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

analyze270.0ms (2.7%)

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 32 to 19 computations (40.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-mult: 49.0ms (33.7% of total)

ival-log: 28.0ms (19.2% of total)

ival-atan2: 26.0ms (17.9% of total)

ival-add: 18.0ms (12.4% of total)

ival-sqrt: 9.0ms (6.2% of total)

ival-sub: 7.0ms (4.8% of total)

ival-div: 6.0ms (4.1% of total)

const: 1.0ms (0.7% of total)

backward-pass: 1.0ms (0.7% of total)

sample1.9s (19.5%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 375.0ms (32.8% of total)

ival-log: 278.0ms (24.3% of total)

ival-atan2: 124.0ms (10.8% of total)

ival-sub: 122.0ms (10.7% of total)

ival-add: 88.0ms (7.7% of total)

ival-div: 81.0ms (7.1% of total)

ival-sqrt: 62.0ms (5.4% of total)

const: 13.0ms (1.1% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess177.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

2532×	`-lowering-.f32`
2532×	`-lowering-.f64`
2034×	`fnmadd-define`
1996×	`fmsub-define`
1972×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	143
1	266	133
2	570	86
3	1250	69
4	2345	69
5	4385	69
6	7666	69
0	18	13
1	42	12
2	72	8
3	102	6
4	132	6
5	212	6
6	600	6
7	1777	6
8	3034	6
9	4426	6
10	5477	6
11	7250	6
0	8106	6

Stop Event

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

Calls

Call 1

Inputs
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))

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

Call 2

Inputs
(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (- (* (atan2 im (neg re)) (log base)) (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (- (* (atan2 (neg im) re) (log base)) (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (- (* (atan2 im re) (log (neg base))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0)))
(neg (/ (- (* (atan2 im (neg re)) (log base)) (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))))
(neg (/ (- (* (atan2 (neg im) re) (log base)) (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) 0)) (+ (* (log base) (log base)) (* 0 0))))
(neg (/ (- (* (atan2 im re) (log (neg base))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0))))
(/ (- (* (atan2 re im) (log base)) (* (log (sqrt (+ (* im im) (* re re)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (- (* (atan2 im base) (log re)) (* (log (sqrt (+ (* base base) (* im im)))) 0)) (+ (* (log re) (log re)) (* 0 0)))
(/ (- (* (atan2 base re) (log im)) (* (log (sqrt (+ (* re re) (* base base)))) 0)) (+ (* (log im) (log im)) (* 0 0)))

Outputs
(/ (- (* (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 (neg re)) (log base)) (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (atan2 im (neg re)) (log base))
(/ (- (* (atan2 (neg im) re) (log base)) (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (atan2 (neg im) re) (log base))
(/ (- (* (atan2 im re) (log (neg base))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0)))
(/ (atan2 im re) (log (neg base)))
(neg (/ (- (* (atan2 im (neg re)) (log base)) (* (log (sqrt (+ (* (neg re) (neg re)) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0))))
(/ (atan2 im (neg re)) (neg (log base)))
(neg (/ (- (* (atan2 (neg im) re) (log base)) (* (log (sqrt (+ (* re re) (* (neg im) (neg im))))) 0)) (+ (* (log base) (log base)) (* 0 0))))
(/ (atan2 (neg im) re) (neg (log base)))
(neg (/ (- (* (atan2 im re) (log (neg base))) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log (neg base)) (log (neg base))) (* 0 0))))
(/ (neg (atan2 im re)) (log (neg base)))
(/ (- (* (atan2 re im) (log base)) (* (log (sqrt (+ (* im im) (* re re)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
(/ (atan2 re im) (log base))
(/ (- (* (atan2 im base) (log re)) (* (log (sqrt (+ (* base base) (* im im)))) 0)) (+ (* (log re) (log re)) (* 0 0)))
(/ (atan2 im base) (log re))
(/ (- (* (atan2 base re) (log im)) (* (log (sqrt (+ (* re re) (* base base)))) 0)) (+ (* (log im) (log im)) (* 0 0)))
(/ (atan2 base re) (log im))

explain194.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	5	(6.828364930066868e-207 8.77891882604023e-161 1.2963614968370624e+109)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
1	-	0	-	`(*.f64 (atan2.f64 im re) (log.f64 base))`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0	-	0	-	`base`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))`
0	-	0	-	`(-.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)))`
0	-	0	-	`re`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`im`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	0	-	`(log.f64 base)`

Results

118.0ms

512×

valid

Compiler

Compiled 277 to 56 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 17.0ms (26.8% of total)

ival-atan2: 15.0ms (23.7% of total)

ival-log: 13.0ms (20.5% of total)

ival-add: 7.0ms (11% of total)

ival-sqrt: 4.0ms (6.3% of total)

ival-div: 3.0ms (4.7% of total)

ival-sub: 3.0ms (4.7% of total)

const: 1.0ms (1.6% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	53.9%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

99.5%

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

▶

53.9%

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

Compiler

Compiled 40 to 24 computations (40% saved)

simplify135.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	cost-diff	320	(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
✓	cost-diff	13312	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal 0 binary64))
✓	cost-diff	13440	(-.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)))
✓	cost-diff	26752	(/.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))))

Rules

2532×	`-lowering-.f32`
2532×	`-lowering-.f64`
1996×	`fmsub-define`
1972×	`fmm-def`
1964×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	88
1	43	84
2	72	76
3	102	72
4	132	72
5	212	72
6	600	72
7	1778	72
8	3036	72
9	4457	72
10	5499	72
11	7270	72
0	8119	72

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (* (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)
(/ (atan2 im re) (log base))
(atan2 im re)
im
re
(log base)
base

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

localize88.0ms (0.9%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.5%	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.4%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	56.5%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Results

61.0ms

256×

valid

Compiler

Compiled 137 to 20 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 9.0ms (30.4% of total)

ival-div: 6.0ms (20.3% of total)

ival-log: 6.0ms (20.3% of total)

ival-add: 3.0ms (10.1% of total)

ival-atan2: 3.0ms (10.1% of total)

ival-sqrt: 2.0ms (6.8% of total)

ival-sub: 1.0ms (3.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series122.0ms (1.2%)

Counts

10 → 264

Calls

Call 1

Inputs
#<alt (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))>
#<alt (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0))>
#<alt (* (log (sqrt (+ (* re re) (* im im)))) 0)>
#<alt (log (sqrt (+ (* re re) (* im im))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (atan2 im re)>
#<alt (log base)>
#<alt (sqrt (+ (* re re) (* im im)))>
#<alt (* (log base) (log base))>
#<alt (* (atan2 im re) (log base))>

Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (log im)>
#<alt (+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (* -1 (log (/ 1 re)))>
#<alt (+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -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))))))>
#<alt (* -1 (log (/ -1 re)))>
#<alt (+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (+ (* -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))))))>
#<alt (log re)>
#<alt (+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -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))))))>
#<alt (* -1 (log (/ -1 im)))>
#<alt (+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (+ (* -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))))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt im>
#<alt (+ im (* 1/2 (/ (pow re 2) im)))>
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))>
#<alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 re)>
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -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))))))))>
#<alt re>
#<alt (+ re (* 1/2 (/ (pow im 2) re)))>
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))>
#<alt (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))>
#<alt im>
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* 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)))))))>
#<alt (* -1 im)>
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -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))))))))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>

Calls

66 calls:

Time	Variable		Point	Expression
31.0ms	im	@	0	(log (sqrt (+ (* re re) (* im im))))
30.0ms	im	@	0	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
20.0ms	base	@	0	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
14.0ms	base	@	-inf	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))
7.0ms	re	@	0	(/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0)) (+ (* (log base) (log base)) (* 0 0)))

rewrite320.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4236×	`-lowering-.f32`
4236×	`-lowering-.f64`
3188×	`/-lowering-/.f32`
3188×	`/-lowering-/.f64`
1164×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	113	51
2	803	41
3	7932	41
0	8514	41

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 964

Calls

Call 1

Inputs
(/ (- (* (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))
(* (log (sqrt (+ (* re re) (* im im)))) 0)
(log (sqrt (+ (* re re) (* im im))))
(/ (atan2 im re) (log base))
(atan2 im re)
(log base)
(sqrt (+ (* re re) (* im im)))
(* (log base) (log base))
(* (atan2 im re) (log base))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(-.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 base))))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re))))
(neg.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (*.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (*.f64 (log.f64 base) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (neg.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 6 binary64)) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 6 binary64)) (.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 4 binary64))))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 4 binary64)) (.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 9 binary64)) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 6 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))))
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(.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (atan2.f64 im re))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64))) (.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)))) (.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(.f64 (/.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64)) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 6 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 3 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -2 binary64))))

simplify277.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

4250×	`-lowering-.f32`
4250×	`-lowering-.f64`
2740×	`fma-lowering-fma.f32`
2740×	`fma-lowering-fma.f64`
1804×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2000
1	580	1936
2	1908	1914
3	6742	1914
0	8095	1914

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(log im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (log im) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -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))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -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))))))
(log re)
(+ (log re) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (log re) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (log re) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -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))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -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))))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* 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)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -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))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* 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)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -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))))))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))

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

eval205.0ms (2.1%)

Compiler: Compiled 35014 to 2321 computations (93.4% saved)

prune167.0ms (1.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	1328	18	1346
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1329	19	1348

Accuracy

100.0%

Counts

1348 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	47.7%	(/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
	99.1%	(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
▶	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.2%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
	89.0%	(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
▶	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.2%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	99.0%	(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
	48.1%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))

Compiler

Compiled 557 to 368 computations (33.9% saved)

simplify135.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)))
✓	cost-diff	320	(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
✓	cost-diff	13568	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	cost-diff	0	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	12992	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	128	(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
✓	cost-diff	12928	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
✓	cost-diff	12928	(/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	128	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))

Rules

1384×	`fma-lowering-fma.f32`
1384×	`fma-lowering-fma.f64`
1302×	`fmsub-define`
1282×	`fmm-def`
1282×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	131
1	56	131
2	116	129
3	286	129
4	818	129
5	1941	129
6	4017	129
7	5227	129
0	8166	129

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ 1 (/ 1 (atan2 im re))) (log base))
(/ 1 (/ 1 (atan2 im re)))
1
(/ 1 (atan2 im re))
(atan2 im re)
im
re
(log base)
base
(* (atan2 im re) (/ 1 (log base)))
(atan2 im re)
im
re
(/ 1 (log base))
1
(log base)
base
(/ (atan2 im re) (exp (* (log (log base)) 1)))
(atan2 im re)
im
re
(exp (* (log (log base)) 1))
(* (log (log base)) 1)
(log (log base))
(log base)
base
1
(* (pow (log base) -2) (* (atan2 im re) (log base)))
(pow (log base) -2)
(log base)
base
-2
(* (atan2 im re) (log base))
(atan2 im re)
im
re
(/ (/ 1 (/ (/ 1 (log base)) (atan2 im re))) (+ (* (log base) (log base)) (* 0 0)))
(/ 1 (/ (/ 1 (log base)) (atan2 im re)))
1
(/ (/ 1 (log base)) (atan2 im re))
(/ 1 (log base))
(log base)
base
(atan2 im re)
im
re
(+ (* (log base) (log base)) (* 0 0))
(* (log base) (log base))
(* 0 0)
0

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

localize168.0ms (1.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.6%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.7%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
✓	accuracy	99.7%	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(log.f64 (log.f64 base))
✓	accuracy	99.7%	(/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
✓	accuracy	99.2%	(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.7%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))

Results

64.0ms	132×	0	invalid
54.0ms	124×	0	valid

Compiler

Compiled 188 to 27 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 13.0ms (28.7% of total)

ival-mult: 11.0ms (24.3% of total)

ival-atan2: 6.0ms (13.3% of total)

ival-log: 6.0ms (13.3% of total)

ival-pow: 5.0ms (11.1% of total)

ival-exp: 2.0ms (4.4% of total)

ival-add: 1.0ms (2.2% of total)

const: 1.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

series88.0ms (0.9%)

Counts

20 → 456

Calls

Call 1

Inputs
#<alt (/ (/ 1 (/ 1 (atan2 im re))) (log base))>
#<alt (/ 1 (/ 1 (atan2 im re)))>
#<alt (/ 1 (atan2 im re))>
#<alt (atan2 im re)>
#<alt (* (atan2 im re) (/ 1 (log base)))>
#<alt (/ 1 (log base))>
#<alt (log base)>
#<alt (/ (atan2 im re) (exp (* (log (log base)) 1)))>
#<alt (exp (* (log (log base)) 1))>
#<alt (* (log (log base)) 1)>
#<alt (* (pow (log base) -2) (* (atan2 im re) (log base)))>
#<alt (pow (log base) -2)>
#<alt (* (atan2 im re) (log base))>
#<alt (/ (/ 1 (/ (/ 1 (log base)) (atan2 im re))) (+ (* (log base) (log base)) (* 0 0)))>
#<alt (+ (* (log base) (log base)) (* 0 0))>
#<alt (/ 1 (/ (/ 1 (log base)) (atan2 im re)))>
#<alt (* 0 0)>
#<alt (log (log base))>
#<alt (* (log base) (log base))>
#<alt (/ (/ 1 (log base)) (atan2 im re))>

Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>
#<alt (/ 1 (* (log base) (atan2 im re)))>

Calls

114 calls:

Time	Variable		Point	Expression
34.0ms	base	@	0	(* (log (log base)) 1)
19.0ms	base	@	inf	(* (log (log base)) 1)
18.0ms	base	@	-inf	(* (log (log base)) 1)
2.0ms	im	@	-inf	(/ (/ 1 (log base)) (atan2 im re))
1.0ms	base	@	-inf	(/ 1 (log base))

rewrite338.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2966×	`-lowering-.f32`
2966×	`-lowering-.f64`
2010×	`/-lowering-/.f32`
2010×	`/-lowering-/.f64`
1546×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	85
1	128	85
2	762	85
3	5096	85
0	8278	85

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 2085

Calls

Call 1

Inputs
(/ (/ 1 (/ 1 (atan2 im re))) (log base))
(/ 1 (/ 1 (atan2 im re)))
(/ 1 (atan2 im re))
(atan2 im re)
(* (atan2 im re) (/ 1 (log base)))
(/ 1 (log base))
(log base)
(/ (atan2 im re) (exp (* (log (log base)) 1)))
(exp (* (log (log base)) 1))
(* (log (log base)) 1)
(* (pow (log base) -2) (* (atan2 im re) (log base)))
(pow (log base) -2)
(* (atan2 im re) (log base))
(/ (/ 1 (/ (/ 1 (log base)) (atan2 im re))) (+ (* (log base) (log base)) (* 0 0)))
(+ (* (log base) (log base)) (* 0 0))
(/ 1 (/ (/ 1 (log base)) (atan2 im re)))
(* 0 0)
(log (log base))
(* (log base) (log base))
(/ (/ 1 (log base)) (atan2 im re))

Outputs
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(+.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64))) #s(literal 0 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 base)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 (atan2.f64 im re)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 (atan2.f64 im re))))
(exp.f64 (+.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))))
(exp.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))) (.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64))))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (log.f64 (log.f64 base))))
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (-.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 2 binary64))))
(*.f64 (/.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)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (log.f64 base))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64))) (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 base)))
(.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(.f64 (pow.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))

simplify224.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2084×	`sum4-define`
1978×	`sum3-define`
1786×	`sum5-define`
1278×	`fma-define`
1272×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	2700
1	73	2636
2	124	2636
3	278	2636
4	686	2636
5	1733	2636
6	3648	2636
7	7442	2636
0	8169	2636

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(log (log base))
(log (log base))
(log (log base))
(log (log base))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
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(* (log base) (atan2 im re))
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(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
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(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(log (log base))
(log (log base))
(log (log base))
(log (log base))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ -1 (* (log (/ 1 base)) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))
(/ 1 (* (log base) (atan2 im re)))

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

eval488.0ms (4.9%)

Compiler: Compiled 70259 to 5479 computations (92.2% saved)

prune500.0ms (5.1%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	3744	12	3756
Fresh	7	6	13
Picked	2	3	5
Done	0	1	1
Total	3753	22	3775

Accuracy

100.0%

Counts

3775 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
	47.9%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	47.3%	(/.f64 (atan2.f64 im re) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	47.7%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
	99.1%	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
✓	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (log.f64 base))
▶	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
	99.3%	(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.2%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
	46.9%	(.f64 (pow.f64 (E.f64) (.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64))) (*.f64 (atan2.f64 im re) (log.f64 base)))
	51.4%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
▶	47.9%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	99.3%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
▶	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	48.1%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))

Compiler

Compiled 553 to 382 computations (30.9% saved)

simplify258.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	128	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	cost-diff	13120	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	cost-diff	12992	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	12800	(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	12928	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))

Rules

7406×	`-lowering-.f32`
7406×	`-lowering-.f64`
2396×	`/-lowering-/.f32`
2396×	`/-lowering-/.f64`
1508×	`cube-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	128
1	44	127
2	82	122
3	136	122
4	325	122
5	1953	122
6	2468	122
7	2948	122
8	5136	122
9	6102	122
10	6518	122
11	6934	122
12	7382	122
0	8104	122

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ (log base) (atan2 im re)))
1
(/ (log base) (atan2 im re))
(log base)
base
(atan2 im re)
im
re
(/ (/ 1 (log base)) (/ 1 (atan2 im re)))
(/ 1 (log base))
1
(log base)
base
(/ 1 (atan2 im re))
(atan2 im re)
im
re
(* (atan2 im re) (pow (pow (log base) -1/2) 2))
(atan2 im re)
im
re
(pow (pow (log base) -1/2) 2)
(pow (log base) -1/2)
(log base)
base
-1/2
2
(* (/ (atan2 im re) (pow (log base) 2)) (log base))
(/ (atan2 im re) (pow (log base) 2))
(atan2 im re)
im
re
(pow (log base) 2)
(log base)
base
2
(* (pow (log base) -2) (/ (atan2 im re) (/ 1 (log base))))
(pow (log base) -2)
(log base)
base
-2
(/ (atan2 im re) (/ 1 (log base)))
(atan2 im re)
im
re
(/ 1 (log base))
1

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

localize377.0ms (3.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.8%	(/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	accuracy	99.7%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
✓	accuracy	99.7%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.6%	(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))

Results

298.0ms	132×	0	invalid
39.0ms	124×	0	valid

Compiler

Compiled 156 to 24 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 296.0ms

ival-pow: 272.0ms (91.9% of total)

ival-div: 12.0ms (4.1% of total)

ival-mult: 5.0ms (1.7% of total)

ival-log: 4.0ms (1.4% of total)

ival-atan2: 2.0ms (0.7% of total)

const: 1.0ms (0.3% of total)

backward-pass: 0.0ms (0% of total)

series16.0ms (0.2%)

Counts

16 → 408

Calls

Call 1

Inputs
#<alt (/ 1 (/ (log base) (atan2 im re)))>
#<alt (/ (log base) (atan2 im re))>
#<alt (log base)>
#<alt (atan2 im re)>
#<alt (/ (/ 1 (log base)) (/ 1 (atan2 im re)))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (atan2 im re))>
#<alt (* (atan2 im re) (pow (pow (log base) -1/2) 2))>
#<alt (pow (pow (log base) -1/2) 2)>
#<alt (pow (log base) -1/2)>
#<alt (* (/ (atan2 im re) (pow (log base) 2)) (log base))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (pow (log base) 2)>
#<alt (* (pow (log base) -2) (/ (atan2 im re) (/ 1 (log base))))>
#<alt (/ (atan2 im re) (/ 1 (log base)))>
#<alt (pow (log base) -2)>

Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (sqrt (/ 1 (log base)))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* (log base) (atan2 im re))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (* (log (/ 1 base)) (atan2 im re)))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>

Calls

102 calls:

Time	Variable		Point	Expression
1.0ms	base	@	inf	(pow (log base) -1/2)
1.0ms	base	@	-inf	(pow (log base) -1/2)
1.0ms	base	@	0	(pow (log base) -1/2)
1.0ms	im	@	0	(/ (atan2 im re) (pow (log base) 2))
1.0ms	base	@	-inf	(/ (atan2 im re) (pow (log base) 2))

rewrite220.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1902×	`-lowering-.f32`
1902×	`-lowering-.f64`
1344×	`/-lowering-/.f32`
1344×	`/-lowering-/.f64`
1286×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	83
1	107	77
2	511	77
0	4115	77

Stop Event

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

Counts

16 → 1804

Calls

Call 1

Inputs
(/ 1 (/ (log base) (atan2 im re)))
(/ (log base) (atan2 im re))
(log base)
(atan2 im re)
(/ (/ 1 (log base)) (/ 1 (atan2 im re)))
(/ 1 (log base))
(/ 1 (atan2 im re))
(* (atan2 im re) (pow (pow (log base) -1/2) 2))
(pow (pow (log base) -1/2) 2)
(pow (log base) -1/2)
(* (/ (atan2 im re) (pow (log base) 2)) (log base))
(/ (atan2 im re) (pow (log base) 2))
(pow (log base) 2)
(* (pow (log base) -2) (/ (atan2 im re) (/ 1 (log base))))
(/ (atan2 im re) (/ 1 (log base)))
(pow (log base) -2)

Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 #s(literal -1 binary64) (log.f64 (atan2.f64 im re)))))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(neg.f64 (.f64 (.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(neg.f64 (.f64 (.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (log.f64 base)))
(neg.f64 (.f64 (log.f64 base) (.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
(neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (/.f64 (*.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))))
(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (atan2.f64 im re) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 (atan2.f64 im re) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (*.f64 (log.f64 base) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (atan2.f64 im re))) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
(/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base)))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (atan2.f64 im re)))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 1 binary64))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) #s(literal -1 binary64))
(/.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (*.f64 (log.f64 base) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(/.f64 (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 base))) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (*.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (atan2.f64 im re)))))
(/.f64 (.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 base)) (/.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 base))) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 base)))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 (log.f64 base) (atan2.f64 im re))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (/.f64 (atan2.f64 im re) (log.f64 base))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (atan2.f64 im re)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 (atan2.f64 im re) (log.f64 base))) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 base)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (log.f64 base))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(pow.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (.f64 (log.f64 base) (atan2.f64 im re)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (atan2.f64 im re)) #s(literal -1 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (atan2.f64 im re)))
(.f64 (.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (atan2.f64 im re))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 (log.f64 base))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 base))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 base))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(pow.f64 (log.f64 base) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (log.f64 base)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 #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 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (log.f64 base) #s(literal -3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3/2 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 -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -3/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -3/4 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -3/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -3/2 binary64)) (pow.f64 (log.f64 base) #s(literal -1/4 binary64))) (pow.f64 (log.f64 base) #s(literal -1/4 binary64)))

simplify223.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1832×	`fma-lowering-fma.f32`
1832×	`fma-lowering-fma.f64`
1788×	`sum5-define`
1496×	`fma-define`
1494×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	2572
1	80	2516
2	135	2516
3	317	2516
4	858	2516
5	2268	2516
6	4599	2516
0	8054	2516

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* (log base) (atan2 im re))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* -1 (* (log (/ 1 base)) (atan2 im re)))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(* (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))

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

eval389.0ms (3.9%)

Compiler: Compiled 47393 to 3424 computations (92.8% saved)

prune377.0ms (3.8%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	3033	5	3038
Fresh	5	8	13
Picked	2	3	5
Done	0	4	4
Total	3040	20	3060

Accuracy

100.0%

Counts

3060 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	47.9%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
▶	47.3%	(/.f64 (atan2.f64 im re) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	47.7%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
	99.1%	(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
✓	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (log.f64 base))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	99.2%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
	47.8%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
	99.3%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
✓	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
▶	99.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
▶	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))

Compiler

Compiled 456 to 310 computations (32% saved)

simplify245.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	192	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	cost-diff	13184	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	cost-diff	0	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))
✓	cost-diff	12928	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(pow.f64 (E.f64) (log.f64 (log.f64 base)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))
✓	cost-diff	12992	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))

Rules

7602×	`-lowering-.f32`
7602×	`-lowering-.f64`
2942×	`/-lowering-/.f32`
2942×	`/-lowering-/.f64`
1950×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	163
1	48	160
2	87	148
3	214	140
4	478	140
5	1614	140
6	1827	140
7	1987	140
8	2406	140
9	3194	140
10	4793	140
11	6238	140
12	7143	140
0	8057	140

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (* (pow (log base) -2) (atan2 im re)) (log base))
(* (pow (log base) -2) (atan2 im re))
(pow (log base) -2)
(log base)
base
-2
(atan2 im re)
im
re
(/ 1 (* (/ 1 (atan2 im re)) (log base)))
1
(* (/ 1 (atan2 im re)) (log base))
(/ 1 (atan2 im re))
(atan2 im re)
im
re
(log base)
base
(/ (atan2 im re) (pow (E) (log (log base))))
(atan2 im re)
im
re
(pow (E) (log (log base)))
(E)
(log (log base))
(log base)
base
(pow (pow (/ (log base) (atan2 im re)) -1/2) 2)
(pow (/ (log base) (atan2 im re)) -1/2)
(/ (log base) (atan2 im re))
(log base)
base
(atan2 im re)
im
re
-1/2
2
(* (/ (/ 1 (log base)) (/ (log base) (atan2 im re))) (log base))
(/ (/ 1 (log base)) (/ (log base) (atan2 im re)))
(/ 1 (log base))
1
(log base)
base
(/ (log base) (atan2 im re))
(atan2 im re)
im
re

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

localize209.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.9%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	accuracy	99.9%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	98.8%	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(log.f64 (log.f64 base))
✓	accuracy	99.9%	(/.f64 (atan2.f64 im re) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
✓	accuracy	99.5%	(pow.f64 (E.f64) (log.f64 (log.f64 base)))
✓	accuracy	26.2%	(E.f64)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re))
✓	accuracy	99.9%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
✓	accuracy	99.8%	(pow.f64 (log.f64 base) #s(literal -2 binary64))

Results

96.0ms	195×	0	invalid
37.0ms	61×	0	valid

Compiler

Compiled 172 to 26 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-pow: 35.0ms (44.9% of total)

ival-log: 21.0ms (26.9% of total)

ival-div: 10.0ms (12.8% of total)

ival-mult: 7.0ms (9% of total)

ival-atan2: 2.0ms (2.6% of total)

ival-e: 2.0ms (2.6% of total)

const: 1.0ms (1.3% of total)

backward-pass: 0.0ms (0% of total)

series63.0ms (0.6%)

Counts

18 → 468

Calls

Call 1

Inputs
#<alt (* (* (pow (log base) -2) (atan2 im re)) (log base))>
#<alt (* (pow (log base) -2) (atan2 im re))>
#<alt (pow (log base) -2)>
#<alt (log base)>
#<alt (/ 1 (* (/ 1 (atan2 im re)) (log base)))>
#<alt (* (/ 1 (atan2 im re)) (log base))>
#<alt (/ 1 (atan2 im re))>
#<alt (atan2 im re)>
#<alt (/ (atan2 im re) (pow (E) (log (log base))))>
#<alt (pow (E) (log (log base)))>
#<alt (E)>
#<alt (pow (pow (/ (log base) (atan2 im re)) -1/2) 2)>
#<alt (pow (/ (log base) (atan2 im re)) -1/2)>
#<alt (/ (log base) (atan2 im re))>
#<alt (* (/ (/ 1 (log base)) (/ (log base) (atan2 im re))) (log base))>
#<alt (/ (/ 1 (log base)) (/ (log base) (atan2 im re)))>
#<alt (/ 1 (log base))>
#<alt (log (log base))>

Outputs
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log base) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (log (/ 1 base)) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (log base)>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (* -1 (log (/ 1 base)))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (+ (log -1) (* -1 (log (/ -1 base))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (log base) (log (E))))>
#<alt (/ (atan2 im re) (pow (* -1 (log (/ 1 base))) (log (E))))>
#<alt (/ (atan2 im re) (pow (* -1 (log (/ 1 base))) (log (E))))>
#<alt (/ (atan2 im re) (pow (* -1 (log (/ 1 base))) (log (E))))>
#<alt (/ (atan2 im re) (pow (* -1 (log (/ 1 base))) (log (E))))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E))))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E))))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E))))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E))))>
#<alt (pow (log base) (log (E)))>
#<alt (pow (log base) (log (E)))>
#<alt (pow (log base) (log (E)))>
#<alt (pow (log base) (log (E)))>
#<alt (pow (* -1 (log (/ 1 base))) (log (E)))>
#<alt (pow (* -1 (log (/ 1 base))) (log (E)))>
#<alt (pow (* -1 (log (/ 1 base))) (log (E)))>
#<alt (pow (* -1 (log (/ 1 base))) (log (E)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E)))>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E)))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))>
#<alt (* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))>
#<alt (sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (sqrt (/ (atan2 im re) (log base)))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (* -1 (/ (log (/ 1 base)) (atan2 im re)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (log base) (atan2 im re))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (* -1 (/ (atan2 im re) (log (/ 1 base))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (log base))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (log (/ 1 base)) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ (atan2 im re) (pow (log base) 2))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ 1 (log base))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ -1 (log (/ 1 base)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (log base))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (* -1 (log (/ 1 base))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (+ (log -1) (* -1 (log (/ -1 base)))))>

Calls

117 calls:

Time	Variable		Point	Expression
25.0ms	im	@	0	(/ (atan2 im re) (pow (E) (log (log base))))
14.0ms	re	@	0	(/ (atan2 im re) (pow (E) (log (log base))))
6.0ms	base	@	0	(/ (atan2 im re) (pow (E) (log (log base))))
2.0ms	base	@	0	(pow (E) (log (log base)))
1.0ms	base	@	-inf	(/ (atan2 im re) (pow (E) (log (log base))))

rewrite330.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2320×	`-lowering-.f32`
2320×	`-lowering-.f64`
2070×	`+-lowering-+.f64`
2070×	`+-lowering-+.f32`
1614×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	113
1	130	88
2	641	88
3	4435	88
0	8082	88

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1488

Calls

Call 1

Inputs
(* (* (pow (log base) -2) (atan2 im re)) (log base))
(* (pow (log base) -2) (atan2 im re))
(pow (log base) -2)
(log base)
(/ 1 (* (/ 1 (atan2 im re)) (log base)))
(* (/ 1 (atan2 im re)) (log base))
(/ 1 (atan2 im re))
(atan2 im re)
(/ (atan2 im re) (pow (E) (log (log base))))
(pow (E) (log (log base)))
(E)
(pow (pow (/ (log base) (atan2 im re)) -1/2) 2)
(pow (/ (log base) (atan2 im re)) -1/2)
(/ (log base) (atan2 im re))
(* (/ (/ 1 (log base)) (/ (log base) (atan2 im re))) (log base))
(/ (/ 1 (log base)) (/ (log base) (atan2 im re)))
(/ 1 (log base))
(log (log base))

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

simplify254.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2164×	`sum4-define`
1724×	`sum5-define`
1264×	`fma-define`
1220×	`fnmadd-define`
1184×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	3064
1	83	3004
2	125	3004
3	284	3004
4	787	3004
5	2024	3004
6	4073	3004
7	7818	3004
0	8199	3004

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(log base)
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(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
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(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
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(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
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(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
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(/ (atan2 im re) (pow (log base) (log (E))))
(/ (atan2 im re) (pow (log base) (log (E))))
(/ (atan2 im re) (pow (log base) (log (E))))
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(/ (atan2 im re) (pow (log base) (log (E))))
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(/ (atan2 im re) (pow (log base) (log (E))))
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(/ (atan2 im re) (pow (log base) (log (E))))
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(/ (atan2 im re) (pow (log base) (log (E))))
(/ (atan2 im re) (pow (log base) (log (E))))
(/ (atan2 im re) (pow (log base) (log (E))))
(/ (atan2 im re) (pow (log base) (log (E))))
(/ (atan2 im re) (pow (log base) (log (E))))
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(/ (atan2 im re) (pow (log base) (log (E))))
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(/ (atan2 im re) (pow (log base) (log (E))))
(/ (atan2 im re) (pow (log base) (log (E))))
(/ (atan2 im re) (pow (* -1 (log (/ 1 base))) (log (E))))
(/ (atan2 im re) (pow (* -1 (log (/ 1 base))) (log (E))))
(/ (atan2 im re) (pow (* -1 (log (/ 1 base))) (log (E))))
(/ (atan2 im re) (pow (* -1 (log (/ 1 base))) (log (E))))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E))))
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(pow (log base) (log (E)))
(pow (* -1 (log (/ 1 base))) (log (E)))
(pow (* -1 (log (/ 1 base))) (log (E)))
(pow (* -1 (log (/ 1 base))) (log (E)))
(pow (* -1 (log (/ 1 base))) (log (E)))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E)))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E)))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E)))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) (log (E)))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
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(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(/ (atan2 im re) (log base))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ (atan2 im re) (log (/ 1 base)))) (sqrt -1))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(sqrt (/ (atan2 im re) (log base)))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(* -1 (/ (log (/ 1 base)) (atan2 im re)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (atan2 im re))
(/ (log base) (atan2 im re))
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(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
(/ (log base) (atan2 im re))
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(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
(* -1 (/ (atan2 im re) (log (/ 1 base))))
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(/ (atan2 im re) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (atan2 im re) (log base))
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(/ (atan2 im re) (log base))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (log (/ 1 base)) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ (atan2 im re) (pow (log base) 2))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(log (log base))
(log (log base))
(log (log base))
(log (log base))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (* -1 (log (/ 1 base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))

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

eval394.0ms (4%)

Compiler: Compiled 43504 to 3565 computations (91.8% saved)

prune279.0ms (2.8%)

Pruning

21 alts after pruning (9 fresh and 12 done)

	Pruned	Kept	Total
New	2782	3	2785
Fresh	2	6	8
Picked	0	5	5
Done	0	7	7
Total	2784	21	2805

Accuracy

100.0%

Counts

2805 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
✓	51.2%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	51.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
	47.9%	(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
✓	47.3%	(/.f64 (atan2.f64 im re) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
✓	99.5%	(/.f64 (atan2.f64 im re) (log.f64 base))
	47.7%	(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
✓	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
✓	99.2%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
	47.8%	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
	99.3%	(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	99.4%	(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	99.3%	(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
✓	99.3%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
✓	99.2%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
✓	99.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
	50.0%	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))

Compiler

Compiled 751 to 313 computations (58.3% saved)

regimes61.0ms (0.6%)

Accuracy

Total -56.0b remaining (-16103.7%)

Threshold costs -56b (-16103.7%)

Counts

40 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(/.f64 (atan2.f64 im re) (exp.f64 (log.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (pow.f64 (E.f64) (log.f64 (log.f64 base))))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) #s(literal -1 binary64)))
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(/.f64 (atan2.f64 im re) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
(/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (atan2.f64 im re)) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
(.f64 (atan2.f64 im re) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 base)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (atan2.f64 im re))) (log.f64 base))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (atan2.f64 im re) (log.f64 base))) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (atan2.f64 im re))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 5 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(.f64 (pow.f64 (E.f64) (.f64 (log.f64 (log.f64 base)) #s(literal -2 binary64))) (*.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) #s(literal 2 binary64)) (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (/.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))

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

Calls

5 calls:

15.0ms	re
12.0ms	base
11.0ms	(/.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))))
10.0ms	(log.f64 base)
10.0ms	im

Results

Accuracy	Segments	Branch
99.5%	1	`re`
99.5%	1	`im`
99.5%	1	`base`
99.5%	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
99.5%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))

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

soundness333.0ms (3.4%)

Rules

2532×	`-lowering-.f32`
2532×	`-lowering-.f64`
1996×	`fmsub-define`
1972×	`fmm-def`
1964×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	13
1	42	12
2	72	8
3	102	6
4	132	6
5	212	6
6	600	6
7	1777	6
8	3034	6
9	4426	6
10	5477	6
11	7250	6
0	8106	6

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess29.0ms (0.3%)

Compiler: Compiled 80 to 48 computations (40% saved)

analyze270.0ms (2.7%)

sample1.9s (19.5%)

preprocess177.0ms (1.8%)

explain194.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify135.0ms (1.4%)

localize88.0ms (0.9%)

series122.0ms (1.2%)

rewrite320.0ms (3.2%)

simplify277.0ms (2.8%)

eval205.0ms (2.1%)

prune167.0ms (1.7%)

simplify135.0ms (1.4%)

localize168.0ms (1.7%)

series88.0ms (0.9%)

rewrite338.0ms (3.4%)

simplify224.0ms (2.3%)

eval488.0ms (4.9%)

prune500.0ms (5.1%)

simplify258.0ms (2.6%)

localize377.0ms (3.8%)

series16.0ms (0.2%)

rewrite220.0ms (2.2%)

simplify223.0ms (2.3%)

eval389.0ms (3.9%)

prune377.0ms (3.8%)

simplify245.0ms (2.5%)

localize209.0ms (2.1%)

series63.0ms (0.6%)

rewrite330.0ms (3.3%)

simplify254.0ms (2.6%)

eval394.0ms (4%)

prune279.0ms (2.8%)

regimes61.0ms (0.6%)

simplify8.0ms (0.1%)

soundness333.0ms (3.4%)

preprocess29.0ms (0.3%)

end0.0ms (0%)

Profiling