f64 (fabs.f64 re)))
(hypot.f64 (fabs.f64 im) (neg.f64 re))
(hypot.f64 (fabs.f64 im) (fabs.f64 re))
(hypot.f64 (fabs.f64 im) re)
(hypot.f64 re (neg.f64 (neg.f64 im)))
(hypot.f64 re (exp.f64 (log.f64 (fabs.f64 im))))
(hypot.f64 re (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 re (neg.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 (exp.f64 (log.f64 (fabs.f64 re))))
(hypot.f64 im (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 im (neg.f64 (fabs.f64 re)))
(hypot.f64 im (neg.f64 re))
(hypot.f64 im (fabs.f64 re))
(hypot.f64 im re)
(exp.f64 (*.f64 (log.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) (pow.f64 (*.f64 (neg.f64 im) im) #s(literal 3 binary64))) (fma.f64 (*.f64 re re) (*.f64 re re) (fma.f64 (*.f64 (neg.f64 im) im) (*.f64 (neg.f64 im) im) (*.f64 (*.f64 re re) (*.f64 (neg.f64 im) im)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im)))) (neg.f64 (-.f64 (*.f64 re re) (*.f64 im im))))
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#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (*.f64 re re) (fma.f64 (/.f64 (*.f64 re re) (*.f64 (fabs.f64 im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 im))) (fabs.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 re re)) (pow.f64 (fabs.f64 im) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 im) (*.f64 im im)))) (*.f64 re re) (/.f64 #s(literal 1/2 binary64) (fabs.f64 im))) (*.f64 re re) (fabs.f64 im)))
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
#s(approx (+ (* re re) (* im im)) (fma.f64 re re (*.f64 im im)))
#s(approx (* re re) (*.f64 re re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 re))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) (log.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) (log.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) #s(literal 1 binary64)) re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) #s(literal 1 binary64)) re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) #s(literal 1 binary64)) re))
#s(approx (+ (* re re) (* im im)) (*.f64 (fma.f64 (/.f64 im re) (/.f64 im re) #s(literal 1 binary64)) (*.f64 re re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 re))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 re)))) (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 re)))) (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))))))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 re) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 im im) (*.f64 im im)) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im im)) (*.f64 re re)))) #s(literal 1 binary64))))
#s(approx im im)
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (fabs.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 im im) (*.f64 re re)) #s(literal 1/2 binary64) (log.f64 (fabs.f64 re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 re re) (*.f64 re re))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (log.f64 (fabs.f64 re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 im im) (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 re re) (*.f64 re re)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (*.f64 re re))) (*.f64 im im) (log.f64 (fabs.f64 re))))
#s(approx (sqrt (+ (* re re) (* im im))) (fabs.f64 re))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 im im) (fabs.f64 re)) #s(literal 1/2 binary64) (fabs.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (*.f64 im im) (fma.f64 (/.f64 (*.f64 im im) (*.f64 (fabs.f64 re) (*.f64 re re))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (fabs.f64 re))) (fabs.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 im im)) (pow.f64 (fabs.f64 re) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 re) (*.f64 re re)))) (*.f64 im im) (/.f64 #s(literal 1/2 binary64) (fabs.f64 re))) (*.f64 im im) (fabs.f64 re)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) (log.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) #s(literal 1 binary64)) im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) #s(literal 1 binary64)) im))
#s(approx (+ (* re re) (* im im)) (*.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (*.f64 im im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 im))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 re re) re) (*.f64 (*.f64 re re) re)) #s(literal 120 binary64)) (*.f64 (*.f64 (*.f64 im im) im) (*.f64 (*.f64 im im) im))) #s(literal 1/720 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))))))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) #s(literal 1 binary64))))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base)))

eval40.0ms (0.9%)

Memory
-3.6MiB live, 99.6MiB allocated; 14ms collecting garbage
Compiler

Compiled 10 743 to 1 768 computations (83.5% saved)

prune12.0ms (0.3%)

Memory
-17.0MiB live, 29.2MiB allocated; 4ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3057312
Fresh000
Picked101
Done000
Total3067313
Accuracy
99.9%
Counts
313 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.3%
(/.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))))
86.2%
(/.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))))
▶28.6%
(/.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))) (pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)))
▶54.7%
(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (/.f64 (-.f64 (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))))
▶99.2%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶99.3%
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base)))
▶99.6%
#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 400 to 244 computations (39% saved)

series190.0ms (4.1%)

Memory
-12.6MiB live, 383.3MiB allocated; 88ms collecting garbage
Counts
35 → 70
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 (*.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))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#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))) (pow.f64 (exp.f64 (log.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)
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
#s(literal 2 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 (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 (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))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow im 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* 1/2 (/ (pow re 2) (pow (sqrt (pow im 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow (sqrt (pow im 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow im 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow im 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* 1/2 (/ (pow re 2) (sqrt (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow (sqrt (pow im 2)) 3))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow (sqrt (pow im 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow im 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx im #s(hole binary64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow re 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* 1/2 (/ (pow im 2) (pow (sqrt (pow re 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow (sqrt (pow re 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow re 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow re 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* 1/2 (/ (pow im 2) (sqrt (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow (sqrt (pow re 2)) 3))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow (sqrt (pow re 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow re 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (- (* (* (log 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 (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (log (log base)) #s(hole binary64 (log (* -1 (log (/ 1 base))))))
Calls

9 calls:

TimeVariablePoint
46.0ms
re
-inf
45.0ms
base
inf
26.0ms
base
-inf
23.0ms
base
0
12.0ms
im
inf

rewrite218.0ms (4.7%)

Memory
46.9MiB live, 403.1MiB allocated; 64ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03392154
03941856
118171765
090421463
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
105 → 853
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 (*.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))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#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))) (pow.f64 (exp.f64 (log.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)
(pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64))
(exp.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
#s(literal 2 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 (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 (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))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (/ (atan2 im re) (log base))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) #s(hole binary64 (* (pow (log base) 3) (atan2 im re))))
#s(approx (* (log (sqrt (+ (* re re) (* im im)))) 0) #s(hole binary64 0))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow im 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* 1/2 (/ (pow re 2) (pow (sqrt (pow im 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow (sqrt (pow im 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow (sqrt (pow im 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow im 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow im 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow im 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* 1/2 (/ (pow re 2) (sqrt (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow (sqrt (pow im 2)) 3))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow (sqrt (pow im 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow im 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 re)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 re)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))))
#s(approx im #s(hole binary64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (log (sqrt (pow re 2)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* 1/2 (/ (pow im 2) (pow (sqrt (pow re 2)) 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow (sqrt (pow re 2)) 4))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (log (sqrt (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow (sqrt (pow re 2)) 6))) (* 1/4 (/ 1 (pow (sqrt (pow re 2)) 4))))) (* 1/2 (/ 1 (pow (sqrt (pow re 2)) 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (sqrt (pow re 2))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* 1/2 (/ (pow im 2) (sqrt (pow re 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow (sqrt (pow re 2)) 3))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (+ (sqrt (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow (sqrt (pow re 2)) 5))) (* 1/8 (/ 1 (pow (sqrt (pow re 2)) 3))))) (* 1/2 (/ 1 (sqrt (pow re 2)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ 1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (* -1 (log (/ -1 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) #s(hole binary64 (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 im)))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) #s(hole binary64 (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))))
#s(approx (log base) #s(hole binary64 (log base)))
#s(approx base #s(hole binary64 base))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log base) 2)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(hole binary64 (* -1 (/ (atan2 im re) (log (/ 1 base))))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (- (* (log base) (atan2 im re)) 0) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (- (* (* (log 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 (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (log (log base)) #s(hole binary64 (log (* -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 (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)
im
re
(pow.f64 (log.f64 base) #s(literal 1 binary64))
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#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (fma.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 re re) (*.f64 re re)) (*.f64 (*.f64 im im) (*.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 re re) (*.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 re re)) (*.f64 im im)))) #s(literal 1 binary64))))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (log (log base)) (log.f64 (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (- (* (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 base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (neg.f64 (*.f64 (pow.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 (log (log base)) (log.f64 (neg.f64 (neg.f64 (log.f64 base)))))

eval150.0ms (3.2%)

Memory
-53.2MiB live, 168.7MiB allocated; 107ms collecting garbage
Compiler

Compiled 32 561 to 3 143 computations (90.3% saved)

prune23.0ms (0.5%)

Memory
14.9MiB live, 61.7MiB allocated; 2ms collecting garbage
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New86215877
Fresh202
Picked415
Done000
Total86816884
Accuracy
100.0%
Counts
884 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(fma.f64 (/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
82.3%
(/.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 (log.f64 base) (log.f64 base)))
99.4%
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
99.3%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (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 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
99.1%
(/.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))) (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
99.2%
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
47.6%
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (neg.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)))
▶48.9%
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))))
▶99.1%
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
▶99.4%
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
99.2%
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
▶99.5%
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))))
✓99.6%
#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)))
▶50.3%
#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) (exp.f64 (log.f64 (log.f64 base)))))
Compiler

Compiled 833 to 506 computations (39.3% saved)

series116.0ms (2.5%)

Memory
-22.0MiB live, 264.9MiB allocated; 20ms collecting garbage
Counts
35 → 38
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 (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 #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 (- (* (* (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)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(neg.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) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#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)) (pow (log base) 4)) #s(hole binary64 (* (pow (log base) 5) (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)) (neg (pow (log base) 4))) #s(hole binary64 (* -1 (* (pow (log base) 5) (atan2 im re)))))
#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 base #s(hole binary64 base))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (pow (log base) 3) #s(hole binary64 (pow (log base) 3)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (exp (* (* (log (log base)) 2) 3)) #s(hole binary64 (pow (log base) 6)))
#s(approx (* (* (log (log base)) 2) 3) #s(hole binary64 (* 6 (log (log base)))))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (log base)))))
#s(approx (neg (pow (log base) 4)) #s(hole binary64 (* -1 (pow (log base) 4))))
#s(approx (* (pow (log base) 4) (neg (* (log base) (log base)))) #s(hole binary64 (* -1 (pow (log base) 6))))
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (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 (/ 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 (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)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (pow (log base) 3) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 3))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 5) (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) 3)) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (* (* (log (log base)) 2) 3) #s(hole binary64 (* 6 (log (* -1 (log (/ 1 base)))))))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (* -1 (log (/ 1 base)))))))
#s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) #s(hole binary64 (* (pow (log (/ 1 base)) 5) (atan2 im re))))
#s(approx (neg (pow (log base) 4)) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 4))))
#s(approx (* (pow (log base) 4) (neg (* (log base) (log base)))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 6))))
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 2))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
Calls

9 calls:

TimeVariablePoint
21.0ms
base
-inf
20.0ms
base
inf
19.0ms
base
0
11.0ms
re
0
10.0ms
im
0

rewrite49.0ms (1%)

Memory
25.2MiB live, 71.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144887
0199721
0487721
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
73 → 148
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 (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 #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 (- (* (* (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)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(neg.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) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#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)) (pow (log base) 4)) #s(hole binary64 (* (pow (log base) 5) (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)) (neg (pow (log base) 4))) #s(hole binary64 (* -1 (* (pow (log base) 5) (atan2 im re)))))
#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 base #s(hole binary64 base))
#s(approx (log (log base)) #s(hole binary64 (log (log base))))
#s(approx (pow (log base) 3) #s(hole binary64 (pow (log base) 3)))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (exp (* (* (log (log base)) 2) 3)) #s(hole binary64 (pow (log base) 6)))
#s(approx (* (* (log (log base)) 2) 3) #s(hole binary64 (* 6 (log (log base)))))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (log base)))))
#s(approx (neg (pow (log base) 4)) #s(hole binary64 (* -1 (pow (log base) 4))))
#s(approx (* (pow (log base) 4) (neg (* (log base) (log base)))) #s(hole binary64 (* -1 (pow (log base) 6))))
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (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 (/ 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 (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)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 3) (atan2 im re)))))
#s(approx (pow (log base) 3) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 3))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 5) (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) 3)) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (* (* (log (log base)) 2) 3) #s(hole binary64 (* 6 (log (* -1 (log (/ 1 base)))))))
#s(approx (* (log (log base)) 2) #s(hole binary64 (* 2 (log (* -1 (log (/ 1 base)))))))
#s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) #s(hole binary64 (* (pow (log (/ 1 base)) 5) (atan2 im re))))
#s(approx (neg (pow (log base) 4)) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 4))))
#s(approx (* (pow (log base) 4) (neg (* (log base) (log base)))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 6))))
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 2))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
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)))
(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(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)))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(exp.f64 (log.f64 (log.f64 base)))
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(log.f64 base)
(log.f64 (log.f64 base))
(/.f64 (neg.f64 #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)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#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)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base))
(*.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 3 binary64)))
#s(literal 3 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 (log.f64 base) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 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 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 (log.f64 base))))
(+.f64 (cosh.f64 (*.f64 #s(literal 6 binary64) (log.f64 (log.f64 base)))) (sinh.f64 (*.f64 #s(literal 6 binary64) (log.f64 (log.f64 base)))))
(*.f64 #s(literal 6 binary64) (log.f64 (log.f64 base)))
(*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (log.f64 (log.f64 base)) #s(literal 6 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.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)))
#s(literal 2 binary64)
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))) (neg.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (log.f64 base) (neg.f64 (log.f64 base)))
(neg.f64 (*.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 (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 (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 (log.f64 base) #s(literal 6 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 (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 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(log.f64 (pow.f64 base (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (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)) (neg (pow (log base) 4))) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re))))
#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 base base)
#s(approx (log (log base)) (log.f64 (log.f64 base)))
#s(approx (pow (log base) 3) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (exp (* (* (log (log base)) 2) 3)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
#s(approx (* (* (log (log base)) 2) 3) (*.f64 #s(literal 6 binary64) (log.f64 (log.f64 base))))
#s(approx (* (log (log base)) 2) (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
#s(approx (neg (pow (log base) 4)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
#s(approx (* (pow (log base) 4) (neg (* (log base) (log base)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))))
#s(approx (neg (* (log base) (log base))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (* (log base) (log 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))) (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 (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)) (*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64))) (atan2.f64 im re)))
#s(approx (pow (log base) 3) (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64))))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (* (* (log base) (atan2 im re)) (pow (log base) 4)) (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (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 (exp (* (* (log (log base)) 2) 3)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64)))
#s(approx (* (* (log (log base)) 2) 3) (*.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 6 binary64)))
#s(approx (* (log (log base)) 2) (*.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 2 binary64)))
#s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re)))
#s(approx (neg (pow (log base) 4)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
#s(approx (* (pow (log base) 4) (neg (* (log base) (log base)))) (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64))))
#s(approx (neg (* (log base) (log base))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
#s(approx (* (log base) (log base)) (*.f64 (log.f64 base) (log.f64 base)))

eval18.0ms (0.4%)

Memory
-7.0MiB live, 38.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 610 to 580 computations (87.4% saved)

prune16.0ms (0.3%)

Memory
-17.6MiB live, 35.2MiB allocated; 5ms collecting garbage
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New14010150
Fresh6410
Picked325
Done011
Total14917166
Accuracy
100.0%
Counts
166 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (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)))
99.1%
(/.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))) (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
▶99.2%
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
▶99.3%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
98.8%
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)))
99.1%
(/.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
✓99.4%
(/.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(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))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))))
47.1%
(/.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))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))))
99.4%
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶99.1%
(/.f64 #s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
▶99.2%
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
99.2%
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
50.4%
#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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))))
✓99.6%
#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)))
✓50.3%
#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) (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 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
Compiler

Compiled 884 to 548 computations (38% saved)

series156.0ms (3.3%)

Memory
14.1MiB live, 203.2MiB allocated; 42ms collecting garbage
Counts
30 → 32
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 (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 (atan2.f64 im re) #s(literal 1 binary64))
(atan2.f64 im re)
im
re
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
#s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64))
(neg.f64 (log.f64 base))
#s(literal 5 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(neg.f64 (*.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) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 3))))
#s(approx (* (pow (log base) 4) (* (log base) (atan2 im re))) #s(hole binary64 (* (pow (log base) 5) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) #s(hole binary64 (* -1 (* (pow (log base) 5) (atan2 im re)))))
#s(approx im #s(hole binary64 im))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (log base))))
#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 (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log base) 6)))
#s(approx (pow (neg (log base)) 5) #s(hole binary64 (* -1 (pow (log base) 5))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (log base))))
#s(approx (* (pow (log base) 4) (neg (* (log base) (log base)))) #s(hole binary64 (* -1 (pow (log base) 6))))
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (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 (/ 1 (log base)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (* (pow (log base) 4) (* (log base) (atan2 im re))) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 5) (atan2 im re)))))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) #s(hole binary64 (* (pow (log (/ 1 base)) 5) (atan2 im re))))
#s(approx (pow (neg (log base)) 5) #s(hole binary64 (pow (log (/ 1 base)) 5)))
#s(approx (neg (log base)) #s(hole binary64 (log (/ 1 base))))
#s(approx (* (pow (log base) 4) (neg (* (log base) (log base)))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 6))))
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 2))))
Calls

9 calls:

TimeVariablePoint
37.0ms
base
-inf
31.0ms
base
0
27.0ms
im
inf
16.0ms
re
inf
11.0ms
base
inf

rewrite73.0ms (1.6%)

Memory
-14.1MiB live, 76.7MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123704
0175615
0426615
Stop Event
1×iter-limit
1×iter-limit
1×iter-limit
1×unsound
1×iter-limit
Counts
62 → 129
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 (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 (atan2.f64 im re) #s(literal 1 binary64))
(atan2.f64 im re)
im
re
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log.f64 base)
base
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
#s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64))
(neg.f64 (log.f64 base))
#s(literal 5 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(neg.f64 (*.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) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* (log base) (atan2 im re))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (/ (atan2 im re) (pow (log base) 3))))
#s(approx (* (pow (log base) 4) (* (log base) (atan2 im re))) #s(hole binary64 (* (pow (log base) 5) (atan2 im re))))
#s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) #s(hole binary64 (* -1 (* (pow (log base) 5) (atan2 im re)))))
#s(approx im #s(hole binary64 im))
#s(approx (/ 1 (log base)) #s(hole binary64 (/ 1 (log base))))
#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 (pow (log base) 4) #s(hole binary64 (pow (log base) 4)))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log base) 6)))
#s(approx (pow (neg (log base)) 5) #s(hole binary64 (* -1 (pow (log base) 5))))
#s(approx (neg (log base)) #s(hole binary64 (* -1 (log base))))
#s(approx (* (pow (log base) 4) (neg (* (log base) (log base)))) #s(hole binary64 (* -1 (pow (log base) 6))))
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (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 (/ 1 (log base)) #s(hole binary64 (/ -1 (log (/ 1 base)))))
#s(approx (log base) #s(hole binary64 (* -1 (log (/ 1 base)))))
#s(approx (* (atan2 im re) (log base)) #s(hole binary64 (* -1 (* (log (/ 1 base)) (atan2 im re)))))
#s(approx (* (log base) (log base)) #s(hole binary64 (pow (log (/ 1 base)) 2)))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) #s(hole binary64 (* -1 (/ (atan2 im re) (pow (log (/ 1 base)) 3)))))
#s(approx (pow (log base) 4) #s(hole binary64 (pow (log (/ 1 base)) 4)))
#s(approx (* (pow (log base) 4) (* (log base) (atan2 im re))) #s(hole binary64 (* -1 (* (pow (log (/ 1 base)) 5) (atan2 im re)))))
#s(approx (pow (log base) 6) #s(hole binary64 (pow (log (/ 1 base)) 6)))
#s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) #s(hole binary64 (* (pow (log (/ 1 base)) 5) (atan2 im re))))
#s(approx (pow (neg (log base)) 5) #s(hole binary64 (pow (log (/ 1 base)) 5)))
#s(approx (neg (log base)) #s(hole binary64 (log (/ 1 base))))
#s(approx (* (pow (log base) 4) (neg (* (log base) (log base)))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 6))))
#s(approx (neg (* (log base) (log base))) #s(hole binary64 (* -1 (pow (log (/ 1 base)) 2))))
Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)) #s(literal 1 binary64))
(/.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)) (log.f64 base))
(atan2.f64 im re)
(/.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (atan2.f64 im re) #s(literal 1 binary64))
(atan2.f64 im re)
(/.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (atan2.f64 im re) #s(literal 1 binary64))
im
re
#s(literal 1 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))
(log.f64 base)
base
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 (*.f64 (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 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.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)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 1 binary64)) (pow.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 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.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 (*.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (log.f64 base)) (log.f64 base))
(*.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (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))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 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 (*.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 (log.f64 base)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64)))
#s(literal 4 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (atan2.f64 im re))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (atan2.f64 im re))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 6 binary64)))
#s(literal 6 binary64)
(/.f64 (/.f64 #s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (neg.f64 #s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re)))) (neg.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 #s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re))) (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
#s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5/2 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5/2 binary64)))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 5 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal -1 binary64))
(neg.f64 (log.f64 base))
(-.f64 #s(literal 0 binary64) (log.f64 base))
(log.f64 (/.f64 #s(literal 1 binary64) base))
#s(literal 5 binary64)
(*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))
(neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 base))
(*.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (log.f64 base) (neg.f64 (log.f64 base)))
(neg.f64 (*.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 base)))
#s(approx (/ (atan2 im re) 1) (atan2.f64 im re))
#s(approx re re)
#s(approx (* (atan2 im re) (log base)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
#s(approx (* (pow (log base) 4) (* (log base) (atan2 im re))) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re)))
#s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (neg.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re))))
#s(approx im im)
#s(approx (/ 1 (log base)) (/.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 (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (pow (log base) 6) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
#s(approx (pow (neg (log base)) 5) (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))))
#s(approx (neg (log base)) (neg.f64 (log.f64 base)))
#s(approx (* (pow (log base) 4) (neg (* (log base) (log base)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))))
#s(approx (neg (* (log base) (log base))) (neg.f64 (*.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 (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (* (atan2 im re) (log base)) (*.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 base) (atan2 im re)) (pow (log base) 4)) (neg.f64 (/.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)))))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (* (pow (log base) 4) (* (log base) (atan2 im re))) (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re))))
#s(approx (pow (log base) 6) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64)))
#s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re)))
#s(approx (pow (neg (log base)) 5) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)))
#s(approx (neg (log base)) (neg.f64 (log.f64 base)))
#s(approx (* (pow (log base) 4) (neg (* (log base) (log base)))) (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64))))
#s(approx (neg (* (log base) (log base))) (neg.f64 (*.f64 (log.f64 base) (log.f64 base))))

eval21.0ms (0.4%)

Memory
29.0MiB live, 62.8MiB allocated; 7ms collecting garbage
Compiler

Compiled 4 446 to 502 computations (88.7% saved)

prune33.0ms (0.7%)

Memory
-10.5MiB live, 44.3MiB allocated; 12ms collecting garbage
Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New1566162
Fresh549
Picked325
Done033
Total16415179
Accuracy
100.0%
Counts
179 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.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))) (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
✓99.3%
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
99.2%
(/.f64 (*.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
98.8%
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)))
✓99.4%
(/.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)))
47.1%
(/.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))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))))
99.3%
(/.f64 #s(approx (* (pow (log base) 4) (* (log base) (atan2 im re))) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
✓99.1%
(/.f64 #s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
99.3%
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
99.0%
(*.f64 (*.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (log.f64 base)) (log.f64 base))
99.3%
(*.f64 #s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (log.f64 base) (log.f64 base)))
50.4%
#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) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))))))
✓99.6%
#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)))
✓50.3%
#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) (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 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
Compiler

Compiled 1 477 to 449 computations (69.6% saved)

regimes145.0ms (3.1%)

Memory
12.4MiB live, 132.8MiB allocated; 43ms collecting garbage
Accuracy

Total -63.7b remaining (-24353.7%)

Threshold costs -63.7b (-24353.7%)

Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#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 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base)))))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))
#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 (-.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 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(*.f64 #s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 #s(approx (* (pow (log base) 4) (* (log base) (atan2 im re))) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (log.f64 base)) (log.f64 base))
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 base)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(/.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))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))) #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 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 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))) (*.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)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)))
(/.f64 #s(approx (* (* (log base) (atan2 im re)) (neg (pow (log base) 4))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 5 binary64)) (atan2.f64 im re))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (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 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (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 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))) (pow.f64 (exp.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (*.f64 (log.f64 base) (*.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (*.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 (-.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 (*.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (*.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (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 (*.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 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 (*.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.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 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
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:

31.0ms
(/.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))))
25.0ms
im
10.0ms
base
9.0ms
re
9.0ms
(log.f64 base)
Results
AccuracySegmentsBranch
99.6%1(log.f64 base)
99.6%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))))
99.6%1re
99.6%1im
99.6%1base
Compiler

Compiled 33 to 31 computations (6.1% saved)

derivations55.0ms (1.2%)

Memory
-7.3MiB live, 49.5MiB allocated; 38ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 35 to 22 computations (37.1% saved)

preprocess11.0ms (0.2%)

Memory
38.8MiB live, 38.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 63 to 40 computations (36.5% saved)

end0.0ms (0%)

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

Profiling

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