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

analyze264.0ms (2.5%)

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: 167.0ms

ival-mult: 54.0ms (32.3% of total)

ival-add: 49.0ms (29.3% of total)

ival-log: 29.0ms (17.4% of total)

ival-div: 13.0ms (7.8% of total)

ival-sqrt: 11.0ms (6.6% of total)

ival-atan2: 10.0ms (6% of total)

const: 1.0ms (0.6% of total)

backward-pass: 1.0ms (0.6% of total)

sample1.7s (16%)

Results

1.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 993.0ms

ival-mult: 400.0ms (40.3% of total)

ival-log: 238.0ms (24% of total)

ival-add: 142.0ms (14.3% of total)

ival-sqrt: 73.0ms (7.4% of total)

ival-atan2: 68.0ms (6.8% of total)

ival-div: 57.0ms (5.7% of total)

const: 11.0ms (1.1% of total)

backward-pass: 4.0ms (0.4% of total)

Bogosity

preprocess235.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

4084×	`-lowering-.f32`
4084×	`-lowering-.f64`
1940×	`fnmadd-define`
1908×	`sum3-define`
1878×	`cube-prod`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	79	149
1	177	139
2	314	139
3	633	89
4	1306	75
5	2359	75
6	7182	75
0	18	14
1	30	13
2	39	13
3	51	9
4	60	7
5	62	7
6	115	7
7	333	7
8	1449	7
9	2492	7
10	3773	7
11	4089	7
12	4559	7
13	5304	7
14	6351	7
15	7658	7
0	8017	7

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs re)

(abs im)

(sort re im)

explain197.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	1	(3.1116273380287413e-224 7.974563034958188e-160 4.043768033518043e+72)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`base`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 (atan2.f64 im re) #s(literal 0 binary64))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
0	-	0	-	`(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))`
0	-	0	-	`(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #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	-	`(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: 72.0ms

ival-add: 30.0ms (41.4% of total)

ival-mult: 17.0ms (23.5% of total)

ival-log: 12.0ms (16.6% of total)

ival-atan2: 4.0ms (5.5% of total)

ival-sqrt: 4.0ms (5.5% of total)

ival-div: 3.0ms (4.1% of total)

const: 1.0ms (1.4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Status

Accuracy

Program

▶

51.1%

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

▶

99.5%

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

Compiler

Compiled 41 to 25 computations (39% saved)

simplify202.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	cost-diff	6592	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
✓	cost-diff	7040	(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
✓	cost-diff	20352	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(hypot.f64 re im)
✓	cost-diff	0	(log.f64 (hypot.f64 re im))
✓	cost-diff	0	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Rules

4168×	`-lowering-.f32`
4168×	`-lowering-.f64`
1908×	`sum3-define`
1850×	`cube-prod`
1670×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	31	80
2	40	80
3	51	80
4	60	80
5	62	80
6	115	80
7	327	80
8	1404	80
9	2442	80
10	3772	80
11	4079	80
12	4551	80
13	5282	80
14	6314	80
15	7621	80
16	7973	80
0	8021	80

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize126.0ms (1.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.4%	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	accuracy	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	53.2%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	100.0%	(hypot.f64 re im)
✓	accuracy	100.0%	(log.f64 (hypot.f64 re im))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))

Results

77.0ms

256×

valid

Compiler

Compiled 142 to 22 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 26.0ms (44.8% of total)

ival-log: 9.0ms (15.5% of total)

compiled-spec: 8.0ms (13.8% of total)

ival-add: 5.0ms (8.6% of total)

ival-sqrt: 4.0ms (6.9% of total)

ival-div: 3.0ms (5.2% of total)

ival-atan2: 2.0ms (3.4% of total)

const: 0.0ms (0% of total)

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

series101.0ms (0.9%)

Counts

10 → 264

Calls

Call 1

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

Outputs
#<alt (/ (log im) (log base))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (/ (log re) (log base))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<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))))>
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#<alt (log re)>
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#<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 im>
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#<alt re>
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#<alt (* -1 re)>
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#<alt re>
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#<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 (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 im) (log base))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
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#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (/ (log re) (log base))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))>
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#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
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#<alt 0>
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#<alt (* -1 (* (log base) (log (/ 1 re))))>
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#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))>
#<alt (* -1 (* (log base) (log (/ -1 re))))>
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#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))>
#<alt (* (log base) (log re))>
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#<alt im>
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#<alt re>
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#<alt (* -1 re)>
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#<alt re>
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#<alt im>
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#<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)>
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#<alt (pow (log base) 2)>
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#<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)>

Calls

66 calls:

Time	Variable		Point	Expression
57.0ms	base	@	0	(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
13.0ms	base	@	-inf	(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
10.0ms	base	@	inf	(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
2.0ms	re	@	0	(/ (log (sqrt (+ (* re re) (* im im)))) (log base))
1.0ms	re	@	inf	(/ (log (sqrt (+ (* re re) (* im im)))) (log base))

rewrite322.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3994×	`-lowering-.f32`
3994×	`-lowering-.f64`
2992×	`/-lowering-/.f32`
2992×	`/-lowering-/.f64`
1164×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	94	50
2	728	50
3	7000	50
0	8258	50

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 694

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base))) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)))
(neg.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 base) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)) (log.f64 base))
(pow.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base)))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)))
(.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(.f64 (pow.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (/.f64 #s(literal -1 binary64) (log.f64 base)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (hypot.f64 re im))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 re im))))
(+.f64 (log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/4 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(-.f64 (log.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im)))) (log.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im)))))))
(-.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im)))))
(neg.f64 (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 1 binary64))
(.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))
(hypot.f64 re im)
(hypot.f64 im re)
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im))))) (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (*.f64 im im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))) (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))))
(/.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im))) (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))) (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re))))) (.f64 im (.f64 im (.f64 im (.f64 im (.f64 im im)))))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 re re) (.f64 im im)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 re (.f64 re (.f64 re re))))) (sqrt.f64 (-.f64 (.f64 im im) (.f64 re re))))
(/.f64 (neg.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im)))) (neg.f64 (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 im im)))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im)))))) (neg.f64 (sqrt.f64 (-.f64 (.f64 re re) (.f64 im im)))))
(pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 re re) (.f64 im im)) (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 1/2 binary64))
(.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im))))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im)))))))
(.f64 (hypot.f64 (.f64 re (.f64 re re)) (.f64 im (.f64 im im))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im)))))))
(.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 re re) (*.f64 im im)))))
(.f64 (sqrt.f64 (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 re re) (*.f64 im im)))))
(.f64 (pow.f64 (+.f64 (.f64 re re) (.f64 im im)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (.f64 re re) (*.f64 im im)) #s(literal 1/4 binary64)))
(log.f64 base)
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)))
(/.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 base)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 (log.f64 base) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 base))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (log.f64 base) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(neg.f64 (/.f64 (.f64 (log.f64 base) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (log.f64 base) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (.f64 (log.f64 base) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (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 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) #s(literal 2 binary64)))))
(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (.f64 #s(literal -1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)))))
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(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.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 4 binary64)) #s(literal 1 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 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -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)))

simplify437.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

4444×	`-lowering-.f32`
4444×	`-lowering-.f64`
3660×	`+-lowering-+.f64`
3660×	`+-lowering-+.f32`
1326×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	4474
1	1118	4052
2	3850	4046
0	8102	4046

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(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))))))
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))))))))
(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 im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
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 base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (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)

Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (.f64 (log.f64 base) (.f64 (.f64 im im) (.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im (log.f64 base)))))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im (log.f64 base)))) (.f64 re (.f64 re (+.f64 (/.f64 (/.f64 (.f64 (.f64 re re) #s(literal 1/6 binary64)) (pow.f64 im #s(literal 6 binary64))) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (.f64 (log.f64 base) (.f64 (.f64 im im) (.f64 im im))))))))) (/.f64 (log.f64 im) (log.f64 base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (log.f64 base) (.f64 re re))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (log.f64 base) (.f64 re re))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re re) (*.f64 re re))) (log.f64 base))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (log.f64 base) (.f64 re re))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re re) (.f64 re re))) (log.f64 base))) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (log.f64 base) (.f64 re re))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(-.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (log.f64 base) (.f64 re re))) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re re) (*.f64 re re))) (log.f64 base))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (log.f64 base) (.f64 re re))) (+.f64 (-.f64 (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re re) (.f64 re re))) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64))))))
(/ (log re) (log base))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (log.f64 base) (.f64 re re))))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (.f64 im im) #s(literal -1/4 binary64)) (.f64 (log.f64 base) (.f64 (.f64 re re) (.f64 re re)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 re re)) (log.f64 base)))))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 im (.f64 im (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) (log.f64 base)) (.f64 im (.f64 im (+.f64 (/.f64 (/.f64 (.f64 (.f64 im im) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 6 binary64))) (log.f64 base)) (/.f64 (/.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (log.f64 base)))))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im) (log.f64 base)) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im) (log.f64 base)) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (*.f64 im im))) (log.f64 base))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im im))) (log.f64 base)) (+.f64 (/.f64 (log.f64 im) (log.f64 base)) (+.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im) (log.f64 base)) (/.f64 (/.f64 (.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))) (log.f64 base)))))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(-.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im im))) (log.f64 base)) (-.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im im))) (log.f64 base)) (+.f64 (-.f64 (/.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base))) (/.f64 (/.f64 (.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (pow.f64 im #s(literal 6 binary64))) (log.f64 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(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 (.f64 im 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 (.f64 im im) (.f64 im im))))))))
(* -1 (log (/ 1 re)))
(log.f64 re)
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+.f64 (log.f64 re) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (+.f64 (log.f64 re) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re re) (*.f64 re 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 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 re re) (.f64 re re))) (+.f64 (log.f64 re) (/.f64 (.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 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 #s(literal 1/2 binary64) (.f64 im im)) 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)))))
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(log re)
(log.f64 re)
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(+.f64 (log.f64 re) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re))
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(* -1 (log (/ 1 im)))
(log.f64 im)
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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)))))
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re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(.f64 re (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re)))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
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(* 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)))
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im
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(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
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(log base)
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(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)))
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(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
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(/ (log re) (log base))
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(+.f64 (.f64 (log.f64 base) (log.f64 re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (.f64 im (.f64 im (log.f64 base))) #s(literal -1/4 binary64)) (.f64 (.f64 re re) (.f64 re re))) (/.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 re re)))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(+.f64 (.f64 (log.f64 base) (log.f64 re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 (log.f64 base) #s(literal -1/4 binary64)) (.f64 (.f64 re re) (.f64 re re))) (/.f64 (.f64 (.f64 im (.f64 im (log.f64 base))) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 6 binary64))))))))
(* -1 (* (log base) (log (/ 1 im))))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+.f64 (.f64 (/.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) im))) (.f64 (log.f64 im) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+.f64 (.f64 (/.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) im))) (+.f64 (.f64 (log.f64 im) (log.f64 base)) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (log.f64 base)) (.f64 (.f64 im im) (.f64 im im)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(+.f64 (.f64 (/.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) im))) (+.f64 (.f64 (log.f64 im) (log.f64 base)) (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (log.f64 base)) (.f64 (.f64 im im) (.f64 im im))) (/.f64 (.f64 (.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (log.f64 base)) (pow.f64 im #s(literal 6 binary64))))))
(* -1 (* (log base) (log (/ -1 im))))
(-.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(-.f64 (.f64 (/.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) im))) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+.f64 (.f64 (/.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) im))) (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (log.f64 base)) (.f64 (.f64 im im) (.f64 im im))) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 re re) (.f64 re re))) (log.f64 base)) (.f64 (.f64 im im) (.f64 im im))) (+.f64 (-.f64 (.f64 (/.f64 (.f64 re re) im) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 base) im))) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) im)))) (/.f64 (.f64 (.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) (log.f64 base)) (pow.f64 im #s(literal 6 binary64)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (-.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 (.f64 re 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 (.f64 re 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 #s(literal 1/2 binary64) (*.f64 im im)) re) re)))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/8 binary64)) (.f64 (.f64 re 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 (.f64 im im) (.f64 im im)) #s(literal -1/8 binary64)) (.f64 (.f64 re re) (.f64 re re))) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) 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 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 im im)) re) re)) (-.f64 #s(literal 0 binary64) re))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(.f64 re (+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/8 binary64)) (.f64 (.f64 re re) (.f64 re 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))))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) #s(literal -1/8 binary64)) (.f64 (.f64 re re) (.f64 re re))) (+.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re) (/.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) re))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+.f64 re (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) 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 (.f64 im 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)))))
(+.f64 re (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) re) (.f64 im (.f64 im (+.f64 (/.f64 (.f64 (.f64 im im) #s(literal 1/16 binary64)) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 re (.f64 re re)))))))))
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 (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/8 binary64)) (.f64 (.f64 im 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 (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/8 binary64)) (.f64 (.f64 im 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 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 re re)) im) im)) (-.f64 #s(literal 0 binary64) 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 (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/8 binary64)) (.f64 (.f64 im 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))))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 re re) (.f64 re re)) #s(literal -1/8 binary64)) (.f64 (.f64 im 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))))) (-.f64 #s(literal 0 binary64) im))
(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))

eval153.0ms (1.4%)

Compiler: Compiled 36833 to 2381 computations (93.5% saved)

prune172.0ms (1.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1012	21	1033
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1013	22	1035

Accuracy

99.9%

Counts

1035 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.4%	(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	51.2%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base))) (log.f64 base)) (log.f64 base))
	50.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	51.1%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
	51.0%	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	51.2%	(/.f64 (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
	98.8%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.4%	(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
▶	49.5%	(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	49.1%	(/.f64 (log.f64 (hypot.f64 re im)) (exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))))
▶	99.1%	(/.f64 (log.f64 im) (log.f64 base))
	51.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
	22.2%	(.f64 (pow.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1/2 binary64)))
	49.4%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
▶	51.1%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
	51.1%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
▶	51.1%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)))
	51.1%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))
	51.1%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base))
	51.1%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	22.3%	(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) #s(literal -1 binary64)))

Compiler

Compiled 904 to 575 computations (36.4% saved)

simplify299.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (hypot.f64 re im))
✓	cost-diff	64	(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
✓	cost-diff	19456	(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
✓	cost-diff	19456	(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (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 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	6464	(pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) #s(literal -1 binary64))
✓	cost-diff	6592	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(/.f64 (log.f64 im) (log.f64 base))
✓	cost-diff	0	(hypot.f64 re im)
✓	cost-diff	0	(log.f64 (hypot.f64 re im))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	cost-diff	256	(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))

Rules

6528×	`-lowering-.f32`
6528×	`-lowering-.f64`
3868×	`associate-/r/`
3196×	`*-commutative`
2870×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	193
1	58	185
2	119	185
3	289	185
4	699	185
5	1054	185
6	1610	185
7	2336	185
8	2581	185
9	2600	185
10	2616	185
11	2620	185
12	2620	185
13	3724	185
14	3814	185
15	3856	185
16	3896	185
17	4060	185
18	4660	185
19	4746	185
20	4812	185
21	4812	185
22	4812	185
23	7414	185
24	7730	185
25	7801	185
26	7817	185
0	8974	185

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize165.0ms (1.5%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(/.f64 (log.f64 (hypot.f64 re im)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
✓	accuracy	99.6%	(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))))
✓	accuracy	99.7%	(.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) (log.f64 base))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	75.3%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) #s(literal -1 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	75.3%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.7%	(/.f64 (log.f64 im) (log.f64 base))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	accuracy	99.7%	(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (log.f64 base))

Results

59.0ms	128×	0	valid
50.0ms	128×	0	invalid

Compiler

Compiled 235 to 31 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 22.0ms (27.4% of total)

compiled-spec: 15.0ms (18.7% of total)

ival-log: 14.0ms (17.5% of total)

ival-pow: 14.0ms (17.5% of total)

ival-div: 10.0ms (12.5% of total)

ival-add: 2.0ms (2.5% of total)

ival-sqrt: 2.0ms (2.5% of total)

const: 1.0ms (1.2% of total)

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

series165.0ms (1.5%)

Counts

19 → 444

Calls

Call 1

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

Outputs
#<alt (/ (log im) (log base))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (/ (log re) (log base))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (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 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 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 (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<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))))>
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#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (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 (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log (pow im 2))>
#<alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))>
#<alt (* -2 (log (/ 1 re)))>
#<alt (+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (* -2 (log (/ -1 re)))>
#<alt (+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (log (pow re 2))>
#<alt (+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))>
#<alt (* -2 (log (/ 1 im)))>
#<alt (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (* -2 (log (/ -1 im)))>
#<alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (/ 2 (log (pow im 2)))>
#<alt (+ (* -2 (/ (pow re 2) (* (pow im 2) (pow (log (pow im 2)) 2)))) (* 2 (/ 1 (log (pow im 2)))))>
#<alt (+ (* (pow re 2) (- (* (pow re 2) (+ (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2))) (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2)))))>
#<alt (+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 2/3 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 2)))) (+ (* 2 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 3)))) (* 2 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 4)))))))) (+ (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))) (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2)))))>
#<alt (/ -1 (log (/ 1 re)))>
#<alt (- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))>
#<alt (- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))>
#<alt (- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* 1/6 (/ (pow im 6) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))))>
#<alt (/ -1 (log (/ -1 re)))>
#<alt (- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re))))>
#<alt (- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re)))))>
#<alt (- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ -1 re)) 3))) (+ (* 1/6 (/ (pow im 6) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re)))))))>
#<alt (/ 2 (log (pow re 2)))>
#<alt (+ (* -2 (/ (pow im 2) (* (pow re 2) (pow (log (pow re 2)) 2)))) (* 2 (/ 1 (log (pow re 2)))))>
#<alt (+ (* (pow im 2) (- (* (pow im 2) (+ (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2))) (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 2)))))>
#<alt (+ (* (pow im 2) (- (* (pow im 2) (+ (* -1 (* (pow im 2) (+ (* 2/3 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 2)))) (+ (* 2 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 3)))) (* 2 (/ 1 (* (pow re 6) (pow (log (pow re 2)) 4)))))))) (+ (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))) (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 2)))))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im))))>
#<alt (- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im)))))>
#<alt (- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (+ (* 1/6 (/ (pow re 6) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im)))))))>
#<alt (/ -1 (log (/ -1 im)))>
#<alt (- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))>
#<alt (- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))>
#<alt (- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/6 (/ (pow re 6) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))))>
#<alt (* (log base) (log (pow im 2)))>
#<alt (+ (* (log base) (log (pow im 2))) (/ (* (pow re 2) (log base)) (pow im 2)))>
#<alt (+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* -1/2 (/ (* (pow re 2) (log base)) (pow im 4))) (/ (log base) (pow im 2)))))>
#<alt (+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log base) (pow im 4))) (* 1/3 (/ (* (pow re 2) (log base)) (pow im 6))))) (/ (log base) (pow im 2)))))>
#<alt (* -2 (* (log base) (log (/ 1 re))))>
#<alt (+ (* -2 (* (log base) (log (/ 1 re)))) (/ (* (pow im 2) (log base)) (pow re 2)))>
#<alt (+ (* -2 (* (log base) (log (/ 1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (/ (* (pow im 2) (log base)) (pow re 2))))>
#<alt (+ (* -2 (* (log base) (log (/ 1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/3 (/ (* (pow im 6) (log base)) (pow re 6))) (/ (* (pow im 2) (log base)) (pow re 2)))))>
#<alt (* -2 (* (log base) (log (/ -1 re))))>
#<alt (+ (* -2 (* (log base) (log (/ -1 re)))) (/ (* (pow im 2) (log base)) (pow re 2)))>
#<alt (+ (* -2 (* (log base) (log (/ -1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (/ (* (pow im 2) (log base)) (pow re 2))))>
#<alt (+ (* -2 (* (log base) (log (/ -1 re)))) (+ (* -1/2 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/3 (/ (* (pow im 6) (log base)) (pow re 6))) (/ (* (pow im 2) (log base)) (pow re 2)))))>
#<alt (* (log base) (log (pow re 2)))>
#<alt (+ (* (log base) (log (pow re 2))) (/ (* (pow im 2) (log base)) (pow re 2)))>
#<alt (+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* -1/2 (/ (* (pow im 2) (log base)) (pow re 4))) (/ (log base) (pow re 2)))))>
#<alt (+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log base) (pow re 4))) (* 1/3 (/ (* (pow im 2) (log base)) (pow re 6))))) (/ (log base) (pow re 2)))))>
#<alt (* -2 (* (log base) (log (/ 1 im))))>
#<alt (+ (* -2 (* (log base) (log (/ 1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))>
#<alt (+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))>
#<alt (+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))>
#<alt (* -2 (* (log base) (log (/ -1 im))))>
#<alt (+ (* -2 (* (log base) (log (/ -1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))>
#<alt (+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))>
#<alt (+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))>
#<alt (* (log base) (log (+ (pow im 2) (pow re 2))))>
#<alt (* (log base) (log (+ (pow im 2) (pow re 2))))>
#<alt (* (log base) (log (+ (pow im 2) (pow re 2))))>
#<alt (* (log base) (log (+ (pow im 2) (pow re 2))))>
#<alt (* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))>

Calls

111 calls:

Time	Variable		Point	Expression
45.0ms	im	@	0	(/ (log im) (log base))
35.0ms	base	@	0	(/ (log im) (log base))
22.0ms	im	@	inf	(/ 2 (log (+ (* re re) (* im im))))
16.0ms	base	@	0	(* (/ 1 (log base)) (pow (/ 2 (log (+ (* re re) (* im im)))) -1))
7.0ms	im	@	-inf	(/ (log im) (log base))

rewrite321.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3606×	`-lowering-.f32`
3606×	`-lowering-.f64`
2520×	`/-lowering-/.f32`
2520×	`/-lowering-/.f64`
1220×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	100
1	137	91
2	775	91
3	6666	91
0	8104	91

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1495

Calls

Call 1

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

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

simplify380.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

5344×	`-lowering-.f32`
5344×	`-lowering-.f64`
3852×	`+-lowering-+.f64`
3852×	`+-lowering-+.f32`
2160×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	767	8122
1	2452	7706
0	8355	7706

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (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 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))))))
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))))))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
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(sqrt (log base))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(* -2 (log (/ 1 re)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(* -2 (log (/ -1 re)))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(log (pow re 2))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(* -2 (log (/ 1 im)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(* -2 (log (/ -1 im)))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(/ 2 (log (pow im 2)))
(+ (* -2 (/ (pow re 2) (* (pow im 2) (pow (log (pow im 2)) 2)))) (* 2 (/ 1 (log (pow im 2)))))
(+ (* (pow re 2) (- (* (pow re 2) (+ (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2))) (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2)))))
(+ (* (pow re 2) (- (* (pow re 2) (+ (* -1 (* (pow re 2) (+ (* 2/3 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 2)))) (+ (* 2 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 3)))) (* 2 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 4)))))))) (+ (* 2 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 3)))) (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (* (pow im 2) (pow (log (pow im 2)) 2)))))) (* 2 (/ 1 (log (pow im 2)))))
(/ -1 (log (/ 1 re)))
(- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re))))
(- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))
(- (* -1 (/ (+ (* -1/8 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (+ (* 1/6 (/ (pow im 6) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/4 (/ (pow im 4) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ 1 re)) 2)))) (/ 1 (log (/ 1 re)))))))
(/ -1 (log (/ -1 re)))
(- (* -1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re))))
(- (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 1/4 (/ (pow im 4) (pow (log (/ -1 re)) 3)))) (pow re 4))) (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log (/ -1 re)) 2)))) (/ 1 (log (/ -1 re)))))
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(/ 2 (log (pow re 2)))
(+ (* -2 (/ (pow im 2) (* (pow re 2) (pow (log (pow re 2)) 2)))) (* 2 (/ 1 (log (pow re 2)))))
(+ (* (pow im 2) (- (* (pow im 2) (+ (/ 1 (* (pow re 4) (pow (log (pow re 2)) 2))) (* 2 (/ 1 (* (pow re 4) (pow (log (pow re 2)) 3)))))) (* 2 (/ 1 (* (pow re 2) (pow (log (pow re 2)) 2)))))) (* 2 (/ 1 (log (pow re 2)))))
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(/ -1 (log (/ 1 im)))
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im))))
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im)))))
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (+ (* 1/6 (/ (pow re 6) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (/ 1 (log (/ 1 im)))))))
(/ -1 (log (/ -1 im)))
(- (* -1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im))))
(- (* -1 (/ (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3)))) (pow im 4))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))
(- (* -1 (/ (+ (* -1/8 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/6 (/ (pow re 6) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/4 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/4 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (/ 1 (log (/ -1 im)))))))
(* (log base) (log (pow im 2)))
(+ (* (log base) (log (pow im 2))) (/ (* (pow re 2) (log base)) (pow im 2)))
(+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* -1/2 (/ (* (pow re 2) (log base)) (pow im 4))) (/ (log base) (pow im 2)))))
(+ (* (log base) (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log base) (pow im 4))) (* 1/3 (/ (* (pow re 2) (log base)) (pow im 6))))) (/ (log base) (pow im 2)))))
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(* (log base) (log (pow re 2)))
(+ (* (log base) (log (pow re 2))) (/ (* (pow im 2) (log base)) (pow re 2)))
(+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* -1/2 (/ (* (pow im 2) (log base)) (pow re 4))) (/ (log base) (pow re 2)))))
(+ (* (log base) (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log base) (pow re 4))) (* 1/3 (/ (* (pow im 2) (log base)) (pow re 6))))) (/ (log base) (pow re 2)))))
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(+ (* -2 (* (log base) (log (/ 1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/3 (/ (* (pow re 6) (log base)) (pow im 6))) (/ (* (pow re 2) (log base)) (pow im 2)))))
(* -2 (* (log base) (log (/ -1 im))))
(+ (* -2 (* (log base) (log (/ -1 im)))) (/ (* (pow re 2) (log base)) (pow im 2)))
(+ (* -2 (* (log base) (log (/ -1 im)))) (+ (* -1/2 (/ (* (pow re 4) (log base)) (pow im 4))) (/ (* (pow re 2) (log base)) (pow im 2))))
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(* (log base) (log (+ (pow im 2) (pow re 2))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(* (log base) (log (+ (pow im 2) (pow re 2))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))

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

eval380.0ms (3.6%)

Compiler: Compiled 56898 to 4210 computations (92.6% saved)

prune325.0ms (3%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	2601	25	2626
Fresh	14	2	16
Picked	4	1	5
Done	0	1	1
Total	2619	29	2648

Accuracy

100.0%

Counts

2648 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 2 binary64)) (log.f64 base))
	49.4%	(/.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
	98.9%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
	14.9%	(/.f64 (-.f64 (/.f64 (log.f64 (+.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) #s(literal 2 binary64)) (/.f64 (log.f64 (+.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 im (.f64 im (-.f64 (.f64 im im) (*.f64 re re)))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	49.4%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
	98.8%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	51.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 im im))) (log.f64 base))
	99.2%	(/.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	49.4%	(/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
	49.0%	(/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
	50.3%	(/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
✓	99.1%	(/.f64 (log.f64 im) (log.f64 base))
	48.9%	(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
▶	51.1%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)))
	46.6%	(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)))
	51.1%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 base) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
	98.9%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 im)))
▶	51.1%	(.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	49.4%	(*.f64 (/.f64 (log.f64 im) (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))))
	33.7%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) #s(literal -1 binary64)))) #s(literal -1 binary64)))
	14.9%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (-.f64 (/.f64 (log.f64 (+.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))))) #s(literal 2 binary64)) (/.f64 (log.f64 (+.f64 (.f64 (.f64 re re) (.f64 re re)) (.f64 im (.f64 im (-.f64 (.f64 im im) (.f64 re re)))))) #s(literal 2 binary64))))
▶	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
▶	98.9%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
	33.7%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (log.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 2 binary64)))))
	51.1%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))) (log.f64 base))
	46.6%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))

Compiler

Compiled 1020 to 661 computations (35.2% saved)

simplify395.0ms (3.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5900×	`-lowering-.f32`
5900×	`-lowering-.f64`
3284×	`cube-prod`
2366×	`/-lowering-/.f32`
2366×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	182
1	53	176
2	96	176
3	306	176
4	1335	176
5	2350	176
6	2498	176
7	2611	176
8	2826	176
9	3106	176
10	3508	176
11	4038	176
12	4663	176
13	5424	176
14	6204	176
15	6519	176
16	6829	176
17	7221	176
18	7756	176
0	8790	176

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize162.0ms (1.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	accuracy	99.7%	(.f64 (/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal 2 binary64)) (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	75.3%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
✓	accuracy	99.7%	(/.f64 (log.f64 im) (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	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base)))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	accuracy	75.3%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	100.0%	(log.f64 (hypot.f64 re im))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (log.f64 base))

Results

50.0ms	128×	0	valid
47.0ms	128×	0	invalid

Compiler

Compiled 215 to 28 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 17.0ms (26.4% of total)

ival-log: 12.0ms (18.6% of total)

ival-div: 10.0ms (15.5% of total)

compiled-spec: 10.0ms (15.5% of total)

ival-pow: 9.0ms (14% of total)

ival-add: 4.0ms (6.2% of total)

ival-sqrt: 2.0ms (3.1% of total)

const: 1.0ms (1.6% of total)

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

series51.0ms (0.5%)

Counts

17 → 396

Calls

Call 1

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

Outputs
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (log base))>
#<alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (/ (log re) (log base))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (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 (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 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))))))>
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#<alt (log (pow re 2))>
#<alt (+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))>
#<alt (* -2 (log (/ 1 im)))>
#<alt (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (* -2 (log (/ -1 im)))>
#<alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (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 (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* 1/2 (/ (log (pow im 2)) (log base)))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ 1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))>
#<alt (* 1/2 (/ (log (pow re 2)) (log base)))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (/ (log (pow im 2)) (pow (log base) 2)))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 2)))))))>
#<alt (+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log base) 2)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 2)))))))>
#<alt (* -1 (/ (log (/ 1 re)) (pow (log base) 2)))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2))))))>
#<alt (+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))))>
#<alt (* -1 (/ (log (/ -1 re)) (pow (log base) 2)))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2))))))>
#<alt (+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))))>
#<alt (* 1/2 (/ (log (pow re 2)) (pow (log base) 2)))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 2)))))))>
#<alt (+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 2)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 2)))))))>
#<alt (* -1 (/ (log (/ 1 im)) (pow (log base) 2)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (pow (log base) 2)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))>
#<alt (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))>
#<alt (* 1/2 (log (pow im 2)))>
#<alt (+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))>
#<alt (+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))>
#<alt (+ (* 1/2 (log (pow im 2))) (* (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))) (+ (* 1/6 (/ (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))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* 1/2 (log (pow re 2)))>
#<alt (+ (* 1/2 (log (pow re 2))) (* 1/2 (/ (pow im 2) (pow re 2))))>
#<alt (+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))>
#<alt (+ (* 1/2 (log (pow re 2))) (* (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))) (+ (* 1/6 (/ (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))) (+ (* 1/6 (/ (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)>

Calls

99 calls:

Time	Variable		Point	Expression
4.0ms	im	@	inf	(* (/ 1 (log (+ (* re re) (* im im)))) (log base))
1.0ms	re	@	inf	(* (/ 1 (log (+ (* re re) (* im im)))) (log base))
1.0ms	im	@	inf	(/ 1 (log (+ (* re re) (* im im))))
1.0ms	re	@	inf	(/ 1 (log (+ (* re re) (* im im))))
1.0ms	re	@	0	(* (/ 1 (log (+ (* re re) (* im im)))) (log base))

rewrite411.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3610×	`-lowering-.f32`
3610×	`-lowering-.f64`
2564×	`/-lowering-/.f32`
2564×	`/-lowering-/.f64`
1220×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	100
1	130	89
2	721	89
3	6371	89
0	8161	89

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1415

Calls

Call 1

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

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

simplify414.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

5928×	`-lowering-.f32`
5928×	`-lowering-.f64`
3856×	`+-lowering-+.f64`
3856×	`+-lowering-+.f32`
1856×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	842	8022
1	2689	7674
0	8222	7674

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (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)))))
(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 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))))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
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(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* 1/2 (/ (log (pow re 2)) (log base)))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (pow im 2)) (pow (log base) 2)))
(+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))
(+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 2)))))))
(+ (* 1/2 (/ (log (pow im 2)) (pow (log base) 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log base) 2)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 2)))))))
(* -1 (/ (log (/ 1 re)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))))
(* -1 (/ (log (/ -1 re)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))))
(* 1/2 (/ (log (pow re 2)) (pow (log base) 2)))
(+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))
(+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 2)))))))
(+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 2)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 2)))))))
(* -1 (/ (log (/ 1 im)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))
(* -1 (/ (log (/ -1 im)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(* 1/2 (log (pow im 2)))
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (* 1/2 (log (pow im 2))) (* (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))) (+ (* 1/6 (/ (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))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* 1/2 (log (pow re 2)))
(+ (* 1/2 (log (pow re 2))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (* 1/2 (log (pow re 2))) (* (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))) (+ (* 1/6 (/ (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))) (+ (* 1/6 (/ (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)

Outputs
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+.f64 (.f64 re (.f64 re (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 im (*.f64 im (log.f64 base))))))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im (.f64 im (log.f64 base)))) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))))) (/.f64 (log.f64 im) (log.f64 base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re (.f64 re (log.f64 base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re (.f64 re (log.f64 base)))) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (+.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re (.f64 re (log.f64 base)))) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (-.f64 #s(literal 0 binary64) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re (.f64 re (log.f64 base)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(-.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re (.f64 re (log.f64 base)))) (*.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(+.f64 (-.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re (.f64 re (log.f64 base)))) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 base))) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 binary64))) (.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))))
(/ (log re) (log base))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re (.f64 re (log.f64 base)))))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 (.f64 im im) (+.f64 (.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (.f64 im im) (log.f64 base))) (/.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))))))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+.f64 (/.f64 (log.f64 re) (log.f64 base)) (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (log.f64 base)))) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 im im)) (.f64 (log.f64 base) (pow.f64 re #s(literal 6 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64)))))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (log.f64 base)))) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
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(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2))))))
(+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re (.f64 re (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re (.f64 re (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(* 1/2 (/ (log (pow re 2)) (pow (log base) 2)))
(.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 im im) (.f64 re (*.f64 re (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
(+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 2)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 im im)) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (.f64 re (*.f64 re (pow.f64 (log.f64 base) #s(literal 2 binary64))))))))
(+ (* 1/2 (/ (log (pow re 2)) (pow (log base) 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 2)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 2)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re (.f64 re (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 im im)) (.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))))
(* -1 (/ (log (/ 1 im)) (pow (log base) 2)))
(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))
(+.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))))
(* -1 (/ (log (/ -1 im)) (pow (log base) 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))
(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))
(+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im (.f64 im (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log base) 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 im im) (*.f64 re re)))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(* 1/2 (log (pow im 2)))
(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 im im)))
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 re re) (.f64 im im)) (log.f64 (.f64 im im))))
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+.f64 (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 im im)))) (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 im im))))
(+ (* 1/2 (log (pow im 2))) (* (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 (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))))))) (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 im im))))
(* -1 (log (/ 1 re)))
(log.f64 re)
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+.f64 (log.f64 re) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (*.f64 re re)))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re)) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (log.f64 re)))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re)) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (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 #s(literal 1/2 binary64) (.f64 im im)) (*.f64 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 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (.f64 re re)) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64)))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (*.f64 re re)) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(* 1/2 (log (pow re 2)))
(.f64 #s(literal 1/2 binary64) (log.f64 (.f64 re re)))
(+ (* 1/2 (log (pow re 2))) (* 1/2 (/ (pow im 2) (pow re 2))))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 im im) (.f64 re re)) (log.f64 (.f64 re re))))
(+ (* 1/2 (log (pow re 2))) (* (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 #s(literal -1/4 binary64) (.f64 im im)) (pow.f64 re #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 re re)))) (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 re re))))
(+ (* 1/2 (log (pow re 2))) (* (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 (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 im im)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))))))) (.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 re re))))
(* -1 (log (/ 1 im)))
(log.f64 im)
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im)) (log.f64 im))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (log.f64 im)))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (log.f64 im))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))))
(* -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 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 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 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 im im)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64)))) (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (*.f64 im im)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(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))

eval271.0ms (2.5%)

Compiler: Compiled 45457 to 3741 computations (91.8% saved)

prune268.0ms (2.5%)

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	2243	14	2257
Fresh	12	10	22
Picked	3	2	5
Done	0	2	2
Total	2258	28	2286

Accuracy

100.0%

Counts

2286 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.2%	(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) #s(literal 2 binary64))
	51.2%	(/.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) #s(literal 2 binary64))
▶	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
	98.9%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
	51.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 im im))) (log.f64 base))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
▶	50.9%	(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))) (*.f64 (log.f64 base) #s(literal -2 binary64)))
	49.0%	(/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
	49.4%	(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓	99.1%	(/.f64 (log.f64 im) (log.f64 base))
	48.9%	(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
	51.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (+.f64 (.f64 re re) (.f64 im im)))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
▶	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
	33.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 base)))
	14.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 (+.f64 (.f64 (.f64 re re) (.f64 (.f64 re re) (.f64 re re))) (.f64 (.f64 im im) (.f64 im (.f64 im (.f64 im im)))))) (log.f64 (+.f64 (.f64 im (.f64 im (.f64 im im))) (.f64 (.f64 re re) (-.f64 (.f64 re re) (.f64 im im))))))) (log.f64 base)))
	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 im)) (log.f64 base)))
▶	33.6%	(/.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (log.f64 base)))
	49.4%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
	46.6%	(*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)))
	49.4%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 im))
	51.1%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 base) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
	98.9%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 im)))
	98.9%	(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im))
	98.9%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	98.9%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))) (log.f64 im))
✓	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	98.9%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
▶	46.6%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))

Compiler

Compiled 820 to 562 computations (31.5% saved)

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

1422×	`fma-define`
796×	`sum3-define`
574×	`fnmadd-define`
490×	`fmsub-define`
380×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	195
1	60	192
2	96	187
3	148	187
4	239	187
5	321	187
6	451	187
7	755	187
8	1636	187
9	1724	187
10	2212	187
11	2587	187
12	2642	187
13	2693	187
14	3126	187
15	3140	187
0	3140	187

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize204.0ms (1.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (log.f64 base)))
✓	accuracy	99.8%	(.f64 (exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im)))))) (log.f64 base))
✓	accuracy	99.3%	(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
✓	accuracy	78.1%	(log.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64)))
✓	accuracy	99.8%	(/.f64 (log.f64 base) (log.f64 im))
✓	accuracy	99.5%	(log.f64 (/.f64 (log.f64 base) (log.f64 im)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))) (*.f64 (log.f64 base) #s(literal -2 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im)))
✓	accuracy	79.0%	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 re re) (.f64 im im))))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓	accuracy	99.8%	(/.f64 (log.f64 base) (log.f64 im))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (log.f64 im))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))

Results

89.0ms	161×	0	invalid
38.0ms	95×	0	valid

Compiler

Compiled 234 to 31 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-log: 53.0ms (62.1% of total)

ival-div: 13.0ms (15.2% of total)

ival-mult: 10.0ms (11.7% of total)

ival-exp: 7.0ms (8.2% of total)

ival-add: 1.0ms (1.2% of total)

const: 1.0ms (1.2% of total)

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

series245.0ms (2.3%)

Counts

19 → 444

Calls

Call 1

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

Outputs
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ 1 (log im))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ -1 (log (/ 1 im)))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (log im)>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (* -1 (log (/ 1 im)))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (+ (log -1) (* -1 (log (/ -1 im))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (* -1 (/ (log im) (log (/ 1 base))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (* -1 (/ (log (/ 1 base)) (log im)))>
#<alt (* -1 (/ (log (/ 1 base)) (log im)))>
#<alt (* -1 (/ (log (/ 1 base)) (log im)))>
#<alt (* -1 (/ (log (/ 1 base)) (log im)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (/ (log base) (log im))>
#<alt (* -1 (/ (log base) (log (/ 1 im))))>
#<alt (* -1 (/ (log base) (log (/ 1 im))))>
#<alt (* -1 (/ (log base) (log (/ 1 im))))>
#<alt (* -1 (/ (log base) (log (/ 1 im))))>
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<alt (/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))>
#<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 (* -1/2 (/ (log (/ 1 (pow im 2))) (log base)))>
#<alt (+ (* -1/2 (/ (log (/ 1 (pow im 2))) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1/2 (/ (log (/ 1 (pow im 2))) (log base))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))>
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#<alt (- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow im 6) (log base)) (pow (log (/ 1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log base)) (pow (log (/ 1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log base)) (pow (log (/ 1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log base)) (pow (log (/ 1 re)) 3))))) (log (/ 1 re)))))) (pow re 6))) (* -1/2 (/ (log base) (log (/ 1 re))))) (+ (* -1/8 (/ (* (pow im 4) (log base)) (* (pow re 4) (pow (log (/ 1 re)) 2)))) (+ (* 1/8 (/ (* (pow im 4) (log base)) (* (pow re 4) (pow (log (/ 1 re)) 3)))) (* 1/4 (/ (* (pow im 2) (log base)) (* (pow re 2) (pow (log (/ 1 re)) 2)))))))>
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#<alt (- (+ (* -1 (/ (+ (* -1/8 (/ (* (pow im 4) (log base)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log base)) (pow (log (/ -1 re)) 3)))) (pow re 4))) (* -1/2 (/ (log base) (log (/ -1 re))))) (* 1/4 (/ (* (pow im 2) (log base)) (* (pow re 2) (pow (log (/ -1 re)) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow im 6) (log base)) (pow (log (/ -1 re)) 3))) (+ (* 1/12 (/ (* (pow im 6) (log base)) (pow (log (/ -1 re)) 2))) (* 1/2 (/ (* (pow im 2) (+ (* -1/8 (/ (* (pow im 4) (log base)) (pow (log (/ -1 re)) 2))) (* 1/8 (/ (* (pow im 4) (log base)) (pow (log (/ -1 re)) 3))))) (log (/ -1 re)))))) (pow re 6))) (* -1/2 (/ (log base) (log (/ -1 re))))) (+ (* -1/8 (/ (* (pow im 4) (log base)) (* (pow re 4) (pow (log (/ -1 re)) 2)))) (+ (* 1/8 (/ (* (pow im 4) (log base)) (* (pow re 4) (pow (log (/ -1 re)) 3)))) (* 1/4 (/ (* (pow im 2) (log base)) (* (pow re 2) (pow (log (/ -1 re)) 2)))))))>
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#<alt (+ (* -1 (/ (* (pow im 2) (log base)) (* (pow re 2) (pow (log (pow re 2)) 2)))) (/ (log base) (log (pow re 2))))>
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#<alt (* -1/2 (/ (log base) (log (/ 1 im))))>
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#<alt (- (+ (* -1 (/ (+ (* -1/8 (/ (* (pow re 4) (log base)) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log base)) (pow (log (/ 1 im)) 3)))) (pow im 4))) (* -1/2 (/ (log base) (log (/ 1 im))))) (* 1/4 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ 1 im)) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -1/16 (/ (* (pow re 6) (log base)) (pow (log (/ 1 im)) 3))) (+ (* 1/12 (/ (* (pow re 6) (log base)) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log base)) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log base)) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6))) (* -1/2 (/ (log base) (log (/ 1 im))))) (+ (* -1/8 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/8 (/ (* (pow re 4) (log base)) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (* 1/4 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ 1 im)) 2)))))))>
#<alt (* -1/2 (/ (log base) (log (/ -1 im))))>
#<alt (+ (* -1/2 (/ (log base) (log (/ -1 im)))) (* -1/4 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -1/8 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log base)) (pow (log (/ -1 im)) 3)))) (pow im 4))) (* -1/2 (/ (log base) (log (/ -1 im))))) (* 1/4 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ -1 im)) 2)))))>
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#<alt (/ (log base) (log (+ (pow im 2) (pow re 2))))>
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#<alt (/ -1/2 (log (/ 1 im)))>
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#<alt (- (* -1 (/ (+ (* -1/16 (/ (pow re 6) (pow (log (/ 1 im)) 3))) (+ (* 1/12 (/ (pow re 6) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (pow re 4) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (pow re 4) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6))) (+ (* -1/8 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 2)))) (+ (* 1/8 (/ (pow re 4) (* (pow im 4) (pow (log (/ 1 im)) 3)))) (+ (* 1/4 (/ (pow re 2) (* (pow im 2) (pow (log (/ 1 im)) 2)))) (* 1/2 (/ 1 (log (/ 1 im))))))))>
#<alt (/ -1/2 (log (/ -1 im)))>
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#<alt (- (* -1 (/ (+ (* -1/16 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (+ (* 1/12 (/ (pow re 6) (pow (log (/ -1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 1/8 (/ (pow re 4) (pow (log (/ -1 im)) 3))))) (log (/ -1 im)))))) (pow im 6))) (+ (* -1/8 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 2)))) (+ (* 1/8 (/ (pow re 4) (* (pow im 4) (pow (log (/ -1 im)) 3)))) (+ (* 1/4 (/ (pow re 2) (* (pow im 2) (pow (log (/ -1 im)) 2)))) (* 1/2 (/ 1 (log (/ -1 im))))))))>
#<alt (* -1 (log (log (pow im 2))))>
#<alt (+ (* -1 (log (log (pow im 2)))) (* -1 (/ (pow re 2) (* (pow im 2) (log (pow im 2))))))>
#<alt (+ (* -1 (log (log (pow im 2)))) (* (pow re 2) (- (* 1/24 (* (pow re 2) (+ (* 12 (/ 1 (* (pow im 4) (log (pow im 2))))) (* 12 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2))))))) (/ 1 (* (pow im 2) (log (pow im 2)))))))>
#<alt (+ (* -1 (log (log (pow im 2)))) (* (pow re 2) (- (* (pow re 2) (+ (* -1/720 (* (pow re 2) (+ (* 240 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 3)))) (+ (* 360 (/ 1 (* (pow im 6) (pow (log (pow im 2)) 2)))) (* 240 (/ 1 (* (pow im 6) (log (pow im 2))))))))) (* 1/24 (+ (* 12 (/ 1 (* (pow im 4) (log (pow im 2))))) (* 12 (/ 1 (* (pow im 4) (pow (log (pow im 2)) 2)))))))) (/ 1 (* (pow im 2) (log (pow im 2)))))))>
#<alt (* -1 (log (* -2 (log (/ 1 re)))))>
#<alt (+ (* -1 (log (* -2 (log (/ 1 re))))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))))>
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#<alt (+ (* -1 (log (* -2 (log (/ 1 re))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ 1 re)) 2))) (* 6 (/ (pow im 4) (log (/ 1 re))))) (pow re 4))) (+ (* -1/720 (/ (+ (* -120 (/ (pow im 6) (log (/ 1 re)))) (+ (* -30 (/ (pow im 6) (pow (log (/ 1 re)) 3))) (* 90 (/ (pow im 6) (pow (log (/ 1 re)) 2))))) (pow re 6))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ 1 re))))))))>
#<alt (* -1 (log (* -2 (log (/ -1 re)))))>
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#<alt (+ (* -1 (log (* -2 (log (/ -1 re))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log (/ -1 re)) 2))) (* 6 (/ (pow im 4) (log (/ -1 re))))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log (/ -1 re)))))))>
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#<alt (* -1 (log (log (pow re 2))))>
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#<alt (* -1 (log (* -2 (log (/ 1 im)))))>
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#<alt (* -1 (log (* -2 (log (/ -1 im)))))>
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#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (* -2 (log (/ -1 im)))>
#<alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>

Calls

111 calls:

Time	Variable		Point	Expression
76.0ms	base	@	0	(* (log (/ (log base) (log im))) -1)
30.0ms	base	@	-inf	(* (log (/ (log base) (log im))) -1)
27.0ms	re	@	inf	(* -1 (log (log (+ (* re re) (* im im)))))
23.0ms	im	@	-inf	(* (log (/ (log base) (log im))) -1)
21.0ms	base	@	inf	(* (log (/ (log base) (log im))) -1)

rewrite332.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2454×	`-lowering-.f32`
2454×	`-lowering-.f64`
1860×	`/-lowering-/.f32`
1860×	`/-lowering-/.f64`
1534×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	129
1	130	124
2	687	120
3	4978	120
0	8169	120

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 925

Calls

Call 1

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

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

simplify571.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

7046×	`-lowering-.f32`
7046×	`-lowering-.f64`
4472×	`+-lowering-+.f64`
4472×	`+-lowering-+.f32`
1790×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1005	8184
1	3201	7940
0	8741	7940

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
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Outputs
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(-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im))) (log.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))))
(+ (* -1 (log (* -2 (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im)))))))
(+.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im))) (log.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)))) (/.f64 (.f64 #s(literal -1/24 binary64) (+.f64 (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 6 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 4 binary64))))
(+ (* -1 (log (* -2 (log (/ -1 im))))) (+ (* -1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log (/ -1 im)) 2))) (* 6 (/ (pow re 4) (log (/ -1 im))))) (pow im 4))) (+ (* -1/720 (/ (+ (* -120 (/ (pow re 6) (log (/ -1 im)))) (+ (* -30 (/ (pow re 6) (pow (log (/ -1 im)) 3))) (* 90 (/ (pow re 6) (pow (log (/ -1 im)) 2))))) (pow im 6))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log (/ -1 im))))))))
(+.f64 (+.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im))) (log.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)))) (/.f64 (.f64 #s(literal -1/24 binary64) (+.f64 (/.f64 (.f64 #s(literal -3 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 6 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -1/720 binary64) (+.f64 (/.f64 (.f64 #s(literal -120 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))) (+.f64 (/.f64 (.f64 #s(literal -30 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 90 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))) (pow.f64 im #s(literal 6 binary64))))
(log (pow im 2))
(log.f64 (*.f64 im im))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (log.f64 (*.f64 im im)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+.f64 (log.f64 (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 re re)) (pow.f64 im #s(literal 4 binary64))))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(+.f64 (log.f64 (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 im im)) (.f64 (.f64 re re) (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 re re)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))))))))
(* -2 (log (/ 1 re)))
(neg.f64 (*.f64 (log.f64 re) #s(literal -2 binary64)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (.f64 im im) (.f64 re re)) (neg.f64 (*.f64 (log.f64 re) #s(literal -2 binary64))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+.f64 (/.f64 (.f64 im im) (.f64 re re)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))) (neg.f64 (.f64 (log.f64 re) #s(literal -2 binary64)))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(+.f64 (neg.f64 (.f64 (log.f64 re) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 im im) (.f64 re re)) (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(* -2 (log (/ -1 re)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (.f64 im im) (.f64 re re)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (.f64 im im) (.f64 re re)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(+.f64 (+.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (.f64 im im) (.f64 re re))) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))))
(log (pow re 2))
(log.f64 (*.f64 re re))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+.f64 (/.f64 (.f64 im im) (.f64 re re)) (log.f64 (*.f64 re re)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(+.f64 (log.f64 (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 im im)) (pow.f64 re #s(literal 4 binary64))))))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(+.f64 (log.f64 (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 re re)) (.f64 (.f64 im im) (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (.f64 im im)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))))))))
(* -2 (log (/ 1 im)))
(neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (neg.f64 (.f64 (log.f64 im) #s(literal -2 binary64)))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(+.f64 (neg.f64 (.f64 (log.f64 im) #s(literal -2 binary64))) (+.f64 (/.f64 (.f64 re re) (.f64 im im)) (+.f64 (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))))
(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+.f64 (/.f64 (.f64 re re) (.f64 im im)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(+.f64 (+.f64 (/.f64 (.f64 re re) (.f64 im im)) (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))))

eval304.0ms (2.9%)

Compiler: Compiled 41239 to 4716 computations (88.6% saved)

prune244.0ms (2.3%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1737	10	1747
Fresh	5	14	19
Picked	3	2	5
Done	0	4	4
Total	1745	30	1775

Accuracy

100.0%

Counts

1775 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.6%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	51.2%	(/.f64 (/.f64 (log.f64 (+.f64 (.f64 re re) (.f64 im im))) (log.f64 base)) #s(literal 2 binary64))
	51.2%	(/.f64 (/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (+.f64 (.f64 re re) (.f64 im im))))) #s(literal 2 binary64))
✓	99.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))) (log.f64 base))
	98.9%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
	22.9%	(/.f64 (+.f64 (log.f64 (+.f64 im re)) (log.f64 (/.f64 (-.f64 re im) (-.f64 (.f64 re (.f64 re (.f64 re re))) (.f64 im (.f64 im (.f64 im im))))))) (*.f64 (log.f64 base) #s(literal -2 binary64)))
	51.0%	(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (.f64 im im))) (log.f64 base))
✓	99.5%	(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
	50.8%	(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 (log.f64 base) #s(literal -2 binary64)))
	49.0%	(/.f64 (log.f64 im) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
	49.4%	(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓	99.1%	(/.f64 (log.f64 im) (log.f64 base))
	48.9%	(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
	75.6%	(/.f64 (exp.f64 (log.f64 (log.f64 im))) (log.f64 base))
	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	75.5%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 im))))))
✓	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
	98.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
	33.6%	(/.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (log.f64 (.f64 im im))))) (log.f64 base)))
	49.4%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
	49.4%	(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)) (log.f64 im))
	76.2%	(*.f64 (pow.f64 (log.f64 im) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (log.f64 im) #s(literal 1/2 binary64)) (log.f64 base)))
	51.1%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 base) (/.f64 #s(literal 2 binary64) (log.f64 (+.f64 (.f64 re re) (*.f64 im im))))))
	98.9%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 im)))
	98.9%	(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im))
	98.9%	(*.f64 (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
	98.9%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))) (log.f64 im))
✓	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 re im)))
✓	98.9%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
	46.6%	(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im)))))

Compiler

Compiled 1556 to 553 computations (64.5% saved)

regimes121.0ms (1.1%)

Counts

72 → 1

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	base
27.0ms	(log.f64 base)
21.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
21.0ms	re
20.0ms	im

Results

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

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes27.0ms (0.3%)

Accuracy

Total -31.1b remaining (-5260.8%)

Threshold costs -31.1b (-5260.8%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	im
7.0ms	(log.f64 base)
6.0ms	re
6.0ms	base

Results

Accuracy	Segments	Branch
99.1%	1	`re`
99.1%	1	`im`
99.1%	1	`base`
99.1%	1	`(log.f64 base)`

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness566.0ms (5.3%)

Rules

4444×	`-lowering-.f32`
4444×	`-lowering-.f64`
4084×	`-lowering-.f32`
4084×	`-lowering-.f64`
3660×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	362	4474
1	1118	4052
2	3850	4046
0	8102	4046
0	18	14
1	30	13
2	39	13
3	51	9
4	60	7
5	62	7
6	115	7
7	333	7
8	1449	7
9	2492	7
10	3773	7
11	4089	7
12	4559	7
13	5304	7
14	6351	7
15	7658	7
0	8017	7

Stop Event

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

Compiler

Compiled 43 to 29 computations (32.6% saved)

preprocess51.0ms (0.5%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 212 to 138 computations (34.9% saved)

analyze264.0ms (2.5%)

sample1.7s (16%)

preprocess235.0ms (2.2%)

explain197.0ms (1.8%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify202.0ms (1.9%)

localize126.0ms (1.2%)

series101.0ms (0.9%)

rewrite322.0ms (3%)

simplify437.0ms (4.1%)

eval153.0ms (1.4%)

prune172.0ms (1.6%)

simplify299.0ms (2.8%)

localize165.0ms (1.5%)

series165.0ms (1.5%)

rewrite321.0ms (3%)

simplify380.0ms (3.6%)

eval380.0ms (3.6%)

prune325.0ms (3%)

simplify395.0ms (3.7%)

localize162.0ms (1.5%)

series51.0ms (0.5%)

rewrite411.0ms (3.9%)

simplify414.0ms (3.9%)

eval271.0ms (2.5%)

prune268.0ms (2.5%)

simplify65.0ms (0.6%)

localize204.0ms (1.9%)

series245.0ms (2.3%)

rewrite332.0ms (3.1%)

simplify571.0ms (5.4%)

eval304.0ms (2.9%)

prune244.0ms (2.3%)

regimes121.0ms (1.1%)

regimes27.0ms (0.3%)

simplify7.0ms (0.1%)

soundness566.0ms (5.3%)

preprocess51.0ms (0.5%)

end0.0ms (0%)

Profiling