Metrics for math.log/2 on complex, imaginary part

start0.0ms (0.0%)

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

analyze0.0ms (0.0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

random

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample6.1s (64.1%)

Memory

71.5MiB live, 9 360.4MiB allocated; 1.6s collecting garbage

Samples

5.7s	4 109×	5	valid
208.0ms	3 977×	0	valid
12.0ms	178×	1	valid

Bogosity

preprocess29.0ms (0.3%)

Memory

-7.8MiB live, 36.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	141
1	572	119

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.1%	(/.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))))

Status

Accuracy

Program

▶

29.1%

(/.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))))

Compiler

Compiled 56 to 36 computations (35.7% saved)

sample0.0ms (0.0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
0
(* 0 0)

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 4 computations (33.3% saved)

series92.0ms (1.0%)

Memory

17.2MiB live, 246.7MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1432

Stop Event

1×	iter-limit

Counts

18 → 64

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 re re)
(*.f64 im im)
(+.f64 (.f64 re re) (.f64 im im))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
#s(literal 0 binary64)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #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 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs
#s(approx im #s(literal 0 binary64))
#s(approx re re)
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx (* (atan2 im re) (log base)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 im #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) re)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 im #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 im #s(literal 6 binary64)))) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
#s(approx im im)
#s(approx (sqrt (+ (* re re) (* im im))) (sqrt.f64 (pow.f64 re #s(literal 2 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (+.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (log.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64))))))))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (*.f64 #s(literal -1 binary64) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/720 binary64) (/.f64 (fma.f64 #s(literal 30 binary64) (pow.f64 re #s(literal 6 binary64)) (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64)))) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
#s(approx base base)
#s(approx (log base) (log.f64 base))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (atan2 im re) (log base)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))

Calls

9 calls:

Time	Variable	Point
27.0ms	re	0
13.0ms	base	0
10.0ms	base	inf
9.0ms	im	0
7.0ms	base	-inf

rewrite125.0ms (1.3%)

Memory

33.6MiB live, 268.1MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	74
1	138	72
2	905	72
0	4213	72
0	4329	60

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

18 → 593

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
(*.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 re re)
(*.f64 im im)
(+.f64 (.f64 re re) (.f64 im im))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
#s(literal 0 binary64)
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #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 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 (fabs.f64 base)))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.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)) (fma.f64 (.f64 (neg.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))))) #s(literal 0 binary64)) (.f64 (neg.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 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))))) #s(literal 0 binary64))))))
(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
(fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (log.f64 (fabs.f64 base)) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (log.f64 base) #s(literal 0 binary64))
(-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (neg.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))) #s(literal 0 binary64)))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (atan2.f64 im re)))
(+.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(log.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (atan2.f64 im re))))
(log.f64 (*.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 (neg.f64 re))))
(*.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (fabs.f64 re))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 re))
(*.f64 (pow.f64 re #s(literal 1 binary64)) re)
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 re re)
(pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 re) re))
(neg.f64 (*.f64 re (neg.f64 re)))
(sqrt.f64 (.f64 (.f64 (*.f64 re re) re) re))
(fabs.f64 (*.f64 (neg.f64 re) re))
(fabs.f64 (*.f64 re (neg.f64 re)))
(fabs.f64 (neg.f64 (*.f64 re re)))
(fabs.f64 (*.f64 re re))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 (neg.f64 im))))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im))
(*.f64 (pow.f64 im #s(literal 1 binary64)) im)
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 im im)
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (neg.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))) (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(pow.f64 (.f64 (fma.f64 re re (.f64 im im)) (fma.f64 re re (*.f64 im im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) #s(literal 2 binary64))
(pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (pow.f64 (.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 im im) im) im (fma.f64 (.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 re)) (.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 re)) (.f64 (.f64 im im) (*.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 re))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (pow.f64 (.f64 (neg.f64 (neg.f64 re)) (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 im im) im) im (fma.f64 (.f64 (neg.f64 (neg.f64 re)) (neg.f64 re)) (.f64 (neg.f64 (neg.f64 re)) (neg.f64 re)) (.f64 (.f64 im im) (*.f64 (neg.f64 (neg.f64 re)) (neg.f64 re))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (pow.f64 (.f64 (neg.f64 re) re) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 im im) im) im (fma.f64 (.f64 (.f64 re re) re) re (.f64 (.f64 im im) (*.f64 (neg.f64 re) re)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (pow.f64 (.f64 re (neg.f64 re)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 im im) im) im (fma.f64 (.f64 (.f64 re re) re) re (.f64 (.f64 im im) (*.f64 re (neg.f64 re))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im)) (pow.f64 (neg.f64 (.f64 re re)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 im im) im) im (fma.f64 (.f64 (.f64 re re) re) re (.f64 (.f64 im im) (neg.f64 (*.f64 re re))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 (.f64 (.f64 re re) re) re)) (-.f64 (.f64 im im) (.f64 re re)))
(/.f64 (.f64 (fma.f64 re re (.f64 im im)) (.f64 (+.f64 re im) (-.f64 re im))) (.f64 (+.f64 re im) (-.f64 re im)))
(/.f64 (fma.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re))) (fma.f64 (.f64 (.f64 im im) im) im (-.f64 (.f64 (.f64 (.f64 re re) re) re) (.f64 (.f64 (*.f64 re re) im) im))))
(/.f64 (fma.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re))) (fma.f64 (.f64 (.f64 re re) re) re (fma.f64 (.f64 (.f64 im im) im) im (.f64 (.f64 re re) (.f64 (neg.f64 im) im)))))
(/.f64 (fma.f64 (.f64 (.f64 im im) im) (.f64 (.f64 im im) im) (.f64 (.f64 (.f64 re re) re) (.f64 (.f64 re re) re))) (fma.f64 (.f64 (.f64 re re) re) re (.f64 (.f64 im im) (-.f64 (.f64 im im) (*.f64 re re)))))
(neg.f64 (-.f64 (.f64 (neg.f64 im) im) (.f64 re re)))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 re))) (*.f64 im im))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 (neg.f64 re))) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 (neg.f64 re))) (*.f64 im im))
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 im))) (*.f64 re re))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 (neg.f64 im))) (*.f64 re re))
(fma.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (fabs.f64 re) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (fabs.f64 re) (*.f64 im im))
(fma.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 re) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 re) (*.f64 im im))
(fma.f64 (pow.f64 re #s(literal 1 binary64)) re (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (pow.f64 re #s(literal 1 binary64)) re (*.f64 im im))
(fma.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im) (*.f64 re re))
(fma.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im) (*.f64 re re))
(fma.f64 (pow.f64 im #s(literal 1 binary64)) im (*.f64 re re))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 im im))
(fma.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)) (*.f64 im im))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 re re))
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) (*.f64 re re))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 im im))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 re re))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 re re (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 re re (*.f64 im im))
(fma.f64 im im (*.f64 re re))
(-.f64 (.f64 im im) (.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 re)))
(-.f64 (.f64 im im) (.f64 (neg.f64 (neg.f64 re)) (neg.f64 re)))
(-.f64 (.f64 im im) (.f64 (neg.f64 re) re))
(-.f64 (.f64 im im) (.f64 re (neg.f64 re)))
(-.f64 (.f64 im im) (neg.f64 (.f64 re re)))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(sqrt.f64 (.f64 (fma.f64 re re (.f64 im im)) (fma.f64 re re (*.f64 im im))))
(fabs.f64 (-.f64 (.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 re)) (.f64 im im)))
(fabs.f64 (-.f64 (.f64 (neg.f64 (neg.f64 re)) (neg.f64 re)) (.f64 im im)))
(fabs.f64 (-.f64 (.f64 (neg.f64 re) re) (.f64 im im)))
(fabs.f64 (-.f64 (.f64 re (neg.f64 re)) (.f64 im im)))
(fabs.f64 (-.f64 (neg.f64 (.f64 re re)) (.f64 im im)))
(fabs.f64 (neg.f64 (fma.f64 re re (*.f64 im im))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(fabs.f64 (.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))) (neg.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))))
(fabs.f64 (-.f64 (.f64 (neg.f64 im) im) (.f64 re re)))
(fabs.f64 (fma.f64 re re (*.f64 im im)))
(+.f64 (.f64 im im) (.f64 re re))
(+.f64 (.f64 re re) (.f64 (neg.f64 (neg.f64 im)) im))
(+.f64 (.f64 re re) (.f64 im im))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (sqrt.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im)))))
(fabs.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 (neg.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (fabs.f64 im))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 re))) im)
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 (neg.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (fabs.f64 im))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) im)
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 (neg.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (fabs.f64 re))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 im))) re)
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 (neg.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (fabs.f64 re))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) re)
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 (neg.f64 im))))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (fabs.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (fabs.f64 re)) im)
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 (neg.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (fabs.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (fabs.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) im)
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 (neg.f64 re))))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (fabs.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (fabs.f64 im)) re)
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 (fabs.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 (neg.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (fabs.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (fabs.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) re)
(hypot.f64 (fabs.f64 re) (neg.f64 (neg.f64 (fabs.f64 im))))
(hypot.f64 (fabs.f64 re) (neg.f64 (neg.f64 (neg.f64 im))))
(hypot.f64 (fabs.f64 re) (neg.f64 (fabs.f64 im)))
(hypot.f64 (fabs.f64 re) (neg.f64 (neg.f64 im)))
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(fma.f64 (/.f64 (atan2.f64 im re) (+.f64 (neg.f64 (log.f64 base)) #s(literal 0 binary64))) (/.f64 (log.f64 base) (-.f64 (neg.f64 (log.f64 base)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 base) #s(literal 0 binary64))) (/.f64 (log.f64 (fabs.f64 base)) (-.f64 (log.f64 base) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 base) #s(literal 0 binary64))) (/.f64 (log.f64 base) (-.f64 (log.f64 base) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (fabs.f64 (log.f64 base)))) (/.f64 (atan2.f64 im re) (neg.f64 (fabs.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (fabs.f64 (log.f64 base)))) (/.f64 (log.f64 (fabs.f64 base)) (neg.f64 (fabs.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (fabs.f64 (log.f64 base)))) (/.f64 (log.f64 base) (neg.f64 (fabs.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (neg.f64 (log.f64 base)))) (/.f64 (atan2.f64 im re) (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (neg.f64 (log.f64 base)))) (/.f64 (log.f64 (fabs.f64 base)) (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (neg.f64 (log.f64 base)))) (/.f64 (log.f64 base) (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (fabs.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (neg.f64 (*.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (/.f64 #s(literal 1 binary64) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 (fabs.f64 base)) (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (copysign.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 (fabs.f64 base)) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 (fabs.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 (fabs.f64 base)) (log.f64 (fabs.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 (fabs.f64 base)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 (fabs.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(-.f64 (/.f64 (.f64 (.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base))) (.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))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64))
(-.f64 (.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) (/.f64 (.f64 (neg.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 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (fabs.f64 (log.f64 base)))) (copysign.f64 #s(literal 1 binary64) (log.f64 base))))
(+.f64 (*.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(+.f64 #s(literal 0 binary64) (/.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(+.f64 #s(literal 0 binary64) (*.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))

eval50.0ms (0.5%)

Memory: 11.3MiB live, 144.4MiB allocated; 22ms collecting garbage
Compiler: Compiled 18 122 to 2 520 computations (86.1% saved)

prune34.0ms (0.4%)

Memory

-7.4MiB live, 45.4MiB allocated; 38ms collecting garbage

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	630	14	644
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	630	15	645

Accuracy

57.8%

Counts

645 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) #s(literal 0 binary64))) (.f64 (log.f64 base) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
	52.8%	(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	52.6%	(/.f64 (fma.f64 (-.f64 (.f64 (.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	52.6%	(/.f64 (fma.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	52.7%	(/.f64 (fma.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	48.0%	(/.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	47.9%	(/.f64 (-.f64 (pow.f64 (.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))))
✓	29.1%	(/.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))))
	52.8%	(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))
	52.8%	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
	52.8%	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
▶	52.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
▶	52.7%	(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
▶	30.7%	(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
▶	52.9%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 564 to 129 computations (77.1% saved)

sample1.0ms (0.0%)

Memory

1.9MiB live, 2.0MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
0
1

Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 3 computations (25.0% saved)

series448.0ms (4.7%)

Memory

12.3MiB live, 697.6MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	399

Stop Event

1×	iter-limit

Counts

25 → 29

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(literal 1 binary64)
(/.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) (log.f64 base)))
(pow.f64 base (atan2.f64 im re))
(neg.f64 (log.f64 base))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 base))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 base) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (*.f64 (log.f64 base) #s(literal 0 binary64)))
(.f64 (log.f64 base) (.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) #s(literal 0 binary64))) (.f64 (log.f64 base) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))

Outputs
#s(approx im #s(literal 0 binary64))
#s(approx re re)
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx (* (log base) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (atan2 im re) (log base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (pow base (atan2 im re)) (exp.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
#s(approx (/ (atan2 im re) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (+ (* (/ (* (log base) (atan2 im re)) (log base)) (* (neg (log base)) (log base))) (* (log base) 0)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
#s(approx (pow (pow base (atan2 im re)) (/ 1 (* (log base) (log base)))) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
#s(approx im im)
#s(approx base base)
#s(approx (log base) (log.f64 base))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (neg (log base)) (*.f64 #s(literal -1 binary64) (log.f64 base)))
#s(approx (* (neg (log base)) (log base)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (/ 1 (* (log base) (log base))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (* (log base) (* (neg (log base)) (log base))) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (* (log base) (atan2 im re)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (/ (atan2 im re) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (pow base (atan2 im re)) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))))
#s(approx (neg (log base)) (log.f64 (/.f64 #s(literal 1 binary64) base)))
#s(approx (* (neg (log base)) (log base)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (/ 1 (* (log base) (log base))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (/ (atan2 im re) (* (log base) (log base))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (+ (* (/ (* (log base) (atan2 im re)) (log base)) (* (neg (log base)) (log base))) (* (log base) 0)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)) (atan2.f64 im re))))
#s(approx (* (log base) (* (neg (log base)) (log base))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))
#s(approx (pow (pow base (atan2 im re)) (/ 1 (* (log base) (log base)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))))

Calls

9 calls:

Time	Variable	Point
88.0ms	base	inf
58.0ms	base	0
53.0ms	re	-inf
50.0ms	re	inf
46.0ms	base	-inf

rewrite629.0ms (6.6%)

Memory

-116.9MiB live, 446.6MiB allocated; 985ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	215
0	59	143
1	252	136
2	1567	125
0	5556	125
0	5695	125

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

25 → 1 993

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(literal 1 binary64)
(/.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) (log.f64 base)))
(pow.f64 base (atan2.f64 im re))
(neg.f64 (log.f64 base))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 base))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
(*.f64 (log.f64 base) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (*.f64 (log.f64 base) #s(literal 0 binary64)))
(.f64 (log.f64 base) (.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) #s(literal 0 binary64))) (.f64 (log.f64 base) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))

Outputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
#s(literal 0 binary64)
(*.f64 (neg.f64 (neg.f64 (fabs.f64 (log.f64 base)))) (neg.f64 (neg.f64 (fabs.f64 (log.f64 base)))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))))
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(fma.f64 (/.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (log.f64 base)) (/.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (copysign.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (neg.f64 (log.f64 base))) (/.f64 (neg.f64 (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 im re)))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (/.f64 (/.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(log.f64 (pow.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))) (atan2.f64 im re)))
(log.f64 (pow.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base)))) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 base (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (neg.f64 (log.f64 base)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (neg.f64 (log.f64 base))) (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(log.f64 (.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))) #s(literal 1 binary64)))
(log.f64 (.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base)))) #s(literal 1 binary64)))
(log.f64 (/.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) #s(literal 1 binary64)))
(log.f64 (/.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))) #s(literal 1 binary64)))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))

eval81.0ms (0.8%)

Memory: -32.0MiB live, 89.1MiB allocated; 17ms collecting garbage
Compiler: Compiled 28 671 to 2 372 computations (91.7% saved)

prune28.0ms (0.3%)

Memory

-18.1MiB live, 82.3MiB allocated; 7ms collecting garbage

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1 235	11	1 246
Fresh	7	2	9
Picked	2	3	5
Done	0	1	1
Total	1 244	17	1 261

Accuracy

76.2%

Counts

1 261 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(/.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64))) (log.f64 base)) (.f64 (log.f64 base) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
✓	29.1%	(/.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))))
	52.7%	(/.f64 (-.f64 (.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (fabs.f64 (log.f64 base))) #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (fabs.f64 (log.f64 base))))
	52.8%	(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))
▶	52.7%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	52.8%	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
▶	52.9%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
▶	52.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re)))
	52.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	52.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
	52.6%	(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
✓	52.7%	(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
▶	52.8%	(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
	52.7%	(.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re))))
	52.7%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
▶	30.5%	(log.f64 (pow.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
✓	52.9%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 432 to 126 computations (70.8% saved)

sample0.0ms (0.0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
0
1

Outputs
#s(literal 0 binary64)
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 3 computations (25.0% saved)

series260.0ms (2.7%)

Memory

64.3MiB live, 563.0MiB allocated; 125ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	309

Stop Event

1×	iter-limit

Counts

24 → 25

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))
#s(approx im #s(literal 0 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(literal 1 binary64)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(atan2.f64 #s(approx im #s(literal 0 binary64)) re)
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re))
(pow.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))

Outputs
#s(approx im #s(literal 0 binary64))
#s(approx re re)
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx (* (log base) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (atan2 im re) (log base)) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (log base) (atan2 im re)) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (/ (atan2 im re) (log base)) (log base)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (pow base (atan2 im re)) (exp.f64 (*.f64 (log.f64 base) (atan2.f64 im re))))
#s(approx (pow (pow base (atan2 im re)) (/ 1 (* (log base) (log base)))) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
#s(approx im im)
#s(approx base base)
#s(approx (log base) (log.f64 base))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (/ 1 (* (log base) (log base))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (* (log base) (atan2 im re)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (/ (atan2 im re) (log base)) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ 1 (* (log base) (log base))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (/ (log base) (atan2 im re)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (/ (/ (atan2 im re) (log base)) (log base)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (pow base (atan2 im re)) (exp.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re)))))
#s(approx (pow (pow base (atan2 im re)) (/ 1 (* (log base) (log base)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))))

Calls

9 calls:

Time	Variable	Point
51.0ms	im	0
39.0ms	base	0
33.0ms	base	inf
28.0ms	re	0
27.0ms	base	-inf

rewrite189.0ms (2.0%)

Memory

-10.7MiB live, 358.9MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	148
0	42	124
1	110	116
2	400	116
3	1919	116
0	4769	116
0	5035	116

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

24 → 2 250

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
#s(literal 0 binary64)
(*.f64 (log.f64 base) (log.f64 base))
#s(approx im #s(literal 0 binary64))
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(literal 1 binary64)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(atan2.f64 #s(approx im #s(literal 0 binary64)) re)
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re))
(pow.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))

Outputs
im
re
(*.f64 (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 im re)))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (fabs.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
(atan2.f64 im re)
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (atan2.f64 im re) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 base)))) (neg.f64 (.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (log.f64 base)))))
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(.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (neg.f64 (*.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (log.f64 base))))) (neg.f64 (fabs.f64 (log.f64 base))))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (log.f64 base))) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))))) (neg.f64 (fabs.f64 (log.f64 base))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (.f64 (log.f64 base) (log.f64 base))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (neg.f64 (fabs.f64 (log.f64 base))))) (neg.f64 (neg.f64 (fabs.f64 (log.f64 base)))))
(/.f64 (neg.f64 (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (fabs.f64 (log.f64 base)))) (neg.f64 (fabs.f64 (log.f64 base))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (neg.f64 (log.f64 base))))) (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 base)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re))))))) (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (log.f64 base)))) (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 base))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))))) (neg.f64 (.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (*.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (log.f64 base)))) (fabs.f64 (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (log.f64 base))) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re))))) (fabs.f64 (log.f64 base)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (.f64 (log.f64 base) (log.f64 base)))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re))))) (.f64 #s(literal 2 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (neg.f64 (fabs.f64 (log.f64 base)))) (neg.f64 (fabs.f64 (log.f64 base))))
(/.f64 (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (fabs.f64 (log.f64 base))) (fabs.f64 (log.f64 base)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (neg.f64 (log.f64 base)))) (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 base))))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))))) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (log.f64 base))) (.f64 #s(literal 2 binary64) (log.f64 base)))
(/.f64 (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 (fabs.f64 base))))
(/.f64 (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re))))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)))
(/.f64 (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (log.f64 base)) (log.f64 (fabs.f64 base)))
(/.f64 (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (log.f64 base)) (log.f64 base))
(/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 base)) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (neg.f64 (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (neg.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 base) (log.f64 base)) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re))))))
(neg.f64 (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 base))) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re))))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (log.f64 base))))
(neg.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (.f64 (log.f64 base) (log.f64 base)))))
(neg.f64 (.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 base)))))
(neg.f64 (/.f64 (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (neg.f64 (log.f64 base))) (log.f64 base)))
(log.f64 (pow.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (log.f64 base))))
(log.f64 (pow.f64 (E.f64) (/.f64 (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)))) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))

eval192.0ms (2.0%)

Memory: 8.4MiB live, 330.5MiB allocated; 108ms collecting garbage
Compiler: Compiled 40 765 to 4 512 computations (88.9% saved)

prune39.0ms (0.4%)

Memory

22.8MiB live, 125.8MiB allocated; 10ms collecting garbage

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	1 988	12	2 000
Fresh	5	3	8
Picked	0	5	5
Done	2	2	4
Total	1 995	22	2 017

Accuracy

76.9%

Counts

2 017 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.0%	(/.f64 (atan2.f64 im re) (log.f64 (fabs.f64 base)))
	52.7%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	52.7%	(/.f64 (-.f64 (.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (fabs.f64 (log.f64 base))) #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (fabs.f64 (log.f64 base))))
	52.8%	(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))
▶	52.7%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
✓	52.7%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	58.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 (fabs.f64 base))))
	52.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	55.6%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
	52.8%	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
▶	59.0%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))))
✓	52.9%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	58.9%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base)))) (.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base)))) (.f64 (*.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))) (atan2.f64 im re)))
✓	52.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	52.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (.f64 (log.f64 base) (atan2.f64 im re)))
	52.7%	(.f64 (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
	58.9%	(.f64 (.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))) (/.f64 (/.f64 (atan2.f64 im re) (.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base)))) (.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base)))))
✓	52.7%	(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
✓	52.8%	(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
	52.7%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
✓	30.5%	(log.f64 (pow.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
✓	52.9%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 496 to 127 computations (74.4% saved)

sample2.0ms (0.0%)

Memory

-44.1MiB live, 2.3MiB allocated; 2ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 2 computations (33.3% saved)

series160.0ms (1.7%)

Memory

29.5MiB live, 404.6MiB allocated; 69ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	531

Stop Event

1×	iter-limit

Counts

22 → 37

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(literal 1 binary64)
(fabs.f64 base)
(log.f64 (fabs.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 (fabs.f64 base)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 (fabs.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 (fabs.f64 base))))

Outputs
#s(approx im #s(literal 0 binary64))
#s(approx re re)
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx (* (log base) (atan2 im re)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (atan2 im re) (log (fabs base))) (/.f64 (atan2.f64 im re) (log.f64 (fabs.f64 base))))
#s(approx (/ (log base) (atan2 im re)) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (* (/ 1 (/ (log base) (/ 1 (log base)))) (* (log base) (atan2 im re))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ 1 (atan2 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
#s(approx (* (/ (log base) (atan2 im re)) (log base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (* (/ 1 (atan2 im re)) (log (fabs base))) (/.f64 (log.f64 (fabs.f64 base)) (atan2.f64 im re)))
#s(approx im im)
#s(approx base base)
#s(approx (log base) (log.f64 base))
#s(approx (fabs base) (fabs.f64 base))
#s(approx (log (fabs base)) (log.f64 (fabs.f64 base)))
#s(approx (/ 1 (log (fabs base))) (/.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
#s(approx (/ (log base) (/ 1 (log base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ 1 (/ (log base) (/ 1 (log base)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (log base) (atan2 im re)) (.f64 #s(literal -1 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (fabs base) (*.f64 (pow.f64 base #s(literal 2 binary64)) (fabs.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (log (fabs base)) (+.f64 (log.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (/ 1 (log (fabs base))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))))
#s(approx (/ 1 (log base)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (/ (atan2 im re) (log (fabs base))) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))))
#s(approx (/ (log base) (atan2 im re)) (*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) (atan2.f64 im re))))
#s(approx (/ (log base) (/ 1 (log base))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (/ 1 (/ (log base) (/ 1 (log base)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64))))
#s(approx (* (/ 1 (/ (log base) (/ 1 (log base)))) (* (log base) (atan2 im re))) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base)))))
#s(approx (* (/ (log base) (atan2 im re)) (log base)) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (* (/ 1 (atan2 im re)) (log (fabs base))) (/.f64 (+.f64 (log.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) base))) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base)))) (atan2.f64 im re)))
#s(approx (fabs base) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 base #s(literal 2 binary64)) (fabs.f64 (/.f64 #s(literal -1 binary64) base)))))
#s(approx (log (fabs base)) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) base)))) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
#s(approx (/ 1 (log (fabs base))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) base)))) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
#s(approx (/ (atan2 im re) (log (fabs base))) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) base)))) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base))))))
#s(approx (* (/ 1 (atan2 im re)) (log (fabs base))) (/.f64 (+.f64 (log.f64 (.f64 #s(literal -1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) base)))) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (atan2.f64 im re)))

Calls

9 calls:

Time	Variable	Point
37.0ms	base	-inf
27.0ms	im	0
24.0ms	re	0
24.0ms	re	-inf
19.0ms	base	inf

rewrite132.0ms (1.4%)

Memory

17.4MiB live, 254.4MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	129
0	40	104
1	125	97
2	477	90
3	2509	90
0	4013	90
0	4308	90

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

22 → 1 982

Calls

Call 1

Inputs
im
re
(atan2.f64 im re)
base
(log.f64 base)
(*.f64 (log.f64 base) (atan2.f64 im re))
#s(literal 1 binary64)
(fabs.f64 base)
(log.f64 (fabs.f64 base))
(/.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 (fabs.f64 base)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 (fabs.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 (fabs.f64 base))))

Outputs
im
re
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)))
(*.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 im re)))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
(atan2.f64 im re)
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64))
(pow.f64 (.f64 (log.f64 base) (.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (atan2.f64 im re) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (atan2.f64 im re))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (atan2.f64 im re)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (neg.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))
(/.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) #s(literal 1 binary64))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (neg.f64 (atan2.f64 im re)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (/.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (/.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (*.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (neg.f64 (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (neg.f64 (log.f64 base)) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 im re)))) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 im re)))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (atan2.f64 im re) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (atan2.f64 im re) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 #s(literal 1 binary64) (atan2.f64 im re) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) #s(literal 1 binary64) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(fma.f64 (atan2.f64 im re) #s(literal 1 binary64) #s(literal 0 binary64))
(+.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(+.f64 (atan2.f64 im re) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(+.f64 (atan2.f64 im re) #s(literal 0 binary64))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) base) #s(literal -1 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) base) (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (pow.f64 (fabs.f64 base) (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (pow.f64 base (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 base (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))))) (*.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (pow.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base)))) (.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (pow.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) (log.f64 base)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))) (log.f64 base)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))) (atan2.f64 im re)) (log.f64 base)))
(log.f64 (pow.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 base))) (atan2.f64 im re)))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
base
(*.f64 (/.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 base)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 base)))
(*.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -1 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 base)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (log.f64 base))) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(neg.f64 (neg.f64 (log.f64 base)))
(fma.f64 (/.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (log.f64 base) #s(literal 0 binary64)))
(fma.f64 (/.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (log.f64 base)) (.f64 (log.f64 base) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (log.f64 base) (*.f64 #s(literal 1/2 binary64) (log.f64 base)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 (log.f64 base) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64) (*.f64 (log.f64 base) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(fma.f64 (neg.f64 (log.f64 base)) #s(literal -1 binary64) #s(literal 0 binary64))
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(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 im re)))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 im re)))) (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 (fabs.f64 (pow.f64 base (atan2.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re) (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(fma.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(fma.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (log.f64 (fabs.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base)))))) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (log.f64 (fabs.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))) (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(fma.f64 (atan2.f64 im re) (log.f64 (fabs.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))) #s(literal 0 binary64))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) base) (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 base)) (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) base) #s(literal -1 binary64)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (.f64 #s(literal 1 binary64) base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (fabs.f64 base) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 (atan2.f64 im re) (log.f64 base))))
(log.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 base (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(log.f64 (pow.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))) (atan2.f64 im re)) #s(literal 1 binary64)))
(log.f64 (pow.f64 (.f64 #s(literal 1 binary64) (pow.f64 base (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))))) (atan2.f64 im re)))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))) (atan2.f64 im re)))

eval144.0ms (1.5%)

Memory: 3.7MiB live, 333.6MiB allocated; 37ms collecting garbage
Compiler: Compiled 35 991 to 4 331 computations (88.0% saved)

prune62.0ms (0.7%)

Memory

-3.5MiB live, 87.3MiB allocated; 6ms collecting garbage

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	1 856	10	1 866
Fresh	5	5	10
Picked	0	5	5
Done	1	6	7
Total	1 862	26	1 888

Accuracy

89.0%

Counts

1 888 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.9%	(/.f64 (atan2.f64 #s(approx im #s(literal 0 binary64)) re) (log.f64 (fabs.f64 base)))
	56.3%	(/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 (*.f64 base base))))
✓	59.0%	(/.f64 (atan2.f64 im re) (log.f64 (fabs.f64 base)))
	52.7%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	52.7%	(/.f64 (-.f64 (.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (fabs.f64 (log.f64 base))) #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (fabs.f64 (log.f64 base))))
	52.8%	(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))
	58.8%	(/.f64 (log.f64 (fabs.f64 base)) (*.f64 (/.f64 (log.f64 (fabs.f64 base)) (atan2.f64 im re)) (log.f64 (fabs.f64 base))))
✓	52.7%	(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
	44.6%	(/.f64 (log.f64 base) (*.f64 (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (log.f64 base)))
✓	52.7%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	58.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 (fabs.f64 base))))
	52.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	57.4%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (fabs.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
	55.6%	(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
	58.9%	(/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (atan2 im re)) (log (fabs base))) (/.f64 (log.f64 (fabs.f64 base)) (atan2.f64 im re))))
	52.8%	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
✓	59.0%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))))
✓	52.9%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	58.9%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base)))) (.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base)))) (.f64 (*.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))) (atan2.f64 im re)))
✓	52.8%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re)))
	58.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fabs.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))))) (.f64 (log.f64 (fabs.f64 base)) (atan2.f64 im re)))
✓	52.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	52.7%	(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
✓	52.8%	(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
	52.7%	(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
✓	52.9%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 314 to 78 computations (75.2% saved)

regimes171.0ms (1.8%)

Memory

-2.0MiB live, 327.4MiB allocated; 104ms collecting garbage

Counts

1 → 1

2 → 1

7 → 2

48 → 4

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)))

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)))

Call 2

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 (fabs.f64 base)))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 (fabs.f64 base)))

Call 3

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 (fabs.f64 base)))
(/.f64 (atan2.f64 #s(approx im #s(literal 0 binary64)) re) (log.f64 (fabs.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (atan2 im re)) (log (fabs base))) (/.f64 (log.f64 (fabs.f64 base)) (atan2.f64 im re))))

Outputs

(/.f64 (atan2.f64 #s(approx im #s(literal 0 binary64)) re) (log.f64 (fabs.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)))

Call 4

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 (fabs.f64 base)))
(/.f64 (atan2.f64 #s(approx im #s(literal 0 binary64)) re) (log.f64 (fabs.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))))
(/.f64 #s(literal 1 binary64) #s(approx (* (/ 1 (atan2 im re)) (log (fabs base))) (/.f64 (log.f64 (fabs.f64 base)) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 (*.f64 base base))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 (fabs.f64 base))))
(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (atan2.f64 im re) (/.f64 (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 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 base)))
(/.f64 (log.f64 base) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(.f64 (log.f64 base) (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (log.f64 (pow.f64 (fabs.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(/.f64 (log.f64 (fabs.f64 base)) (*.f64 (/.f64 (log.f64 (fabs.f64 base)) (atan2.f64 im re)) (log.f64 (fabs.f64 base))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fabs.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))))) (.f64 (log.f64 (fabs.f64 base)) (atan2.f64 im re)))
(.f64 (.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))) (/.f64 (/.f64 (atan2.f64 im re) (.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base)))) (.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base)))) (.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base)))) (.f64 (*.f64 #s(literal 1 binary64) (log.f64 (fabs.f64 base))) (atan2.f64 im re)))
(/.f64 (log.f64 base) (*.f64 (log.f64 (pow.f64 base (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))) (log.f64 base)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base)) (fabs.f64 (log.f64 base))) #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (fabs.f64 (log.f64 base))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 base (atan2.f64 #s(approx im #s(literal 0 binary64)) re)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))))
(.f64 (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 3 binary64))) (log.f64 base)) (.f64 (log.f64 base) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)) (*.f64 (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (.f64 (neg.f64 (log.f64 base)) (log.f64 base)) (.f64 (log.f64 base) #s(literal 0 binary64))) (.f64 (log.f64 base) (*.f64 (neg.f64 (log.f64 base)) (log.f64 base))))
(/.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) #s(literal 2 binary64)) #s(literal 0 binary64)) (.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))))
(/.f64 (fma.f64 (-.f64 (.f64 (.f64 (copysign.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base)))) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 (*.f64 base base))))
(/.f64 (atan2.f64 #s(approx im #s(literal 0 binary64)) re) (log.f64 (fabs.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 (sqrt.f64 (*.f64 base base))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Calls

17 calls:

34.0ms	(log.f64 base)
29.0ms	im
26.0ms	re
21.0ms	base
18.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
52.9%	1	`(log.f64 base)`
52.9%	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))))`
52.9%	1	`im`
52.9%	1	`base`
52.9%	1	`re`
59.0%	1	`im`
59.0%	1	`re`
59.0%	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))))`
59.0%	1	`(log.f64 base)`
59.0%	1	`base`
76.7%	2	`(log.f64 base)`
76.7%	2	`base`
77.9%	2	`(log.f64 base)`
68.5%	2	`(/.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))))`
69.2%	5	`re`
61.6%	2	`im`
88.8%	4	`base`

Compiler

Compiled 837 to 219 computations (73.8% saved)

bsearch384.0ms (4.0%)

Memory

-31.8MiB live, 521.5MiB allocated; 214ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
159.0ms	-3.745527870850655e-308	1.6364627036498324e-299
136.0ms	-1.3761058368280989e-160	-2.126217352591949e-163
87.0ms	-7.719838475985512e+146	-8.266557681573156e+143

Samples

311.0ms	186×	5	valid
28.0ms	219×	0	valid
1.0ms	11×	1	valid

Compiler

Compiled 437 to 399 computations (8.7% saved)

bsearch77.0ms (0.8%)

Memory

10.2MiB live, 103.2MiB allocated; 9ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
77.0ms	-3.745527870850655e-308	1.6364627036498324e-299

Samples

70.0ms	59×	5	valid
2.0ms	52×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 161 to 149 computations (7.5% saved)

derivations77.0ms (0.8%)

Memory

-11.3MiB live, 85.5MiB allocated; 12ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 73 to 28 computations (61.6% saved)

preprocess28.0ms (0.3%)

Memory: 25.4MiB live, 71.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 101 to 46 computations (54.5% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample6.1s (64.1%)

preprocess29.0ms (0.3%)

sample0.0ms (0.0%)

series92.0ms (1.0%)

rewrite125.0ms (1.3%)

eval50.0ms (0.5%)

prune34.0ms (0.4%)

sample1.0ms (0.0%)

series448.0ms (4.7%)

rewrite629.0ms (6.6%)

eval81.0ms (0.8%)

prune28.0ms (0.3%)

sample0.0ms (0.0%)

series260.0ms (2.7%)

rewrite189.0ms (2.0%)

eval192.0ms (2.0%)

prune39.0ms (0.4%)

sample2.0ms (0.0%)

series160.0ms (1.7%)

rewrite132.0ms (1.4%)

eval144.0ms (1.5%)

prune62.0ms (0.7%)

regimes171.0ms (1.8%)

bsearch384.0ms (4.0%)

bsearch77.0ms (0.8%)

derivations77.0ms (0.8%)

preprocess28.0ms (0.3%)

end0.0ms (0.0%)

Profiling