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

start0.0ms (0%)

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

analyze261.0ms (6.3%)

Memory

-2.8MiB live, 150.2MiB allocated; 42ms 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)

sample1.4s (34.2%)

Memory

74.9MiB live, 1 665.0MiB allocated; 358ms collecting garbage

Samples

1.1s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 822.0ms

ival-log: 223.0ms (27.1% of total)

ival-mult!: 192.0ms (23.4% of total)

ival-hypot: 191.0ms (23.2% of total)

ival-atan2: 86.0ms (10.5% of total)

ival-sub!: 70.0ms (8.5% of total)

ival-div!: 41.0ms (5% of total)

ival-add!: 18.0ms (2.2% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess335.0ms (8.2%)

Memory

-40.3MiB live, 58.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	141
1	283	121
2	1210	86
3	7179	86

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

52.4%

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

Compiler

Compiled 44 to 36 computations (18.2% saved)

series129.0ms (3.1%)

Memory

48.2MiB live, 140.2MiB allocated; 6ms collecting garbage

Counts

18 → 72

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
26.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
17.0ms	re	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
9.0ms	im	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))
8.0ms	re	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (atan2 im re) im re (log base) base (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) 0 (+ (* (log base) (log base)) (* 0 0)) (* (log base) (log base)) (* 0 0))

rewrite207.0ms (5%)

Memory

-23.6MiB live, 153.3MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	313	1967
0	335	1714
1	1667	1638
0	8692	1323

Stop Event

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

Counts

90 → 287

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (log.f64 base))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (fma.f64 (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (.f64 (log.f64 base) (log.f64 base))) (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base)))))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))) (neg.f64 (neg.f64 (.f64 (log.f64 base) (log.f64 base)))))
(/.f64 (neg.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))) (neg.f64 (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base)))
(fma.f64 (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 base))) (/.f64 (log.f64 base) (fabs.f64 (log.f64 base))) (/.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(-.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 base))))
(+.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (/.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))))) #s(literal 0 binary64)) (*.f64 (log.f64 base) (log.f64 base))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))))) #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))))) #s(literal 0 binary64)) (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))))) #s(literal 0 binary64))) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)))))
(fma.f64 (log.f64 base) (atan2.f64 im re) (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))))) #s(literal 0 binary64)))
(fma.f64 (atan2.f64 im re) (log.f64 base) (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im))))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))))
(-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))) #s(literal 0 binary64)))
(log.f64 (/.f64 (pow.f64 base (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (pow.f64 base (atan2.f64 im re)))
(atan2.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(log.f64 base)
base
#s(literal 0 binary64)
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(pow.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))) #s(literal 1 binary64))
(pow.f64 (fma.f64 re re (*.f64 im im)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 re re)))) (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im)))) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (hypot.f64 (.f64 im (.f64 im im)) (.f64 re (.f64 re re))) (sqrt.f64 (fma.f64 (.f64 im im) (.f64 im im) (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 re re))))))
(/.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im))) (sqrt.f64 (fma.f64 (.f64 re re) (.f64 re re) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 im im))))))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) re)
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) im)
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 (neg.f64 re)))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 re))
(hypot.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) re)
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 (neg.f64 im)))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 im))
(hypot.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) im)
(hypot.f64 (neg.f64 im) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 im) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (neg.f64 re) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 re) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 re) (neg.f64 im))
(hypot.f64 (neg.f64 re) im)
(hypot.f64 re (neg.f64 (neg.f64 im)))
(hypot.f64 re (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(hypot.f64 re (neg.f64 im))
(hypot.f64 re im)
(hypot.f64 im (neg.f64 (neg.f64 re)))
(hypot.f64 im (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(hypot.f64 im (neg.f64 re))
(hypot.f64 im re)
(exp.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) (pow.f64 (.f64 (neg.f64 im) im) #s(literal 3 binary64))) (fma.f64 (.f64 re re) (.f64 re re) (fma.f64 (.f64 (neg.f64 im) im) (.f64 (neg.f64 im) im) (.f64 (.f64 re re) (*.f64 (neg.f64 im) im)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 re re)))) (neg.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im)))) (neg.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))))) (neg.f64 (fma.f64 (.f64 im im) (.f64 im im) (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (*.f64 re re))))))
(/.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (neg.f64 (fma.f64 (.f64 re re) (.f64 re re) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (.f64 re re))) (-.f64 (.f64 im im) (.f64 re re)))
(/.f64 (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) (-.f64 (.f64 re re) (.f64 im im)))
(/.f64 (fma.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 im im) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)))) (fma.f64 (.f64 im im) (.f64 im im) (-.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (*.f64 re re)))))
(/.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))) (fma.f64 (.f64 re re) (.f64 re re) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 re re) (*.f64 im im)))))
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) (*.f64 re re))
(fma.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)) (*.f64 im im))
(fma.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (*.f64 re re))
(fma.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (*.f64 im im))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im))
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#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (fma.f64 (-.f64 (.f64 (/.f64 (.f64 im im) (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 (.f64 re re) (.f64 re re)))) (.f64 im im) (/.f64 #s(literal 1/2 binary64) (.f64 re re))) (*.f64 im im) (log.f64 re)))
#s(approx (sqrt (+ (* re re) (* im im))) re)
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (/.f64 (*.f64 im im) re) #s(literal 1/2 binary64) re))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (/.f64 (.f64 im im) (.f64 re (.f64 re re))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) re)) (.f64 im im) re))
#s(approx (sqrt (+ (* re re) (* im im))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 im im)) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 re (.f64 re re)))) (.f64 im im) (/.f64 #s(literal 1/2 binary64) re)) (.f64 im im) re))
#s(approx (* im im) (*.f64 im im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (log.f64 im))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (.f64 re re) (.f64 im im)) #s(literal 1/2 binary64) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im))) (log.f64 im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal 120 binary64)) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)))) (log.f64 im)))
#s(approx (sqrt (+ (* re re) (* im im))) im)
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (fma.f64 (/.f64 (.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64)) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im))) #s(literal 1 binary64)) im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (.f64 re re) (.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)))) #s(literal 1 binary64)) im))
#s(approx (+ (* re re) (* im im)) (.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (.f64 im im)))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (fma.f64 (/.f64 (.f64 re re) (.f64 im im)) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 (neg.f64 im))))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im)))))
#s(approx (log (sqrt (+ (* re re) (* im im)))) (+.f64 (neg.f64 (neg.f64 (log.f64 (neg.f64 im)))) (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/4 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re))) #s(literal 120 binary64)) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im)))) #s(literal 1/720 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im))))))
#s(approx (sqrt (+ (* re re) (* im im))) (neg.f64 im))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (neg.f64 im) (fma.f64 (/.f64 (.f64 re re) (*.f64 im im)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im))) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* re re) (* im im))) (.f64 (neg.f64 im) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 (.f64 im im) (.f64 im im))) #s(literal -1/8 binary64) (fma.f64 (pow.f64 (/.f64 (.f64 re re) (.f64 im im)) #s(literal 3 binary64)) #s(literal 1/16 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)))) #s(literal 1 binary64))))
#s(approx (log base) (log.f64 base))
#s(approx base base)
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
#s(approx (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (* (atan2 im re) (log base)) (*.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re)))
#s(approx (log base) (neg.f64 (neg.f64 (log.f64 base))))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base)))
#s(approx (+ (* (log base) (log base)) (* 0 0)) (*.f64 (log.f64 base) (log.f64 base)))

eval72.0ms (1.8%)

Memory: -13.9MiB live, 52.7MiB allocated; 42ms collecting garbage
Compiler: Compiled 2 984 to 1 294 computations (56.6% saved)

prune11.0ms (0.3%)

Memory

-8.6MiB live, 38.7MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	218	9	227
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	9	228

Accuracy

99.8%

Counts

228 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.3%	(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	52.4%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	52.3%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
	4.9%	(/.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))) (log.f64 (pow.f64 base (log.f64 base))))
▶	31.7%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
	19.8%	(/.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))) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	99.3%	(/.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base)))
▶	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 408 to 338 computations (17.2% saved)

series182.0ms (4.4%)

Memory

26.1MiB live, 304.9MiB allocated; 33ms collecting garbage

Counts

42 → 111

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
49.0ms	base	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) (pow (log base) 4) 4 (/ (- (* (atan2 im re) (/ 1 (pow (log base) -1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0))) (- (* (atan2 im re) (/ 1 (pow (log base) -1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (/ 1 (pow (log base) -1))) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (+ (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0)) (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0))
47.0ms	base	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) (pow (log base) 4) 4 (/ (- (* (atan2 im re) (/ 1 (pow (log base) -1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0))) (- (* (atan2 im re) (/ 1 (pow (log base) -1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (/ 1 (pow (log base) -1))) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (+ (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0)) (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0))
27.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) (pow (log base) 4) 4 (/ (- (* (atan2 im re) (/ 1 (pow (log base) -1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0))) (- (* (atan2 im re) (/ 1 (pow (log base) -1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (/ 1 (pow (log base) -1))) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (+ (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0)) (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0))
12.0ms	re	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) (pow (log base) 4) 4 (/ (- (* (atan2 im re) (/ 1 (pow (log base) -1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0))) (- (* (atan2 im re) (/ 1 (pow (log base) -1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (/ 1 (pow (log base) -1))) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (+ (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0)) (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0))
11.0ms	im	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (log base)) (atan2 im re) im re (log base) base (/ (- (* (log base) (atan2 im re)) 0) (* (log base) (log base))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (* (log base) (log base)) (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (exp (* (log (neg (log base))) 2))) (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0) (log (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* re re) (* im im) (exp (* (log (neg (log base))) 2)) (* (log (neg (log base))) 2) (log (neg (log base))) (neg (log base)) 2 (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0) (pow (log base) 4) 4 (/ (- (* (atan2 im re) (/ 1 (pow (log base) -1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0))) (- (* (atan2 im re) (/ 1 (pow (log base) -1))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (* (atan2 im re) (/ 1 (pow (log base) -1))) (/ 1 (pow (log base) -1)) 1 (pow (log base) -1) -1 (+ (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0)) (* (/ 1 (pow (log base) -1)) (/ 1 (pow (log base) -1))) (* 0 0))

rewrite218.0ms (5.3%)

Memory

-0.4MiB live, 322.6MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	3026
0	475	2359
1	1989	2283
0	9763	1968

Stop Event

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

Counts

153 → 859

Calls

Call 1

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

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

eval79.0ms (1.9%)

Memory: 5.4MiB live, 157.3MiB allocated; 40ms collecting garbage
Compiler: Compiled 9 974 to 2 946 computations (70.5% saved)

prune51.0ms (1.2%)

Memory

11.9MiB live, 58.6MiB allocated; 4ms collecting garbage

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	667	21	688
Fresh	4	0	4
Picked	4	1	5
Done	0	0	0
Total	675	22	697

Accuracy

100.0%

Counts

697 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
	85.8%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))))) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	54.1%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(approx ( (* (log base) (log base)) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
▶	99.1%	(/.f64 (-.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.2%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.1%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (.f64 (log.f64 base) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (.f64 (/.f64 (*.f64 (log.f64 base) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	53.6%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))))
▶	99.2%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.0%	(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
	54.1%	(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
	99.2%	(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
	99.2%	(/.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (.f64 (log.f64 base) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
▶	99.0%	(/.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))))
	11.5%	(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (log.f64 (pow.f64 base (log.f64 base))))
	43.7%	(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (atan2.f64 im re)) #s(literal 0 binary64)) (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
▶	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	44.0%	(/.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (.f64 (log.f64 base) (log.f64 base)))
	99.2%	(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
	44.0%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
✓	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
	43.7%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))

Compiler

Compiled 868 to 710 computations (18.2% saved)

series141.0ms (3.4%)

Memory

-18.1MiB live, 127.7MiB allocated; 9ms collecting garbage

Counts

33 → 50

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

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	im	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (* (log base) (log base)) (/ (- (* (log base) (atan2 im re)) 0) (/ -1 (* (/ 1 (log base)) (neg (/ 1 (log base)))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (/ -1 (* (/ 1 (log base)) (neg (/ 1 (log base))))) -1 (* (/ 1 (log base)) (neg (/ 1 (log base)))) (neg (/ 1 (log base))) (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) 0) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) 0) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (pow (log base) 4) 4 (/ (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (pow (log base) 3)) (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (/ (* (log base) (atan2 im re)) (log base)) (* (log base) 0) (pow (log base) 3) 3)
37.0ms	base	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (* (log base) (log base)) (/ (- (* (log base) (atan2 im re)) 0) (/ -1 (* (/ 1 (log base)) (neg (/ 1 (log base)))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (/ -1 (* (/ 1 (log base)) (neg (/ 1 (log base))))) -1 (* (/ 1 (log base)) (neg (/ 1 (log base)))) (neg (/ 1 (log base))) (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) 0) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) 0) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (pow (log base) 4) 4 (/ (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (pow (log base) 3)) (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (/ (* (log base) (atan2 im re)) (log base)) (* (log base) 0) (pow (log base) 3) 3)
11.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (* (log base) (log base)) (/ (- (* (log base) (atan2 im re)) 0) (/ -1 (* (/ 1 (log base)) (neg (/ 1 (log base)))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (/ -1 (* (/ 1 (log base)) (neg (/ 1 (log base))))) -1 (* (/ 1 (log base)) (neg (/ 1 (log base)))) (neg (/ 1 (log base))) (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) 0) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) 0) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (pow (log base) 4) 4 (/ (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (pow (log base) 3)) (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (/ (* (log base) (atan2 im re)) (log base)) (* (log base) 0) (pow (log base) 3) 3)
10.0ms	base	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (* (log base) (log base)) (/ (- (* (log base) (atan2 im re)) 0) (/ -1 (* (/ 1 (log base)) (neg (/ 1 (log base)))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (/ -1 (* (/ 1 (log base)) (neg (/ 1 (log base))))) -1 (* (/ 1 (log base)) (neg (/ 1 (log base)))) (neg (/ 1 (log base))) (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) 0) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) 0) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (pow (log base) 4) 4 (/ (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (pow (log base) 3)) (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (/ (* (log base) (atan2 im re)) (log base)) (* (log base) 0) (pow (log base) 3) 3)
9.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (atan2 im re) (/ 1 (/ 1 (log base)))) (atan2 im re) im re (/ 1 (/ 1 (log base))) 1 (/ 1 (log base)) (log base) base (/ (* (atan2 im re) (log base)) (* (log base) (log base))) (* (atan2 im re) (log base)) (* (log base) (log base)) (/ (- (* (log base) (atan2 im re)) 0) (/ -1 (* (/ 1 (log base)) (neg (/ 1 (log base)))))) (- (* (log base) (atan2 im re)) 0) (* (log base) (atan2 im re)) 0 (/ -1 (* (/ 1 (log base)) (neg (/ 1 (log base))))) -1 (* (/ 1 (log base)) (neg (/ 1 (log base)))) (neg (/ 1 (log base))) (/ (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) 0) (pow (log base) 4)) (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) 0) (* (* (log base) (atan2 im re)) (* (log base) (log base))) (pow (log base) 4) 4 (/ (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (pow (log base) 3)) (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (/ (* (log base) (atan2 im re)) (log base)) (* (log base) 0) (pow (log base) 3) 3)

rewrite46.0ms (1.1%)

Memory

20.1MiB live, 62.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	1164
0	205	963
0	479	963

Stop Event

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

Counts

83 → 190

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

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

eval21.0ms (0.5%)

Memory: 4.8MiB live, 46.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 745 to 590 computations (66.2% saved)

prune22.0ms (0.5%)

Memory

22.1MiB live, 70.0MiB allocated; 11ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	168	10	178
Fresh	8	8	16
Picked	4	1	5
Done	0	1	1
Total	180	20	200

Accuracy

100.0%

Counts

200 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
	85.8%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))))) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.2%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))
	43.4%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.0%	(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
▶	54.1%	(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
	99.2%	(/.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (.f64 (log.f64 base) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	11.5%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (pow.f64 base (log.f64 base))))
	54.1%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
	99.2%	(/.f64 (.f64 (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.2%	(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	99.2%	(/.f64 #s(approx (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (.f64 (.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.2%	(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
▶	99.3%	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
▶	99.0%	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	44.0%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
✓	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
	43.7%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
▶	99.3%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))

Compiler

Compiled 714 to 596 computations (16.5% saved)

series740.0ms (18%)

Memory

-38.3MiB live, 475.5MiB allocated; 812ms collecting garbage

Counts

32 → 47

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
369.0ms	re	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (/ 1 (log base))) (/ (atan2 im re) 1) (atan2 im re) im re 1 (/ 1 (log base)) (log base) base (* (atan2 im re) (/ (log base) (* (log base) (log base)))) (/ (log base) (* (log base) (log base))) (* (log base) (log base)) (* (/ (* (log base) (atan2 im re)) -1) (* (/ -1 (log base)) (/ 1 (log base)))) (/ (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) -1 (* (/ -1 (log base)) (/ 1 (log base))) (/ -1 (log base)) (/ (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (pow (log base) 3)) (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (* (* (log base) (log base)) (atan2 im re)) (pow (log base) 3) 3 (/ (- (* (log base) (atan2 im re)) 0) (pow (exp 2) (log (neg (log base))))) (- (* (log base) (atan2 im re)) 0) 0 (pow (exp 2) (log (neg (log base)))) (exp 2) 2 (log (neg (log base))) (neg (log base)))
83.0ms	re	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (/ 1 (log base))) (/ (atan2 im re) 1) (atan2 im re) im re 1 (/ 1 (log base)) (log base) base (* (atan2 im re) (/ (log base) (* (log base) (log base)))) (/ (log base) (* (log base) (log base))) (* (log base) (log base)) (* (/ (* (log base) (atan2 im re)) -1) (* (/ -1 (log base)) (/ 1 (log base)))) (/ (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) -1 (* (/ -1 (log base)) (/ 1 (log base))) (/ -1 (log base)) (/ (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (pow (log base) 3)) (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (* (* (log base) (log base)) (atan2 im re)) (pow (log base) 3) 3 (/ (- (* (log base) (atan2 im re)) 0) (pow (exp 2) (log (neg (log base))))) (- (* (log base) (atan2 im re)) 0) 0 (pow (exp 2) (log (neg (log base)))) (exp 2) 2 (log (neg (log base))) (neg (log base)))
63.0ms	re	@	-inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (/ 1 (log base))) (/ (atan2 im re) 1) (atan2 im re) im re 1 (/ 1 (log base)) (log base) base (* (atan2 im re) (/ (log base) (* (log base) (log base)))) (/ (log base) (* (log base) (log base))) (* (log base) (log base)) (* (/ (* (log base) (atan2 im re)) -1) (* (/ -1 (log base)) (/ 1 (log base)))) (/ (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) -1 (* (/ -1 (log base)) (/ 1 (log base))) (/ -1 (log base)) (/ (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (pow (log base) 3)) (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (* (* (log base) (log base)) (atan2 im re)) (pow (log base) 3) 3 (/ (- (* (log base) (atan2 im re)) 0) (pow (exp 2) (log (neg (log base))))) (- (* (log base) (atan2 im re)) 0) 0 (pow (exp 2) (log (neg (log base)))) (exp 2) 2 (log (neg (log base))) (neg (log base)))
59.0ms	im	@	inf	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (/ 1 (log base))) (/ (atan2 im re) 1) (atan2 im re) im re 1 (/ 1 (log base)) (log base) base (* (atan2 im re) (/ (log base) (* (log base) (log base)))) (/ (log base) (* (log base) (log base))) (* (log base) (log base)) (* (/ (* (log base) (atan2 im re)) -1) (* (/ -1 (log base)) (/ 1 (log base)))) (/ (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) -1 (* (/ -1 (log base)) (/ 1 (log base))) (/ -1 (log base)) (/ (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (pow (log base) 3)) (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (* (* (log base) (log base)) (atan2 im re)) (pow (log base) 3) 3 (/ (- (* (log base) (atan2 im re)) 0) (pow (exp 2) (log (neg (log base))))) (- (* (log base) (atan2 im re)) 0) 0 (pow (exp 2) (log (neg (log base)))) (exp 2) 2 (log (neg (log base))) (neg (log base)))
42.0ms	base	@	0	((/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (/ (atan2 im re) 1) (/ 1 (log base))) (/ (atan2 im re) 1) (atan2 im re) im re 1 (/ 1 (log base)) (log base) base (* (atan2 im re) (/ (log base) (* (log base) (log base)))) (/ (log base) (* (log base) (log base))) (* (log base) (log base)) (* (/ (* (log base) (atan2 im re)) -1) (* (/ -1 (log base)) (/ 1 (log base)))) (/ (* (log base) (atan2 im re)) -1) (* (log base) (atan2 im re)) -1 (* (/ -1 (log base)) (/ 1 (log base))) (/ -1 (log base)) (/ (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (pow (log base) 3)) (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (* (* (log base) (log base)) (atan2 im re)) (pow (log base) 3) 3 (/ (- (* (log base) (atan2 im re)) 0) (pow (exp 2) (log (neg (log base))))) (- (* (log base) (atan2 im re)) 0) 0 (pow (exp 2) (log (neg (log base)))) (exp 2) 2 (log (neg (log base))) (neg (log base)))

rewrite51.0ms (1.2%)

Memory

-29.5MiB live, 63.5MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1024
0	187	857
0	447	857

Stop Event

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

Counts

79 → 160

Calls

Call 1

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

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

eval16.0ms (0.4%)

Memory: -4.5MiB live, 39.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 1 476 to 544 computations (63.1% saved)

prune18.0ms (0.4%)

Memory

44.7MiB live, 44.7MiB allocated; 0ms collecting garbage

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	153	6	159
Fresh	2	11	13
Picked	2	3	5
Done	0	2	2
Total	157	22	179

Accuracy

100.0%

Counts

179 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
	85.8%	(/.f64 (-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))))) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.2%	(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))
	99.0%	(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
✓	54.1%	(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
	99.2%	(/.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (.f64 (log.f64 base) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.3%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
	11.5%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (pow.f64 base (log.f64 base))))
	54.1%	(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
	99.2%	(/.f64 (.f64 (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓	99.2%	(/.f64 #s(approx (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (.f64 (.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	43.3%	(/.f64 #s(approx (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.2%	(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓	99.3%	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
	54.1%	(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))))
	99.3%	(.f64 (atan2.f64 im re) #s(approx (/ (log base) ( (log base) (log base))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	99.2%	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)) (log.f64 base)))
	99.2%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) #s(literal -1 binary64))))
	99.0%	(.f64 #s(approx (/ ( (log base) (atan2 im re)) -1) (.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	44.0%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
✓	99.4%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (log.f64 base)))
	43.7%	#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))

Compiler

Compiled 862 to 544 computations (36.9% saved)

regimes69.0ms (1.7%)

Memory

-4.3MiB live, 142.4MiB allocated; 18ms collecting garbage

Accuracy

Total -63.6b remaining (-16966.7%)

Threshold costs -63.6b (-16966.7%)

Counts

47 → 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)))
(.f64 (atan2.f64 im re) #s(approx (/ (log base) ( (log base) (log base))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base)))
#s(approx (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (.f64 (log.f64 base) (log.f64 base)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (log.f64 base))) (*.f64 (log.f64 base) (/.f64 (atan2.f64 im re) #s(literal -1 binary64))))
(/.f64 (/.f64 (.f64 (atan2.f64 im re) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (.f64 (log.f64 base) (log.f64 base)))
(.f64 #s(approx (/ ( (log base) (atan2 im re)) -1) (.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re))) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (.f64 (log.f64 base) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 1 binary64)) (log.f64 base)))
(.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))))
(/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (log.f64 (pow.f64 base (log.f64 base))))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(approx ( (* (log base) (log base)) 0) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (log.f64 (pow.f64 base (log.f64 base))))
(/.f64 #s(approx (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (.f64 (.f64 (log.f64 base) (log.f64 base)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 #s(approx (- (* (* (log base) (atan2 im re)) (* (log base) (log base))) (* (* (log base) (log base)) 0)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (*.f64 (log.f64 base) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 #s(approx (- (* (/ (* (log base) (atan2 im re)) (log base)) (* (log base) (log base))) (* (log base) 0)) (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (neg.f64 (log.f64 base)))))
(/.f64 (-.f64 (.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))))
#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 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (log.f64 (pow.f64 base (log.f64 base))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) #s(literal 0 binary64)) (.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))))
(/.f64 (-.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64)) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (.f64 (log.f64 base) (log.f64 base)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)) (.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (log.f64 base) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (log.f64 base) (log.f64 base))) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 (.f64 (log.f64 base) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (.f64 (/.f64 (*.f64 (log.f64 base) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (atan2.f64 im re)) #s(literal 0 binary64)) (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (/.f64 (+.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))))))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1 binary64)))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (log.f64 base) (atan2.f64 im re) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log.f64 base))))) (.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 0 binary64))))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

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

Calls

5 calls:

16.0ms	(/.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))))
14.0ms	im
11.0ms	base
11.0ms	re
11.0ms	(log.f64 base)

Results

Accuracy	Segments	Branch
99.4%	1	`(log.f64 base)`
99.4%	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))))`
99.4%	1	`re`
99.4%	1	`im`
99.4%	1	`base`

Compiler

Compiled 27 to 31 computations (-14.8% saved)

derivations23.0ms (0.5%)

Memory

-43.0MiB live, 3.8MiB allocated; 2ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 24 to 22 computations (8.3% saved)

preprocess10.0ms (0.2%)

Memory: 22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 46 to 40 computations (13% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze261.0ms (6.3%)

sample1.4s (34.2%)

preprocess335.0ms (8.2%)

series129.0ms (3.1%)

rewrite207.0ms (5%)

eval72.0ms (1.8%)

prune11.0ms (0.3%)

series182.0ms (4.4%)

rewrite218.0ms (5.3%)

eval79.0ms (1.9%)

prune51.0ms (1.2%)

series141.0ms (3.4%)

rewrite46.0ms (1.1%)

eval21.0ms (0.5%)

prune22.0ms (0.5%)

series740.0ms (18%)

rewrite51.0ms (1.2%)

eval16.0ms (0.4%)

prune18.0ms (0.4%)

regimes69.0ms (1.7%)

derivations23.0ms (0.5%)

preprocess10.0ms (0.2%)

end0.0ms (0%)

Profiling