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

start0.0ms (0%)

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

analyze177.0ms (4.3%)

Memory

-19.7MiB live, 312.5MiB allocated; 59ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	49.9%	0.1%	0%	49.9%	0%	4
0%	0%	49.9%	0.1%	0%	49.9%	0%	5
0%	0%	49.9%	0.1%	0%	49.9%	0%	6
9.4%	4.7%	45.2%	0.1%	0%	49.9%	0%	7
17.2%	8.6%	41.3%	0.1%	0%	49.9%	0%	8
27.3%	13.7%	36.3%	0.1%	0%	49.9%	0%	9
41%	20.5%	29.4%	0.1%	0%	49.9%	0%	10
48.6%	24.3%	25.6%	0.1%	0%	49.9%	0%	11
57.1%	28.5%	21.4%	0.1%	0%	49.9%	0%	12

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.7s (41.9%)

Memory

85.4MiB live, 2 741.1MiB allocated; 381ms collecting garbage

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 934.0ms

ival-mult!: 217.0ms (23.2% of total)

ival-atan2: 179.0ms (19.2% of total)

ival-log: 179.0ms (19.2% of total)

ival-hypot: 173.0ms (18.5% of total)

ival-div!: 143.0ms (15.3% of total)

ival-sub!: 22.0ms (2.4% of total)

ival-add!: 19.0ms (2% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess74.0ms (1.8%)

Memory

5.4MiB live, 91.6MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	141
1	349	121
2	1591	121

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.9%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

46.9%

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

series387.0ms (9.4%)

Memory

79.5MiB live, 386.2MiB allocated; 236ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	1453

Stop Event

1×	iter-limit

Counts

18 → 64

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable	Point
209.0ms	re	0
93.0ms	im	-inf
19.0ms	base	0
12.0ms	re	inf
9.0ms	base	-inf

rewrite76.0ms (1.8%)

Memory

-11.5MiB live, 131.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	33	74
1	147	72
0	1510	61

Stop Event

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

Counts

18 → 501

Calls

Call 1

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

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

eval51.0ms (1.3%)

Memory: -7.6MiB live, 132.2MiB allocated; 13ms collecting garbage
Compiler: Compiled 13 107 to 2 014 computations (84.6% saved)

prune16.0ms (0.4%)

Memory

-3.8MiB live, 42.2MiB allocated; 3ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	422	14	436
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	423	14	437

Accuracy

100.0%

Counts

437 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	85.1%	(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))
	85.2%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	22.5%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
	99.2%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	80.0%	(/.f64 (.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (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))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.3%	(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re))))
	99.3%	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
▶	98.7%	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	99.1%	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
▶	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)))
▶	99.3%	(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
▶	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 554 to 352 computations (36.5% saved)

series116.0ms (2.8%)

Memory

12.0MiB live, 296.0MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	348

Stop Event

1×	iter-limit

Counts

22 → 24

Calls

Call 1

Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(*.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 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
#s(literal 1 binary64)
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64))
#s(literal 3 binary64)

Outputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re 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)) (*.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (/ (* (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
#s(approx (/ (* (log base) (atan2 im re)) (pow (* (log base) (log base)) 3)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
#s(approx im im)
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (* (log base) (log base)) (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 (pow (log base) 4) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
#s(approx (pow (* (log base) (log base)) 3) (pow.f64 (log.f64 base) #s(literal 6 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)))))
#s(approx (log base) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#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) (log base)) (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 (* (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) (atan2 im re)) (pow (log base) 4)) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)))))
#s(approx (pow (log base) 4) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64)))
#s(approx (/ (* (log base) (atan2 im re)) (pow (* (log base) (log base)) 3)) (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 5 binary64)))))
#s(approx (pow (* (log base) (log base)) 3) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 6 binary64)))

Calls

9 calls:

Time	Variable	Point
20.0ms	base	-inf
16.0ms	base	inf
13.0ms	im	inf
11.0ms	re	inf
11.0ms	base	0

rewrite194.0ms (4.7%)

Memory

28.8MiB live, 200.3MiB allocated; 109ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	175
0	52	139
1	237	131
0	2202	131

Stop Event

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

Counts

22 → 1 353

Calls

Call 1

Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(*.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 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
#s(literal 1 binary64)
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64)))
(pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64))
#s(literal 3 binary64)

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

eval249.0ms (6.1%)

Memory: 29.3MiB live, 341.2MiB allocated; 137ms collecting garbage
Compiler: Compiled 24 529 to 2 470 computations (89.9% saved)

prune42.0ms (1%)

Memory

-27.2MiB live, 119.4MiB allocated; 24ms collecting garbage

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1 064	14	1 078
Fresh	8	1	9
Picked	2	3	5
Done	0	0	0
Total	1 074	18	1 092

Accuracy

100.0%

Counts

1 092 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))
	98.8%	(/.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))))
	99.4%	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
	99.1%	(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
	99.1%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (log.f64 base) (log.f64 base)))
▶	99.3%	(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
▶	99.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (atan2.f64 im re))
	99.1%	(.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (log.f64 base))
✓	99.3%	(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
▶	45.3%	(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))))
	99.2%	(.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))))
	99.3%	(.f64 (log.f64 base) (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	99.1%	(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (log.f64 base) (log.f64 base)))
	73.9%	(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
▶	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
▶	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))

Compiler

Compiled 605 to 412 computations (31.9% saved)

series307.0ms (7.5%)

Memory

3.0MiB live, 306.8MiB allocated; 236ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	358

Stop Event

1×	iter-limit

Counts

28 → 28

Calls

Call 1

Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (atan2.f64 im re))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))))
(/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 (log.f64 base))
#s(literal 2 binary64)
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal -4 binary64))
#s(literal -4 binary64)

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

Calls

9 calls:

Time	Variable	Point
172.0ms	base	0
52.0ms	base	inf
28.0ms	base	-inf
11.0ms	im	-inf
9.0ms	re	-inf

rewrite42.0ms (1%)

Memory

-2.3MiB live, 46.9MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	210
0	62	166
0	246	164

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

28 → 116

Calls

Call 1

Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(atan2.f64 im re)
im
re
(/.f64 #s(literal 1 binary64) (log.f64 base))
#s(literal 1 binary64)
(log.f64 base)
base
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (atan2.f64 im re))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))))
(/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 (log.f64 base))
#s(literal 2 binary64)
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 binary64)
(pow.f64 (log.f64 base) #s(literal -4 binary64))
#s(literal -4 binary64)

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

eval37.0ms (0.9%)

Memory: -21.6MiB live, 25.0MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 610 to 433 computations (83.4% saved)

prune9.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	4	6	10
Picked	1	4	5
Done	0	3	3
Total	109	17	126

Accuracy

100.0%

Counts

126 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.4%	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
	99.1%	(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
	99.2%	(.f64 (.f64 (atan2.f64 im re) (.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
✓	99.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (atan2.f64 im re))
✓	99.3%	(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
✓	45.3%	(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))))
	99.2%	(.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))))
	99.1%	(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (log.f64 base) (log.f64 base)))
▶	73.9%	(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
▶	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))))
▶	99.3%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))

Compiler

Compiled 564 to 379 computations (32.8% saved)

series347.0ms (8.5%)

Memory

1.9MiB live, 515.4MiB allocated; 91ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	357

Stop Event

1×	iter-limit

Counts

27 → 25

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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#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 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 binary64)

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)))
#s(approx (/ 1 (/ (atan2 im re) (log base))) (/.f64 (log.f64 base) (atan2.f64 im re)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx (/ 1 (atan2 im re)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
#s(approx (* (log base) (/ (log base) (atan2 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (pow base (/ (atan2 im re) (* (log base) (log base)))) (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
#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 (log base) 3) (atan2 im re)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
#s(approx im im)
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (* (log base) (log base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (pow (log base) -4) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
#s(approx (pow (log base) 3) (pow.f64 (log.f64 base) #s(literal 3 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)))))
#s(approx (/ 1 (/ (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) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) base))))
#s(approx (* (log base) (/ (log base) (atan2 im re))) (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)) (atan2.f64 im re)))
#s(approx (pow base (/ (atan2 im re) (* (log base) (log base)))) (exp.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 #s(literal 1 binary64) base))))))
#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) (log base)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 2 binary64)))
#s(approx (pow (log base) -4) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 4 binary64))))
#s(approx (* (pow (log base) 3) (atan2 im re)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64)) (atan2.f64 im re))))
#s(approx (pow (log base) 3) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) base)) #s(literal 3 binary64))))

Calls

9 calls:

Time	Variable	Point
77.0ms	re	-inf
51.0ms	im	-inf
50.0ms	base	-inf
42.0ms	base	inf
33.0ms	im	inf

rewrite97.0ms (2.4%)

Memory

13.5MiB live, 147.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	225
0	61	156
1	252	139
0	2035	139

Stop Event

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

Counts

27 → 1 237

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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(atan2.f64 im re)
im
re
(log.f64 base)
base
#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 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (log.f64 base) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
#s(literal 3 binary64)

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

eval66.0ms (1.6%)

Memory: 17.2MiB live, 156.4MiB allocated; 27ms collecting garbage
Compiler: Compiled 14 819 to 1 671 computations (88.7% saved)

prune16.0ms (0.4%)

Memory

3.5MiB live, 48.7MiB allocated; 5ms collecting garbage

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	487	5	492
Fresh	2	3	5
Picked	1	4	5
Done	1	6	7
Total	491	18	509

Accuracy

100.0%

Counts

509 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base)))
✓	99.4%	(/.f64 (log.f64 base) (*.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
✓	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
	99.1%	(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (atan2.f64 im re))
✓	99.3%	(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
	99.1%	(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (log.f64 base) (log.f64 base)))
	73.9%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)))
	99.3%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
✓	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
✓	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))))
✓	99.3%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
	49.3%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (exp.f64 (.f64 (log.f64 (atan2.f64 im re)) #s(literal -1 binary64))))))
✓	99.5%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	46.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64))))

Compiler

Compiled 475 to 314 computations (33.9% saved)

regimes65.0ms (1.6%)

Memory

7.6MiB live, 150.2MiB allocated; 26ms collecting garbage

Accuracy

Total -59.3b remaining (-19812.4%)

Threshold costs -59.3b (-19812.4%)

Counts

38 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 #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 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (.f64 (log.f64 base) (log.f64 base))))
(.f64 (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 (log.f64 base) (/.f64 (log.f64 base) (atan2.f64 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 base) (/.f64 (log.f64 base) (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))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 base))) (log.f64 base)) (atan2.f64 im re))
(.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 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base))))
(.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) (/.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (exp.f64 (.f64 (log.f64 (atan2.f64 im re)) #s(literal -1 binary64))))))
(.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))))
(log.f64 (pow.f64 base (/.f64 (atan2.f64 im re) (*.f64 (log.f64 base) (log.f64 base)))))
(.f64 #s(approx (/ ( (log base) (atan2 im re)) (pow (log base) 4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (*.f64 (log.f64 base) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)) (log.f64 base))
(.f64 (.f64 (atan2.f64 im re) (.f64 (.f64 (log.f64 base) (log.f64 base)) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (atan2.f64 im re)))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 (log.f64 base) (log.f64 base)))
(/.f64 (.f64 (log.f64 base) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (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))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

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

Calls

5 calls:

18.0ms	base
12.0ms	re
12.0ms	(log.f64 base)
9.0ms	im
8.0ms	(/.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
99.5%	1	`(log.f64 base)`
99.5%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`

Compiler

Compiled 874 to 173 computations (80.2% saved)

derivations2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 35 to 22 computations (37.1% saved)

preprocess13.0ms (0.3%)

Memory: -19.5MiB live, 26.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 63 to 40 computations (36.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze177.0ms (4.3%)

sample1.7s (41.9%)

preprocess74.0ms (1.8%)

series387.0ms (9.4%)

rewrite76.0ms (1.8%)

eval51.0ms (1.3%)

prune16.0ms (0.4%)

series116.0ms (2.8%)

rewrite194.0ms (4.7%)

eval249.0ms (6.1%)

prune42.0ms (1%)

series307.0ms (7.5%)

rewrite42.0ms (1%)

eval37.0ms (0.9%)

prune9.0ms (0.2%)

series347.0ms (8.5%)

rewrite97.0ms (2.4%)

eval66.0ms (1.6%)

prune16.0ms (0.4%)

regimes65.0ms (1.6%)

derivations2.0ms (0%)

preprocess13.0ms (0.3%)

end0.0ms (0%)

Profiling