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

start0.0ms (0%)

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

analyze244.0ms (2.5%)

Memory

8.5MiB live, 257.9MiB allocated; 49ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.7s (18%)

Memory

75.3MiB live, 2 809.5MiB allocated; 502ms collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 885.0ms

ival-hypot: 253.0ms (28.6% of total)

ival-log: 178.0ms (20.1% of total)

ival-mult: 170.0ms (19.2% of total)

ival-add: 105.0ms (11.9% of total)

ival-div: 91.0ms (10.3% of total)

ival-atan2: 70.0ms (7.9% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.6% of total)

adjust: 3.0ms (0.3% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain360.0ms (3.7%)

Memory

-38.4MiB live, 510.4MiB allocated; 156ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
138	-	3	(1.1488039289984235e-161 -2.87127552994508e-186 8.633372138775592e+186)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
0	-	0	-	`(log.f64 base)`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(atan2.f64 im re)`
0	-	0	-	`im`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`re`
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	-	`(/.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	-	`#s(literal 0 binary64)`
0	-	0	-	`(*.f64 (atan2.f64 im re) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))`
0	-	0	-	`(*.f64 (log.f64 base) (log.f64 base))`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`base`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	oflow-rescue	123	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	123
↳	`(*.f64 re re)`	overflow	61
↳	`(*.f64 im im)`	overflow	80
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	12	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	12
↳	`(*.f64 re re)`	underflow	62
↳	`(*.f64 im im)`	underflow	49

Confusion

	Predicted +	Predicted -
+	135	2
-	0	119

Precision

1.0

Recall

0.9854014598540146

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	2
-	0	0	119

Precision?

1.0

Recall?

0.9854014598540146

Freqs

test

number	freq
0	121
1	135

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

101.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

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

ival-mult: 40.0ms (51.1% of total)

ival-log: 11.0ms (14.1% of total)

ival-add: 9.0ms (11.5% of total)

ival-hypot: 9.0ms (11.5% of total)

ival-atan2: 4.0ms (5.1% of total)

ival-div: 3.0ms (3.8% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess276.0ms (2.8%)

Memory

23.2MiB live, 250.5MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	189
1	214	171
2	625	128
3	1578	113
4	3124	113
5	6399	113
0	18	26
0	34	20
1	64	18
2	169	14
3	403	12
4	768	12
5	1742	12
6	3653	12
7	4449	12
8	4935	12
9	4954	12
10	4961	12
11	6898	12
12	7336	12
13	7354	12
14	7354	12
15	7354	12
16	7674	12
0	8866	7

Stop Event

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

Calls

Call 1

Inputs

(/.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))))

Outputs

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

Symmetry

(abs im)

(abs re)

(sort re im)

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.3%	(/.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))))

Status

Accuracy

Program

▶

48.3%

(/.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))))

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify253.0ms (2.6%)

Memory

-32.3MiB live, 253.0MiB allocated; 55ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	2	(+.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	4	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
cost-diff	4	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
cost-diff	6	(/.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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	95
1	64	93
2	169	89
3	403	87
4	768	87
5	1742	87
6	3653	87
7	4449	87
8	4935	87
9	4954	87
10	4961	87
11	6898	87
12	7336	87
13	7354	87
14	7354	87
15	7354	87
16	7674	87
0	8866	61

Stop Event

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

Calls

Call 1

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

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

localize57.0ms (0.6%)

Memory

21.4MiB live, 122.3MiB allocated; 15ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3366012695368841	(/.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	0.37890625	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy	0.532577539073768	(*.f64 (log.f64 base) (log.f64 base))
accuracy	31.56993702026028	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

45.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-log: 12.0ms (35.7% of total)

ival-mult: 7.0ms (20.8% of total)

ival-add: 6.0ms (17.9% of total)

ival-hypot: 4.0ms (11.9% of total)

ival-div: 2.0ms (6% of total)

ival-atan2: 2.0ms (6% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series266.0ms (2.7%)

Memory

-1.2MiB live, 375.0MiB allocated; 39ms collecting garbage

Counts

6 → 80

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
125.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
59.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
43.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
24.0ms	re	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
3.0ms	im	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))

simplify259.0ms (2.7%)

Memory

30.4MiB live, 305.9MiB allocated; 63ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1777
1	930	1774
2	3622	1662
0	8312	1538

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 78

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

rewrite118.0ms (1.2%)

Memory

-27.3MiB live, 264.4MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
0	34	56
1	121	54
2	909	51
0	9422	31

Stop Event

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

Counts

6 → 485

Calls

Call 1

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

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

eval72.0ms (0.7%)

Memory: 26.9MiB live, 255.6MiB allocated; 29ms collecting garbage
Compiler: Compiled 15 594 to 1 399 computations (91% saved)

prune67.0ms (0.7%)

Memory

-21.3MiB live, 133.9MiB allocated; 30ms collecting garbage

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	466	23	489
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	467	23	490

Accuracy

100.0%

Counts

490 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.4%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
	48.2%	(/.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 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	48.3%	(/.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 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	48.3%	(/.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 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	48.3%	(/.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	25.1%	(/.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 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.1%	(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.2%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
▶	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.5%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.8%	(.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.2%	(.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.2%	(.f64 (/.f64 (log.f64 (hypot.f64 im re)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.8%	(.f64 (.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.1%	(.f64 (.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	99.3%	(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.2%	(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	92.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) (log.f64 im)) (log.f64 base)))
▶	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
▶	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

Compiler

Compiled 1 172 to 778 computations (33.6% saved)

simplify159.0ms (1.6%)

Memory

34.5MiB live, 308.9MiB allocated; 24ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	2	(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
cost-diff	2	(.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64))
cost-diff	6	(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
cost-diff	7	(/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
cost-diff	0	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
cost-diff	3	(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
cost-diff	2	(+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
cost-diff	2	(+.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	4	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
cost-diff	4	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
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	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
cost-diff	0	(hypot.f64 im re)
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	0	(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	369
0	93	269
1	156	263
2	351	249
3	1024	245
4	5173	245
0	8800	244

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(/.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.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 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(atan2.f64 im re)
#s(literal 0 binary64)
(+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 base)
base
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 binary64)
(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
#s(literal 2 binary64)
(log.f64 base)
base
#s(literal 1 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(log.f64 base)
base
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
im
(log.f64 base)
base
(/.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (log.f64 base) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (log.f64 (hypot.f64 im re)))
(+.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 (log.f64 base) (log.f64 (hypot.f64 im re)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (hypot.f64 im re))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(hypot.f64 im re)
(+.f64 (.f64 re re) (.f64 im im))
(fma.f64 im im (*.f64 re re))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
#s(literal 0 binary64)
(atan2.f64 im re)
#s(literal 0 binary64)
(+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (log.f64 (hypot.f64 im re)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 base)
base
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 6 binary64))
#s(literal 6 binary64)
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 binary64)
(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
#s(literal 2 binary64)
(log.f64 base)
base
#s(literal 1 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)

localize201.0ms (2.1%)

Memory

-7.5MiB live, 283.0MiB allocated; 29ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3828125	(/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re)))
accuracy	0.3991012695368841	(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base))
accuracy	0.47236254884221013	(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))
accuracy	0.532577539073768	(*.f64 (log.f64 base) (log.f64 base))
accuracy	0.3756637695368841	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
accuracy	0.37890625	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
accuracy	1.2103373281450147	(pow.f64 (log.f64 base) #s(literal 6 binary64))
accuracy	1.5303616165173126	(pow.f64 (log.f64 base) #s(literal 8 binary64))
accuracy	0.3366012695368841	(/.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy	0.37890625	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy	0.9786419435593842	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	31.56993702026028	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
accuracy	0.0	(log.f64 im)
accuracy	0.0	(log.f64 base)
accuracy	0.34212875976844204	(/.f64 (log.f64 im) (log.f64 base))
accuracy	0.44713706717379365	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
accuracy	0.0	(log.f64 (hypot.f64 im re))
accuracy	0.0	(log.f64 base)
accuracy	0.0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
accuracy	0.33431625976844204	(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

Samples

137.0ms

256×

valid

Compiler

Compiled 463 to 44 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-log: 51.0ms (47.6% of total)

ival-mult: 15.0ms (14% of total)

ival-div: 10.0ms (9.3% of total)

ival-pow: 10.0ms (9.3% of total)

ival-hypot: 8.0ms (7.5% of total)

ival-add: 5.0ms (4.7% of total)

ival-pow2: 3.0ms (2.8% of total)

ival-atan2: 2.0ms (1.9% of total)

ival-sqrt: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series453.0ms (4.7%)

Memory

-5.6MiB live, 389.4MiB allocated; 164ms collecting garbage

Counts

27 → 198

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(log.f64 base)
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(+.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re)))
(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64))
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (log.f64 base) #s(literal 8 binary64))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base))

Outputs
(/ (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)))
(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))))))
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)))))
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))))))))
(* (pow (log base) 7) (log im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))) (* (pow (log base) 7) (log im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 7)) (pow im 4))) (* 1/2 (/ (pow (log base) 7) (pow im 2))))) (* (pow (log base) 7) (log im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 7) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 7) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 7)) (pow im 6))))))) (* (pow (log base) 7) (log im)))
(pow (log im) 2)
(+ (/ (* (pow re 2) (log im)) (pow im 2)) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (+ (* 1/4 (/ 1 (pow im 4))) (* (pow re 2) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(* (log base) (pow (log im) 2))
(+ (* (log base) (pow (log im) 2)) (/ (* (pow re 2) (* (log base) (log im))) (pow im 2)))
(+ (* (log base) (pow (log im) 2)) (* (pow re 2) (+ (* (pow re 2) (* (log base) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))) (/ (* (log base) (log im)) (pow im 2)))))
(+ (* (log base) (pow (log im) 2)) (* (pow re 2) (+ (* (pow re 2) (+ (* (log base) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))) (* (pow re 2) (* (log base) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))) (/ (* (log base) (log im)) (pow im 2)))))
(* -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)))
(+ (* -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))))))
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 (* (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 (* (pow (log base) 7) (log (/ 1 re))))
(+ (* -1 (* (pow (log base) 7) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2))))
(+ (* -1 (* (pow (log base) 7) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 7)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 7) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 7)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 7) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2))))))
(pow (log (/ 1 re)) 2)
(+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (pow (log (/ 1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ 1 re))) (pow re 4))) (pow (log (/ 1 re)) 2))))
(+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (+ (* -1/4 (/ (pow im 6) (pow re 6))) (+ (* -1/360 (/ (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ 1 re))) (pow re 4))) (pow (log (/ 1 re)) 2))))))
(* (log base) (pow (log (/ 1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (* (log base) (log (/ 1 re)))) (pow re 2))) (* (log base) (pow (log (/ 1 re)) 2)))
(+ (* -1 (/ (* (pow im 2) (* (log base) (log (/ 1 re)))) (pow re 2))) (+ (* (log base) (pow (log (/ 1 re)) 2)) (/ (* (log base) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re)))))) (pow re 4))))
(+ (* -1 (/ (* (pow im 2) (* (log base) (log (/ 1 re)))) (pow re 2))) (+ (* (log base) (pow (log (/ 1 re)) 2)) (+ (/ (* (log base) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))))) (pow re 6)) (/ (* (log base) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re)))))) (pow re 4)))))
(* -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)))
(+ (* -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 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))))))))
(* -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 (* (pow (log base) 7) (log (/ -1 re))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 7)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 7)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 7) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2))))))
(pow (log (/ -1 re)) 2)
(+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (pow (log (/ -1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ -1 re))) (pow re 4))) (pow (log (/ -1 re)) 2))))
(+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (+ (* -1/4 (/ (pow im 6) (pow re 6))) (+ (* -1/360 (/ (* (log (/ -1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ -1 re))) (pow re 4))) (pow (log (/ -1 re)) 2))))))
(* (log base) (pow (log (/ -1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (* (log base) (log (/ -1 re)))) (pow re 2))) (* (log base) (pow (log (/ -1 re)) 2)))
(+ (* -1 (/ (* (pow im 2) (* (log base) (log (/ -1 re)))) (pow re 2))) (+ (* (log base) (pow (log (/ -1 re)) 2)) (/ (* (log base) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re)))))) (pow re 4))))
(+ (* -1 (/ (* (pow im 2) (* (log base) (log (/ -1 re)))) (pow re 2))) (+ (* (log base) (pow (log (/ -1 re)) 2)) (+ (/ (* (log base) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ -1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))))) (pow re 6)) (/ (* (log base) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re)))))) (pow re 4)))))
(/ (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)))
(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))))))
(+ 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)))))
(* (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))))))))
(* (pow (log base) 7) (log re))
(+ (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2))) (* (pow (log base) 7) (log re)))
(+ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 7)) (pow re 4))) (* 1/2 (/ (pow (log base) 7) (pow re 2))))) (* (pow (log base) 7) (log re)))
(+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 7) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 7) (pow re 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 7)) (pow re 6))))))) (* (pow (log base) 7) (log re)))
(pow (log re) 2)
(+ (/ (* (pow im 2) (log re)) (pow re 2)) (pow (log re) 2))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4))))) (/ (log re) (pow re 2)))) (pow (log re) 2))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log re) (pow re 4))) (+ (* 1/4 (/ 1 (pow re 4))) (* (pow im 2) (- (* 1/3 (/ (log re) (pow re 6))) (* 1/4 (/ 1 (pow re 6)))))))) (/ (log re) (pow re 2)))) (pow (log re) 2))
(* (log base) (pow (log re) 2))
(+ (* (log base) (pow (log re) 2)) (/ (* (pow im 2) (* (log base) (log re))) (pow re 2)))
(+ (* (log base) (pow (log re) 2)) (* (pow im 2) (+ (* (pow im 2) (* (log base) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4)))))) (/ (* (log base) (log re)) (pow re 2)))))
(+ (* (log base) (pow (log re) 2)) (* (pow im 2) (+ (* (pow im 2) (+ (* (log base) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4))))) (* (pow im 2) (* (log base) (- (* 1/3 (/ (log re) (pow re 6))) (* 1/4 (/ 1 (pow re 6)))))))) (/ (* (log base) (log re)) (pow re 2)))))
(* -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)))
(+ (* -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 (+ 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 (* (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 (* (pow (log base) 7) (log (/ 1 im))))
(+ (* -1 (* (pow (log base) 7) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))))
(+ (* -1 (* (pow (log base) 7) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 7)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 7) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 7)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 7) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))))))
(pow (log (/ 1 im)) 2)
(+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (pow (log (/ 1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ 1 im))) (pow im 4))) (pow (log (/ 1 im)) 2))))
(+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ 1 im))) (pow im 4))) (pow (log (/ 1 im)) 2))))))
(* (log base) (pow (log (/ 1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ 1 im)))) (pow im 2))) (* (log base) (pow (log (/ 1 im)) 2)))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ 1 im)))) (pow im 2))) (+ (* (log base) (pow (log (/ 1 im)) 2)) (/ (* (log base) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im)))))) (pow im 4))))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ 1 im)))) (pow im 2))) (+ (* (log base) (pow (log (/ 1 im)) 2)) (+ (/ (* (log base) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (log base) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im)))))) (pow im 4)))))
(* -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)))
(+ (* -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 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 -1) (* -1 (log (/ -1 im)))) (log base))
(+ (log -1) (* -1 (log (/ -1 im))))
(* -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 (* (pow (log base) 7) (log (/ -1 im))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 7)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 7)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 7) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))))))
(pow (log (/ -1 im)) 2)
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (pow (log (/ -1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))))
(* (log base) (pow (log (/ -1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ -1 im)))) (pow im 2))) (* (log base) (pow (log (/ -1 im)) 2)))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ -1 im)))) (pow im 2))) (+ (* (log base) (pow (log (/ -1 im)) 2)) (/ (* (log base) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im)))))) (pow im 4))))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ -1 im)))) (pow im 2))) (+ (* (log base) (pow (log (/ -1 im)) 2)) (+ (/ (* (log base) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (log base) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im)))))) (pow im 4)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(log base)
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 2)
(* (pow (log base) 7) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 4)
(pow (log base) 8)
(pow (log base) 6)
(* (log base) (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(pow (log (/ 1 base)) 2)
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 7)))
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 8)
(pow (log (/ 1 base)) 6)
(* -1 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 7))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (+ (log -1) (* -1 (log (/ -1 base)))))

Calls

9 calls:

Time	Variable		Point	Expression
124.0ms	im	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (pow (log base) 8)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) (/ (* (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) 1) (+ (* (log base) (log base)) (* 0 0))) (* (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) 1) (+ (* (log base) (log base)) (* 0 0)) (pow (log base) 4) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 8) (pow (log base) 6) (* (log base) (log base)) (pow (log (sqrt (+ (* im im) (* re re)))) 2) (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)))
110.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (pow (log base) 8)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) (/ (* (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) 1) (+ (* (log base) (log base)) (* 0 0))) (* (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) 1) (+ (* (log base) (log base)) (* 0 0)) (pow (log base) 4) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 8) (pow (log base) 6) (* (log base) (log base)) (pow (log (sqrt (+ (* im im) (* re re)))) 2) (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)))
54.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (pow (log base) 8)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) (/ (* (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) 1) (+ (* (log base) (log base)) (* 0 0))) (* (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) 1) (+ (* (log base) (log base)) (* 0 0)) (pow (log base) 4) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 8) (pow (log base) 6) (* (log base) (log base)) (pow (log (sqrt (+ (* im im) (* re re)))) 2) (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)))
53.0ms	im	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (pow (log base) 8)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) (/ (* (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) 1) (+ (* (log base) (log base)) (* 0 0))) (* (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) 1) (+ (* (log base) (log base)) (* 0 0)) (pow (log base) 4) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 8) (pow (log base) 6) (* (log base) (log base)) (pow (log (sqrt (+ (* im im) (* re re)))) 2) (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)))
47.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (pow (log base) 8)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) (/ (* (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) 1) (+ (* (log base) (log base)) (* 0 0))) (* (/ (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)) (log (sqrt (+ (* im im) (* re re))))) 1) (+ (* (log base) (log base)) (* 0 0)) (pow (log base) 4) (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (pow (log base) 8) (pow (log base) 6) (* (log base) (log base)) (pow (log (sqrt (+ (* im im) (* re re)))) 2) (* (pow (log (sqrt (+ (* im im) (* re re)))) 2) (log base)))

simplify170.0ms (1.8%)

Memory

5.2MiB live, 237.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	703	4851
1	2253	4631
2	7900	4631
0	8008	4311

Stop Event

1×	iter limit
1×	node limit

Counts

198 → 196

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)))
(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))))))
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)))))
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))))))))
(* (pow (log base) 7) (log im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))) (* (pow (log base) 7) (log im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 7)) (pow im 4))) (* 1/2 (/ (pow (log base) 7) (pow im 2))))) (* (pow (log base) 7) (log im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 7) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 7) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 7)) (pow im 6))))))) (* (pow (log base) 7) (log im)))
(pow (log im) 2)
(+ (/ (* (pow re 2) (log im)) (pow im 2)) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (+ (* 1/4 (/ 1 (pow im 4))) (* (pow re 2) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(* (log base) (pow (log im) 2))
(+ (* (log base) (pow (log im) 2)) (/ (* (pow re 2) (* (log base) (log im))) (pow im 2)))
(+ (* (log base) (pow (log im) 2)) (* (pow re 2) (+ (* (pow re 2) (* (log base) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))) (/ (* (log base) (log im)) (pow im 2)))))
(+ (* (log base) (pow (log im) 2)) (* (pow re 2) (+ (* (pow re 2) (+ (* (log base) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))) (* (pow re 2) (* (log base) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))) (/ (* (log base) (log im)) (pow im 2)))))
(* -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)))
(+ (* -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))))))
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 (* (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 (* (pow (log base) 7) (log (/ 1 re))))
(+ (* -1 (* (pow (log base) 7) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2))))
(+ (* -1 (* (pow (log base) 7) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 7)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 7) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 7)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 7) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2))))))
(pow (log (/ 1 re)) 2)
(+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (pow (log (/ 1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ 1 re))) (pow re 4))) (pow (log (/ 1 re)) 2))))
(+ (* -1 (/ (* (pow im 2) (log (/ 1 re))) (pow re 2))) (+ (* -1/4 (/ (pow im 6) (pow re 6))) (+ (* -1/360 (/ (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ 1 re))) (pow re 4))) (pow (log (/ 1 re)) 2))))))
(* (log base) (pow (log (/ 1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (* (log base) (log (/ 1 re)))) (pow re 2))) (* (log base) (pow (log (/ 1 re)) 2)))
(+ (* -1 (/ (* (pow im 2) (* (log base) (log (/ 1 re)))) (pow re 2))) (+ (* (log base) (pow (log (/ 1 re)) 2)) (/ (* (log base) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re)))))) (pow re 4))))
(+ (* -1 (/ (* (pow im 2) (* (log base) (log (/ 1 re)))) (pow re 2))) (+ (* (log base) (pow (log (/ 1 re)) 2)) (+ (/ (* (log base) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))))) (pow re 6)) (/ (* (log base) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re)))))) (pow re 4)))))
(* -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)))
(+ (* -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 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))))))))
(* -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 (* (pow (log base) 7) (log (/ -1 re))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 7)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 7)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 7) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2))))))
(pow (log (/ -1 re)) 2)
(+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (pow (log (/ -1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ -1 re))) (pow re 4))) (pow (log (/ -1 re)) 2))))
(+ (* -1 (/ (* (pow im 2) (log (/ -1 re))) (pow re 2))) (+ (* -1/4 (/ (pow im 6) (pow re 6))) (+ (* -1/360 (/ (* (log (/ -1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (+ (* 1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/2 (/ (* (pow im 4) (log (/ -1 re))) (pow re 4))) (pow (log (/ -1 re)) 2))))))
(* (log base) (pow (log (/ -1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (* (log base) (log (/ -1 re)))) (pow re 2))) (* (log base) (pow (log (/ -1 re)) 2)))
(+ (* -1 (/ (* (pow im 2) (* (log base) (log (/ -1 re)))) (pow re 2))) (+ (* (log base) (pow (log (/ -1 re)) 2)) (/ (* (log base) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re)))))) (pow re 4))))
(+ (* -1 (/ (* (pow im 2) (* (log base) (log (/ -1 re)))) (pow re 2))) (+ (* (log base) (pow (log (/ -1 re)) 2)) (+ (/ (* (log base) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ -1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))))) (pow re 6)) (/ (* (log base) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re)))))) (pow re 4)))))
(/ (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)))
(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))))))
(+ 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)))))
(* (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))))))))
(* (pow (log base) 7) (log re))
(+ (* 1/2 (/ (* (pow im 2) (pow (log base) 7)) (pow re 2))) (* (pow (log base) 7) (log re)))
(+ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 7)) (pow re 4))) (* 1/2 (/ (pow (log base) 7) (pow re 2))))) (* (pow (log base) 7) (log re)))
(+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 7) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 7) (pow re 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 7)) (pow re 6))))))) (* (pow (log base) 7) (log re)))
(pow (log re) 2)
(+ (/ (* (pow im 2) (log re)) (pow re 2)) (pow (log re) 2))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4))))) (/ (log re) (pow re 2)))) (pow (log re) 2))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* -1/2 (/ (log re) (pow re 4))) (+ (* 1/4 (/ 1 (pow re 4))) (* (pow im 2) (- (* 1/3 (/ (log re) (pow re 6))) (* 1/4 (/ 1 (pow re 6)))))))) (/ (log re) (pow re 2)))) (pow (log re) 2))
(* (log base) (pow (log re) 2))
(+ (* (log base) (pow (log re) 2)) (/ (* (pow im 2) (* (log base) (log re))) (pow re 2)))
(+ (* (log base) (pow (log re) 2)) (* (pow im 2) (+ (* (pow im 2) (* (log base) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4)))))) (/ (* (log base) (log re)) (pow re 2)))))
(+ (* (log base) (pow (log re) 2)) (* (pow im 2) (+ (* (pow im 2) (+ (* (log base) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4))))) (* (pow im 2) (* (log base) (- (* 1/3 (/ (log re) (pow re 6))) (* 1/4 (/ 1 (pow re 6)))))))) (/ (* (log base) (log re)) (pow re 2)))))
(* -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)))
(+ (* -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 (+ 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 (* (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 (* (pow (log base) 7) (log (/ 1 im))))
(+ (* -1 (* (pow (log base) 7) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))))
(+ (* -1 (* (pow (log base) 7) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 7)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 7) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 7)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 7) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))))))
(pow (log (/ 1 im)) 2)
(+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (pow (log (/ 1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ 1 im))) (pow im 4))) (pow (log (/ 1 im)) 2))))
(+ (* -1 (/ (* (pow re 2) (log (/ 1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ 1 im))) (pow im 4))) (pow (log (/ 1 im)) 2))))))
(* (log base) (pow (log (/ 1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ 1 im)))) (pow im 2))) (* (log base) (pow (log (/ 1 im)) 2)))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ 1 im)))) (pow im 2))) (+ (* (log base) (pow (log (/ 1 im)) 2)) (/ (* (log base) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im)))))) (pow im 4))))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ 1 im)))) (pow im 2))) (+ (* (log base) (pow (log (/ 1 im)) 2)) (+ (/ (* (log base) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (log base) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im)))))) (pow im 4)))))
(* -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)))
(+ (* -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 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 -1) (* -1 (log (/ -1 im)))) (log base))
(+ (log -1) (* -1 (log (/ -1 im))))
(* -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 (* (pow (log base) 7) (log (/ -1 im))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 7)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 7)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 7) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))))))
(pow (log (/ -1 im)) 2)
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (pow (log (/ -1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))))
(* (log base) (pow (log (/ -1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ -1 im)))) (pow im 2))) (* (log base) (pow (log (/ -1 im)) 2)))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ -1 im)))) (pow im 2))) (+ (* (log base) (pow (log (/ -1 im)) 2)) (/ (* (log base) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im)))))) (pow im 4))))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ -1 im)))) (pow im 2))) (+ (* (log base) (pow (log (/ -1 im)) 2)) (+ (/ (* (log base) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (log base) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im)))))) (pow im 4)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(log base)
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 2)
(* (pow (log base) 7) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 4)
(pow (log base) 8)
(pow (log base) 6)
(* (log base) (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(pow (log (/ 1 base)) 2)
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 7)))
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 8)
(pow (log (/ 1 base)) 6)
(* -1 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 7))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 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)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.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)))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 im im))) (*.f64 re re) (/.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)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 re re) (log.f64 base)) (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 base))) (.f64 re re) (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 im im))) (.f64 re re) (/.f64 (log.f64 im) (log.f64 base)))
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 re re) (log.f64 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))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (.f64 re re) (log.f64 im))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) im)) (.f64 re re) 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)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) im)) (*.f64 re re) im)
0
#s(literal 0 binary64)
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (log.f64 base) im))) (.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (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))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (log.f64 base) im))) (.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(* (pow (log base) 7) (log im))
(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (log.f64 im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))) (* (pow (log base) 7) (log im)))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) im) im) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (log.f64 im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 7)) (pow im 4))) (* 1/2 (/ (pow (log base) 7) (pow im 2))))) (* (pow (log base) 7) (log im)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) im))) (.f64 re re) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (log.f64 im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 7) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 7) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 7)) (pow im 6))))))) (* (pow (log base) 7) (log im)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) im))) (.f64 re re) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (log.f64 im)))
(pow (log im) 2)
(pow.f64 (log.f64 im) #s(literal 2 binary64))
(+ (/ (* (pow re 2) (log im)) (pow im 2)) (pow (log im) 2))
(fma.f64 (/.f64 (log.f64 im) im) (/.f64 (*.f64 re re) im) (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 im) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 re re) (/.f64 (/.f64 (log.f64 im) im) im)) (.f64 re re) (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* -1/2 (/ (log im) (pow im 4))) (+ (* 1/4 (/ 1 (pow im 4))) (* (pow re 2) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))) (/ (log im) (pow im 2)))) (pow (log im) 2))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (log.f64 im) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 6 binary64)))) (.f64 re re) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 im) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (/.f64 (/.f64 (log.f64 im) im) im)) (*.f64 re re) (pow.f64 (log.f64 im) #s(literal 2 binary64)))
(* (log base) (pow (log im) 2))
(*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (log.f64 base))
(+ (* (log base) (pow (log im) 2)) (/ (* (pow re 2) (* (log base) (log im))) (pow im 2)))
(fma.f64 (.f64 (/.f64 (log.f64 im) im) (/.f64 (log.f64 base) im)) (.f64 re re) (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (log.f64 base)))
(+ (* (log base) (pow (log im) 2)) (* (pow re 2) (+ (* (pow re 2) (* (log base) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))) (/ (* (log base) (log im)) (pow im 2)))))
(fma.f64 (fma.f64 (/.f64 (log.f64 im) im) (/.f64 (log.f64 base) im) (.f64 (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 im) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 4 binary64))) (log.f64 base)) (.f64 re re))) (.f64 re re) (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (log.f64 base)))
(+ (* (log base) (pow (log im) 2)) (* (pow re 2) (+ (* (pow re 2) (+ (* (log base) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))) (* (pow re 2) (* (log base) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))) (/ (* (log base) (log im)) (pow im 2)))))
(fma.f64 (fma.f64 (/.f64 (log.f64 im) im) (/.f64 (log.f64 base) im) (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (log.f64 im) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 6 binary64)))) (log.f64 base)) (.f64 re re) (.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 im) #s(literal 1/4 binary64)) (pow.f64 im #s(literal 4 binary64))) (log.f64 base))) (.f64 re re))) (.f64 re re) (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (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)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 im re) (/.f64 im re)) (/.f64 (log.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))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 im re) (/.f64 im re)) (fma.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 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 (fma.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 120 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64)) (.f64 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 (/.f64 im re) (/.f64 im re)) (/.f64 (log.f64 re) (log.f64 base))))
(* -1 (log (/ 1 re)))
(log.f64 re)
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 re re)) im) im (log.f64 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 base) (pow (log (/ 1 im)) 2))
(*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (log.f64 base))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ 1 im)))) (pow im 2))) (* (log base) (pow (log (/ 1 im)) 2)))
(fma.f64 (.f64 (/.f64 (log.f64 im) im) (/.f64 (log.f64 base) im)) (.f64 re re) (*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (log.f64 base)))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ 1 im)))) (pow im 2))) (+ (* (log base) (pow (log (/ 1 im)) 2)) (/ (* (log base) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im)))))) (pow im 4))))
(fma.f64 (.f64 (/.f64 (log.f64 im) im) (/.f64 (log.f64 base) im)) (.f64 re re) (.f64 (log.f64 base) (fma.f64 (log.f64 im) (log.f64 im) (/.f64 (fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2 binary64)) (neg.f64 (log.f64 im)) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ 1 im)))) (pow im 2))) (+ (* (log base) (pow (log (/ 1 im)) 2)) (+ (/ (* (log base) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (log base) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im)))))) (pow im 4)))))
(fma.f64 (.f64 (/.f64 (log.f64 im) im) (/.f64 (log.f64 base) im)) (.f64 re re) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/360 binary64) (.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (neg.f64 (log.f64 im)) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 6 binary64))) (log.f64 base) (.f64 (log.f64 base) (fma.f64 (log.f64 im) (log.f64 im) (/.f64 (fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2 binary64)) (neg.f64 (log.f64 im)) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 4 binary64)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (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))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (*.f64 (/.f64 re im) (/.f64 re im)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (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)))))))
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 (/.f64 re im) (/.f64 re im)) (fma.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 base)) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 (.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/720 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base))))))
(* -1 (log (/ -1 im)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (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)))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/720 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (neg.f64 im) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) re) re (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 im #s(literal 4 binary64))))) im im))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (neg.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))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (*.f64 (neg.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)))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -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))))))
(fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))))
(* -1 (* (pow (log base) 7) (log (/ -1 im))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) im) im) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 7)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2)))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) im) im) (fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -1 (* (pow (log base) 7) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 7)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 7) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 7)) (pow im 2))))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 (log.f64 base) #s(literal 7 binary64))) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) im) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 im #s(literal 4 binary64)))))))
(pow (log (/ -1 im)) 2)
(pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (pow (log (/ -1 im)) 2))
(fma.f64 (.f64 (neg.f64 re) re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im)) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))
(fma.f64 (.f64 (neg.f64 re) re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im)) (+.f64 (/.f64 (fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))))
(+ (* -1 (/ (* (pow re 2) (log (/ -1 im))) (pow im 2))) (+ (* -1/4 (/ (pow re 6) (pow im 6))) (+ (* -1/360 (/ (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (+ (* 1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/2 (/ (* (pow re 4) (log (/ -1 im))) (pow im 4))) (pow (log (/ -1 im)) 2))))))
(fma.f64 (.f64 (neg.f64 re) re) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 im im)) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/360 binary64) (.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 6 binary64))) (+.f64 (/.f64 (fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)))))
(* (log base) (pow (log (/ -1 im)) 2))
(*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (log.f64 base))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ -1 im)))) (pow im 2))) (* (log base) (pow (log (/ -1 im)) 2)))
(fma.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (log.f64 base) (/.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 re re)) (log.f64 base)) (.f64 (neg.f64 im) im)))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ -1 im)))) (pow im 2))) (+ (* (log base) (pow (log (/ -1 im)) 2)) (/ (* (log base) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im)))))) (pow im 4))))
(fma.f64 (log.f64 base) (+.f64 (/.f64 (fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 re re)) (log.f64 base)) (.f64 (neg.f64 im) im)))
(+ (* -1 (/ (* (pow re 2) (* (log base) (log (/ -1 im)))) (pow im 2))) (+ (* (log base) (pow (log (/ -1 im)) 2)) (+ (/ (* (log base) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (log base) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im)))))) (pow im 4)))))
(fma.f64 (.f64 (neg.f64 re) re) (/.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)) (.f64 im im)) (fma.f64 (log.f64 base) (+.f64 (/.f64 (fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -1/360 binary64) (.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (*.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/4 binary64))) (log.f64 base)) (pow.f64 im #s(literal 6 binary64)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log base)
(log.f64 base)
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* (pow (log base) 7) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 7 binary64)))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 8)
(pow.f64 (log.f64 base) #s(literal 8 binary64))
(pow (log base) 6)
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(* (log base) (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (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 im) (log (/ 1 base))))
(/.f64 (log.f64 im) (log.f64 base))
(* -1 (log (/ 1 base)))
(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))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 7)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 7 binary64))) (log.f64 (hypot.f64 im re)))
(pow (log (/ 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 8)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 8 binary64))
(pow (log (/ 1 base)) 6)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 6 binary64))
(* -1 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (log (/ 1 base))))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (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 im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 im) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(* (log (sqrt (+ (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 (hypot.f64 im re)))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 7))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 7 binary64)) (log.f64 (hypot.f64 im re)))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 8 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 6)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 6 binary64))
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)))

rewrite289.0ms (3%)

Memory

12.3MiB live, 238.0MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	294
0	93	206
1	263	187
2	1485	184
0	8990	184

Stop Event

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

Counts

27 → 2 800

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (log.f64 im) (log.f64 base))
(log.f64 im)
(log.f64 base)
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
(+.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re)))
(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64))
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(/.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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (log.f64 base) #s(literal 8 binary64))
(pow.f64 (log.f64 base) #s(literal 6 binary64))
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base))

Outputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 im re))))) (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 im re)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (neg.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base))
(/.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(neg.f64 (/.f64 (log.f64 (hypot.f64 im re)) (neg.f64 (log.f64 base))))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 im re)))) (neg.f64 (sqrt.f64 (log.f64 (hypot.f64 im re)))))
(*.f64 (fabs.f64 (sqrt.f64 (log.f64 (hypot.f64 im re)))) (fabs.f64 (sqrt.f64 (log.f64 (hypot.f64 im re)))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) (sqrt.f64 (log.f64 (hypot.f64 im re))))
(.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (fabs.f64 (log.f64 (fma.f64 im im (.f64 re re)))))
(.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))
(pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))) (neg.f64 (log.f64 (hypot.f64 im re))))
(/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re)))
(sqrt.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)))
(-.f64 (log.f64 (*.f64 (hypot.f64 im re) (hypot.f64 im re))) (log.f64 (hypot.f64 im re)))
(-.f64 (log.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (log.f64 (sqrt.f64 (fma.f64 (.f64 im im) (fma.f64 im im (.f64 re re)) (pow.f64 re #s(literal 4 binary64))))))
(fabs.f64 (neg.f64 (log.f64 (hypot.f64 im re))))
(fabs.f64 (log.f64 (hypot.f64 im re)))
(exp.f64 (-.f64 (*.f64 (log.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 (log.f64 (hypot.f64 im re)))))
(exp.f64 (log.f64 (log.f64 (hypot.f64 im re))))
(+.f64 (/.f64 (cosh.f64 (.f64 (log.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (log.f64 (hypot.f64 im re))) (/.f64 (sinh.f64 (.f64 (log.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (log.f64 (hypot.f64 im re))))
(+.f64 (log.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))) (log.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))))
(+.f64 (cosh.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (sinh.f64 (log.f64 (log.f64 (hypot.f64 im re)))))
(log.f64 (hypot.f64 im re))
(.f64 (neg.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 im re))) (sqrt.f64 (-.f64 (neg.f64 im) (neg.f64 re))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 im) re)) (sqrt.f64 (-.f64 (neg.f64 im) re)))
(*.f64 (sqrt.f64 (+.f64 im re)) (sqrt.f64 (-.f64 im re)))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 re im))) (sqrt.f64 (-.f64 (neg.f64 re) (neg.f64 im))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 re) im)) (sqrt.f64 (-.f64 (neg.f64 re) im)))
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 (-.f64 re im)))
(.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (hypot.f64 im re) (hypot.f64 im re))) (neg.f64 (hypot.f64 im re)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 im im) (fma.f64 im im (.f64 re re)) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (*.f64 (hypot.f64 im re) (hypot.f64 im re)) (hypot.f64 im re))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 im im) (fma.f64 im im (.f64 re re)) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 im im) (fma.f64 im im (.f64 re re)) (pow.f64 re #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 (neg.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (exp.f64 (log.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) re)
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 (neg.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (exp.f64 (log.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) im)
(hypot.f64 (exp.f64 (log.f64 im)) (neg.f64 (neg.f64 (neg.f64 re))))
(hypot.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 re)))
(hypot.f64 (exp.f64 (log.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (exp.f64 (log.f64 im)) (neg.f64 re))
(hypot.f64 (exp.f64 (log.f64 im)) re)
(hypot.f64 (exp.f64 (log.f64 re)) (neg.f64 (neg.f64 (neg.f64 im))))
(hypot.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 im)))
(hypot.f64 (exp.f64 (log.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (exp.f64 (log.f64 re)) (neg.f64 im))
(hypot.f64 (exp.f64 (log.f64 re)) im)
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 (neg.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 im)) (exp.f64 (log.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 im)) re)
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 (neg.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 re)) (exp.f64 (log.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 re)) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 re)) im)
(hypot.f64 (neg.f64 im) (neg.f64 (neg.f64 (neg.f64 re))))
(hypot.f64 (neg.f64 im) (exp.f64 (log.f64 re)))
(hypot.f64 (neg.f64 im) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 im) (neg.f64 re))
(hypot.f64 (neg.f64 im) re)
(hypot.f64 (neg.f64 re) (neg.f64 (neg.f64 (neg.f64 im))))
(hypot.f64 (neg.f64 re) (exp.f64 (log.f64 im)))
(hypot.f64 (neg.f64 re) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 re) (neg.f64 im))
(hypot.f64 (neg.f64 re) im)
(hypot.f64 im (neg.f64 (neg.f64 (neg.f64 re))))
(hypot.f64 im (exp.f64 (log.f64 re)))
(hypot.f64 im (neg.f64 (neg.f64 re)))
(hypot.f64 im (neg.f64 re))
(hypot.f64 im re)
(hypot.f64 re (neg.f64 (neg.f64 (neg.f64 im))))
(hypot.f64 re (exp.f64 (log.f64 im)))
(hypot.f64 re (neg.f64 (neg.f64 im)))
(hypot.f64 re (neg.f64 im))
(hypot.f64 re im)
(exp.f64 (log.f64 (hypot.f64 im re)))
(+.f64 (cosh.f64 (log.f64 (hypot.f64 im re))) (sinh.f64 (log.f64 (hypot.f64 im re))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 im)))) (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (neg.f64 (log.f64 im))) (log.f64 base))
(/.f64 (neg.f64 (log.f64 im)) (neg.f64 (log.f64 base)))
(/.f64 (log.f64 im) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (log.f64 im) (log.f64 base))
(neg.f64 (/.f64 (neg.f64 (log.f64 im)) (log.f64 base)))
(log.f64 im)
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (log.f64 base)))) (sqrt.f64 (neg.f64 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base))))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 (log.f64 base))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (log.f64 base)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.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 2 binary64)) (log.f64 base))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (log.f64 base))))
(fabs.f64 (neg.f64 (log.f64 base)))
(fabs.f64 (log.f64 base))
(exp.f64 (/.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 base)))
(+.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))
(log.f64 base)
(.f64 (neg.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 im re))) (sqrt.f64 (-.f64 (neg.f64 im) (neg.f64 re))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 im) re)) (sqrt.f64 (-.f64 (neg.f64 im) re)))
(*.f64 (sqrt.f64 (+.f64 im re)) (sqrt.f64 (-.f64 im re)))
(*.f64 (sqrt.f64 (neg.f64 (+.f64 re im))) (sqrt.f64 (-.f64 (neg.f64 re) (neg.f64 im))))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 re) im)) (sqrt.f64 (-.f64 (neg.f64 re) im)))
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 (-.f64 re im)))
(.f64 (pow.f64 (fma.f64 im im (.f64 re re)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 im im (*.f64 re re)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 im im (*.f64 re re)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 (hypot.f64 im re) (hypot.f64 im re))) (neg.f64 (hypot.f64 im re)))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 im im) (fma.f64 im im (.f64 re re)) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (*.f64 (hypot.f64 im re) (hypot.f64 im re)) (hypot.f64 im re))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 im im) (fma.f64 im im (.f64 re re)) (pow.f64 re #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 im im) (fma.f64 im im (.f64 re re)) (pow.f64 re #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 im im (*.f64 re re)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 (neg.f64 re))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (exp.f64 (log.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 (neg.f64 re)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) (neg.f64 re))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 im))) re)
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 (neg.f64 im))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (exp.f64 (log.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 (neg.f64 im)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) (neg.f64 im))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 re))) im)
(hypot.f64 (exp.f64 (log.f64 im)) (neg.f64 (neg.f64 (neg.f64 re))))
(hypot.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 re)))
(hypot.f64 (exp.f64 (log.f64 im)) (neg.f64 (neg.f64 re)))
(hypot.f64 (exp.f64 (log.f64 im)) (neg.f64 re))
(hypot.f64 (exp.f64 (log.f64 im)) re)
(hypot.f64 (exp.f64 (log.f64 re)) (neg.f64 (neg.f64 (neg.f64 im))))
(hypot.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 im)))
(hypot.f64 (exp.f64 (log.f64 re)) (neg.f64 (neg.f64 im)))
(hypot.f64 (exp.f64 (log.f64 re)) (neg.f64 im))
(hypot.f64 (exp.f64 (log.f64 re)) im)
(hypot.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 (neg.f64 re))))
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eval506.0ms (5.2%)

Memory: -2.8MiB live, 371.7MiB allocated; 86ms collecting garbage
Compiler: Compiled 67 956 to 6 490 computations (90.4% saved)

prune131.0ms (1.3%)

Memory

-6.6MiB live, 140.1MiB allocated; 15ms collecting garbage

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	2 017	22	2 039
Fresh	15	3	18
Picked	3	2	5
Done	0	0	0
Total	2 035	27	2 062

Accuracy

100.0%

Counts

2 062 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	48.3%	(/.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 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
	25.1%	(/.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))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))))
	99.0%	(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
	98.9%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 2 binary64)))
	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	98.4%	(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
	98.5%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.5%	(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
▶	99.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
▶	99.3%	(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.2%	(.f64 (log.f64 (hypot.f64 im re)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	99.2%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	77.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
▶	48.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base)))
	48.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
✓	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))))
	47.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/4 binary64)))))
	47.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
✓	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	47.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
	76.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))

Compiler

Compiled 1 466 to 1 011 computations (31% saved)

simplify100.0ms (1%)

Memory

18.2MiB live, 65.5MiB allocated; 1ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	3	(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base))
cost-diff	4	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
cost-diff	4	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
cost-diff	5	(/.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 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
cost-diff	0	(hypot.f64 im re)
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	2	(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
cost-diff	3	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
cost-diff	0	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
cost-diff	2	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff	2	(+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
cost-diff	0	(log.f64 (fma.f64 im im (*.f64 re re)))
cost-diff	0	(.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1 binary64))
cost-diff	2	(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)))
cost-diff	6	(/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	365
0	94	280
1	160	274
2	329	253
3	911	245
4	3238	245
5	7970	245
0	8067	245

Stop Event

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

Calls

Call 1

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

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

localize161.0ms (1.7%)

Memory

11.4MiB live, 151.0MiB allocated; 12ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.37890625	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy	0.38509750976844204	(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base))
accuracy	0.764232861432355	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	31.56993702026028	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
accuracy	0.0	(log.f64 base)
accuracy	0.33431625976844204	(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.35546875	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.528671289073768	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.3366012695368841	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy	0.37890625	(*.f64 (log.f64 im) (log.f64 base))
accuracy	0.4428234561672825	#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
accuracy	0.9786419435593842	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base)))
accuracy	0.33431625976844204	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))
accuracy	32.86063842477399	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0.23046875	(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy	0.33431625976844204	(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)))
accuracy	0.3366012695368841	(/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base))
accuracy	0.37890625	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))

Samples

130.0ms

256×

valid

Compiler

Compiled 394 to 47 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 40.0ms (38.9% of total)

ival-div: 18.0ms (17.5% of total)

ival-log: 13.0ms (12.6% of total)

ival-pow: 11.0ms (10.7% of total)

ival-hypot: 8.0ms (7.8% of total)

ival-add: 6.0ms (5.8% of total)

ival-atan2: 2.0ms (1.9% of total)

ival-sqrt: 2.0ms (1.9% of total)

ival-pow2: 2.0ms (1.9% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series267.0ms (2.8%)

Memory

-38.3MiB live, 259.1MiB allocated; 76ms collecting garbage

Counts

26 → 171

Calls

Call 1

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

Outputs
(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))))))
(/ (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)))
(* 1/2 (/ (log (pow im 2)) (log base)))
(+ (* 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)))))))
(* 1/2 (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))))))
(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)))))
(* (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))))))))
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)))))
0
(* -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)) (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))) (+ (* -1/4 (/ (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))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (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)))))
(* -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))))))
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 (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)) (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))) (+ (* -1/4 (/ (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))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (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)))))
(* -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 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))))))))
(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))))))
(/ (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)))
(* 1/2 (/ (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)))))))
(* 1/2 (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))))))
(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)))))
(* (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))))))))
(+ 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)))))
(* -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)) (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))) (+ (* -1/4 (/ (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))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (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)))))
(* -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))))))
(* 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 (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)) (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))) (+ (* -1/4 (/ (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))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (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)))))
(* -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 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 -1) (* -1 (log (/ -1 im)))))
(log (sqrt (+ (pow im 2) (pow re 2))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ 1 (log base))
(log base)
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(pow (log base) 2)
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 4)
(pow (log base) 3)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(pow (log (/ 1 base)) 2)
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(pow (log (/ 1 base)) 4)
(* -1 (* (log im) (log (/ 1 base))))
(* -1 (pow (log (/ 1 base)) 3))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)

Calls

9 calls:

Time	Variable		Point	Expression
59.0ms	base	@	-inf	((/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base)) (* (pow (log base) -1) (/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base))) (pow (log base) -1) (log base) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (pow (log base) 3) (log base))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (/ (pow (log base) 3) (log base)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4) (* (log im) (log base)) (pow (log base) 2) (pow (log base) 3) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
59.0ms	base	@	0	((/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base)) (* (pow (log base) -1) (/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base))) (pow (log base) -1) (log base) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (pow (log base) 3) (log base))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (/ (pow (log base) 3) (log base)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4) (* (log im) (log base)) (pow (log base) 2) (pow (log base) 3) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
52.0ms	base	@	inf	((/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base)) (* (pow (log base) -1) (/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base))) (pow (log base) -1) (log base) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (pow (log base) 3) (log base))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (/ (pow (log base) 3) (log base)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4) (* (log im) (log base)) (pow (log base) 2) (pow (log base) 3) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
47.0ms	im	@	inf	((/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base)) (* (pow (log base) -1) (/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base))) (pow (log base) -1) (log base) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (pow (log base) 3) (log base))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (/ (pow (log base) 3) (log base)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4) (* (log im) (log base)) (pow (log base) 2) (pow (log base) 3) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
16.0ms	im	@	0	((/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base)) (* (pow (log base) -1) (/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base))) (pow (log base) -1) (log base) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (* (log (+ (* im im) (* re re))) 1/2) (log (+ (* im im) (* re re))) (+ (sqrt (pow (log base) 4)) (* 0 0)) (* 0 0) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (sqrt (pow (log base) 4)) (* 0 0))) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (log base) (pow (log base) 2)) (* (log (sqrt (+ (* im im) (* re re)))) (/ (log base) (pow (log base) 2))) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (/ (pow (log base) 3) (log base))) (sqrt (+ (* re re) (* im im))) (* (atan2 im re) 0) (/ (pow (log base) 3) (log base)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 4) (* (log im) (log base)) (pow (log base) 2) (pow (log base) 3) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))

simplify223.0ms (2.3%)

Memory

24.3MiB live, 153.8MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	479	3546
1	1473	3454
2	5548	3328
0	8224	3096

Stop Event

1×	iter limit
1×	node limit

Counts

171 → 169

Calls

Call 1

Inputs
(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))))))
(/ (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)))
(* 1/2 (/ (log (pow im 2)) (log base)))
(+ (* 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)))))))
(* 1/2 (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))))))
(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)))))
(* (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))))))))
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)))))
0
(* -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)) (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))) (+ (* -1/4 (/ (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))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (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)))))
(* -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))))))
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 (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)) (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))) (+ (* -1/4 (/ (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))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (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)))))
(* -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 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))))))))
(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))))))
(/ (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)))
(* 1/2 (/ (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)))))))
(* 1/2 (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))))))
(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)))))
(* (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))))))))
(+ 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)))))
(* -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)) (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))) (+ (* -1/4 (/ (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))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (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)))))
(* -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))))))
(* 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 (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)) (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))) (+ (* -1/4 (/ (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))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (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)))))
(* -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 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 -1) (* -1 (log (/ -1 im)))))
(log (sqrt (+ (pow im 2) (pow re 2))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ 1 (log base))
(log base)
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(pow (log base) 2)
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 4)
(pow (log base) 3)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(pow (log (/ 1 base)) 2)
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(pow (log (/ 1 base)) 4)
(* -1 (* (log im) (log (/ 1 base))))
(* -1 (pow (log (/ 1 base)) 3))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)

Outputs
(log im)
(log.f64 im)
(+ (log im) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im))
(+ (log im) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 re re) (log.f64 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))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im)))
(/ (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 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (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)))
(fma.f64 (/.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (log.f64 base)) (*.f64 re re) (/.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)))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (log.f64 base)) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im)) (log.f64 base)))
(* 1/2 (/ (log (pow im 2)) (log base)))
(.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(.f64 (/.f64 (fma.f64 (/.f64 re im) (/.f64 re im) (log.f64 (.f64 im im))) (log.f64 base)) #s(literal 1/2 binary64))
(+ (* 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)))))))
(fma.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 (/.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (log.f64 base)) (*.f64 re re)))
(+ (* 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)))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (log.f64 base)) (.f64 (/.f64 (fma.f64 (/.f64 re im) (/.f64 re im) (log.f64 (*.f64 im im))) (log.f64 base)) #s(literal 1/2 binary64)))
(* 1/2 (log (pow im 2)))
(.f64 (log.f64 (.f64 im im)) #s(literal 1/2 binary64))
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))
(.f64 (fma.f64 (/.f64 re im) (/.f64 re im) (log.f64 (.f64 im im))) #s(literal 1/2 binary64))
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(fma.f64 (log.f64 (.f64 im im)) #s(literal 1/2 binary64) (.f64 (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 re re)))
(+ (* 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))))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/6 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 (fma.f64 (/.f64 re im) (/.f64 re im) (log.f64 (*.f64 im im))) #s(literal 1/2 binary64)))
(log (pow im 2))
(log.f64 (*.f64 im im))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(fma.f64 (/.f64 re im) (/.f64 re 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)))))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 re (/.f64 re (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 im im))) (.f64 re re) (log.f64 (.f64 im im)))
(+ (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)))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (.f64 re (/.f64 re (pow.f64 im #s(literal 6 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64)))) (fma.f64 (/.f64 re im) (/.f64 re im) (log.f64 (.f64 im im))))
(* (log base) (log im))
(*.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 re re)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im))) (.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
(+ (* (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))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im))) (.f64 re re) (*.f64 (log.f64 im) (log.f64 base)))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1/2 binary64)) im) (.f64 re re) 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)))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 re (/.f64 re (pow.f64 im #s(literal 5 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (.f64 re re) im))
0
#s(literal 0 binary64)
(* -1 (log (/ 1 re)))
(log.f64 re)
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (log.f64 re))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re)))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (+.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (/.f64 (.f64 (*.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 re)))
(* -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 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (log.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))))))
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (log.f64 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 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re)) (log.f64 base)) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (/.f64 (.f64 (*.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 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)))))))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (log.f64 re)) (log.f64 base)) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 base)))
(+ (* -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))))))
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (+.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (/.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (log.f64 re)))
(* -2 (log (/ 1 re)))
(neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 re)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(fma.f64 (/.f64 im re) (/.f64 im re) (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 re))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(-.f64 (fma.f64 (/.f64 im re) (/.f64 im re) (/.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))) (.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)))))
(fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 re)) (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 im re) (/.f64 im re) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(* -1 (* (log base) (log (/ 1 re))))
(*.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (*.f64 (log.f64 re) (log.f64 base)))
(+ (* -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)))))
(fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (fma.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (.f64 (log.f64 re) (log.f64 base))))
(+ (* -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))))))
(fma.f64 (log.f64 re) (log.f64 base) (fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (fma.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64))))))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (/.f64 re re) (.f64 (/.f64 (.f64 im im) re) #s(literal 1/2 binary64)) re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))) 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)))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64))))) re re)
(* -1 (log (/ -1 re)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(fma.f64 (*.f64 (/.f64 im re) (/.f64 im re)) #s(literal 1/2 binary64) (neg.f64 (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)))))
(fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 im re) (/.f64 im re)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) #s(literal -1 binary64) (fma.f64 (.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) #s(literal 1/720 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) re) (/.f64 im re) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 re #s(literal 4 binary64))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(/.f64 (fma.f64 (*.f64 (/.f64 im re) (/.f64 im re)) #s(literal 1/2 binary64) (neg.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))))))
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(fma.f64 (log.f64 im) (log.f64 base) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))))
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64))) 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)))))))
(fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 im #s(literal 4 binary64))))) im im)
(* -1 (log (/ -1 im)))
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (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)))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64) (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(-.f64 (fma.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/720 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(/.f64 (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.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 (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (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 (fma.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (log.f64 base)) (/.f64 (fma.f64 (*.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.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)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (log.f64 base)) (/.f64 (fma.f64 (.f64 (/.f64 re im) (/.f64 re im)) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)))) (log.f64 base)))
(+ (* -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 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(* -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)))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (*.f64 (/.f64 re im) (/.f64 re im)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (fma.f64 (/.f64 re im) (/.f64 re im) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 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)))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/3 binary64) (fma.f64 (/.f64 re im) (/.f64 re im) (/.f64 (*.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/2 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (neg.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))))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (*.f64 (neg.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)))))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -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))))))
(fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (neg.f64 im) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64)))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (.f64 re re) im) #s(literal 1 binary64))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 im #s(literal 4 binary64))))) im im))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(log (sqrt (+ (pow im 2) (pow re 2))))
(log.f64 (hypot.f64 re im))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(log base)
(log.f64 base)
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(.f64 (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (log.f64 base)) #s(literal 1/2 binary64))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 3)
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(.f64 (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (log.f64 base)) #s(literal 1/2 binary64))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(pow (log (/ 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(* -1 (* (log im) (log (/ 1 base))))
(*.f64 (log.f64 im) (log.f64 base))
(* -1 (pow (log (/ 1 base)) 3))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(.f64 (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 1/2 binary64))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))
(* (log (sqrt (+ (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 (hypot.f64 re im)))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 im))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 3 binary64))

rewrite211.0ms (2.2%)

Memory

-1.3MiB live, 293.3MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	270
0	94	201
1	266	182
2	1520	160
0	8917	160

Stop Event

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

Counts

26 → 1 728

Calls

Call 1

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

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

eval276.0ms (2.8%)

Memory: 16.0MiB live, 386.2MiB allocated; 70ms collecting garbage
Compiler: Compiled 59 512 to 5 450 computations (90.8% saved)

prune103.0ms (1.1%)

Memory

2.8MiB live, 173.4MiB allocated; 46ms collecting garbage

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1 777	14	1 791
Fresh	9	11	20
Picked	4	1	5
Done	0	2	2
Total	1 790	28	1 818

Accuracy

100.0%

Counts

1 818 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
	99.2%	(/.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	98.9%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 2 binary64)))
	47.8%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
▶	50.3%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	98.5%	(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
	48.0%	(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))))
	98.7%	(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(approx (/ ( (log base) (log (sqrt (+ (* im im) (* re re))))) (log base)) (log.f64 im)))
▶	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
	98.4%	(.f64 (/.f64 #s(approx (+ ( (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	48.3%	(.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.2%	(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
▶	98.8%	(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
	77.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
✓	48.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base)))
	48.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
✓	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
	47.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
✓	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	47.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
	76.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))
	48.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 (fma.f64 re re (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))))
▶	48.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))))
	99.1%	#s(approx (* (pow (log base) -1) (/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im)) (log.f64 base)))

Compiler

Compiled 1 585 to 1 093 computations (31% saved)

simplify111.0ms (1.1%)

Memory

25.7MiB live, 116.2MiB allocated; 10ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1	(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) #s(literal 4 binary64)))
cost-diff	2	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff	2	(+.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
cost-diff	6	(*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base))))
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1 binary64))
cost-diff	0	(hypot.f64 re im)
cost-diff	0	(pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
cost-diff	0	(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
cost-diff	0	(log.f64 im)
cost-diff	0	(*.f64 (log.f64 im) (log.f64 base))
cost-diff	0	#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
cost-diff	0	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	0	(log.f64 (*.f64 im im))
cost-diff	0	(.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))
cost-diff	0	#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))))
cost-diff	0	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	5	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	338
0	85	275
1	142	262
2	292	259
3	751	255
4	1719	255
5	4837	255
6	5510	255
7	5895	255
8	6461	255
9	6959	254
10	7256	254
0	8390	252

Stop Event

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

Calls

Call 1

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

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

localize250.0ms (2.6%)

Memory

-25.3MiB live, 237.4MiB allocated; 124ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1953125	(*.f64 (log.f64 im) (log.f64 base))
accuracy	0.23503876953688402	(*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base))))
accuracy	0.3442233892137861	#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
accuracy	0.511947851663913	(pow.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) #s(literal 4 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.11328125	(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy	0.20475259999974785	(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
accuracy	0.2291475706944218	(pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
accuracy	0.19369125976844204	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.1953125	(*.f64 (log.f64 im) (log.f64 base))
accuracy	0.2578125	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.3442233892137861	#s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base)))
accuracy	0.11328125	(/.f64 #s(literal 1/2 binary64) (log.f64 base))
accuracy	0.15853500976844204	(.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))
accuracy	0.34760141876934747	#s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
accuracy	16.49539394790373	(log.f64 (*.f64 im im))
accuracy	0.0	(log.f64 base)
accuracy	0.17578125	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
accuracy	0.1953125	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
accuracy	0.29201127930532605	(pow.f64 (log.f64 base) #s(literal -2 binary64))

Samples

153.0ms	124×	0	invalid
52.0ms	132×	0	valid

Compiler

Compiled 350 to 50 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

ival-log: 61.0ms (33.4% of total)

ival-hypot: 59.0ms (32.3% of total)

ival-mult: 15.0ms (8.2% of total)

ival-pow: 14.0ms (7.7% of total)

ival-atan2: 12.0ms (6.6% of total)

ival-div: 7.0ms (3.8% of total)

ival-add: 7.0ms (3.8% of total)

ival-sqrt: 3.0ms (1.6% of total)

ival-pow2: 2.0ms (1.1% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series418.0ms (4.3%)

Memory

17.9MiB live, 681.2MiB allocated; 73ms collecting garbage

Counts

23 → 165

Calls

Call 1

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

Outputs
(/ (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)))
(* (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))))))))
(* 1/2 (/ (log (pow im 2)) (log base)))
(+ (* 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)))))))
(+ (* (pow re 2) (+ (* 1/24 (* (pow re 2) (- (* 24 (- (* 1/8 (/ 1 (* (pow im 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 3 (/ 1 (* (pow im 4) (pow (log base) 2))))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* 1/720 (* (pow re 2) (+ (* -360 (/ (- (* 1/8 (/ 1 (* (pow im 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (log base))))) (* (pow im 2) (log base)))) (+ (* 30 (/ 1 (* (pow im 6) (pow (log base) 3)))) (* 720 (- (+ (* 1/48 (/ 1 (* (pow im 6) (pow (log base) 3)))) (* 1/6 (/ 1 (* (pow im 6) (log base))))) (* 1/8 (/ 1 (* (pow im 6) (pow (log base) 2)))))))))) (* 1/24 (- (* 24 (- (* 1/8 (/ 1 (* (pow im 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 3 (/ 1 (* (pow im 4) (pow (log base) 2)))))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(exp (/ (log im) (log base)))
(+ (exp (/ (log im) (log base))) (* 1/2 (/ (* (pow re 2) (exp (/ (log im) (log base)))) (* (pow im 2) (log base)))))
(+ (exp (/ (log im) (log base))) (* (pow re 2) (+ (* 1/2 (/ (exp (/ (log im) (log base))) (* (pow im 2) (log base)))) (* (pow re 2) (* (exp (/ (log im) (log base))) (- (* 1/8 (/ 1 (* (pow im 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (log base))))))))))
(+ (exp (/ (log im) (log base))) (* (pow re 2) (+ (* 1/2 (/ (exp (/ (log im) (log base))) (* (pow im 2) (log base)))) (* (pow re 2) (+ (* (exp (/ (log im) (log base))) (- (* 1/8 (/ 1 (* (pow im 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* (pow re 2) (* (exp (/ (log im) (log base))) (- (+ (* 1/48 (/ 1 (* (pow im 6) (pow (log base) 3)))) (* 1/6 (/ 1 (* (pow im 6) (log base))))) (* 1/8 (/ 1 (* (pow im 6) (pow (log base) 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)))))
(* -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 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 (/ 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))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log base) 2))) (* 24 (+ (* -1/4 (/ (pow im 4) (log base))) (* 1/8 (/ (pow im 4) (pow (log base) 2)))))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* 1/720 (/ (+ (* -360 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (log base))) (* 1/8 (/ (pow im 4) (pow (log base) 2))))) (log base))) (+ (* 30 (/ (pow im 6) (pow (log base) 3))) (* 720 (+ (* -1/8 (/ (pow im 6) (pow (log base) 2))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log base))) (* 1/48 (/ (pow im 6) (pow (log base) 3)))))))) (pow re 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log base) 2))) (* 24 (+ (* -1/4 (/ (pow im 4) (log base))) (* 1/8 (/ (pow im 4) (pow (log base) 2)))))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(exp (* -1 (/ (log (/ 1 re)) (log base))))
(+ (exp (* -1 (/ (log (/ 1 re)) (log base)))) (* 1/2 (/ (* (pow im 2) (exp (* -1 (/ (log (/ 1 re)) (log base))))) (* (pow re 2) (log base)))))
(+ (exp (* -1 (/ (log (/ 1 re)) (log base)))) (+ (* 1/2 (/ (* (pow im 2) (exp (* -1 (/ (log (/ 1 re)) (log base))))) (* (pow re 2) (log base)))) (/ (* (exp (* -1 (/ (log (/ 1 re)) (log base)))) (+ (* -1/4 (/ (pow im 4) (log base))) (* 1/8 (/ (pow im 4) (pow (log base) 2))))) (pow re 4))))
(+ (exp (* -1 (/ (log (/ 1 re)) (log base)))) (+ (* 1/2 (/ (* (pow im 2) (exp (* -1 (/ (log (/ 1 re)) (log base))))) (* (pow re 2) (log base)))) (+ (/ (* (exp (* -1 (/ (log (/ 1 re)) (log base)))) (+ (* -1/4 (/ (pow im 4) (log base))) (* 1/8 (/ (pow im 4) (pow (log base) 2))))) (pow re 4)) (/ (* (exp (* -1 (/ (log (/ 1 re)) (log base)))) (+ (* -1/8 (/ (pow im 6) (pow (log base) 2))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log base))) (* 1/48 (/ (pow im 6) (pow (log base) 3)))))) (pow re 6)))))
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 (/ (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 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 (/ -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))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log base) 2))) (* 24 (+ (* -1/4 (/ (pow im 4) (log base))) (* 1/8 (/ (pow im 4) (pow (log base) 2)))))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* 1/720 (/ (+ (* -360 (/ (* (pow im 2) (+ (* -1/4 (/ (pow im 4) (log base))) (* 1/8 (/ (pow im 4) (pow (log base) 2))))) (log base))) (+ (* 30 (/ (pow im 6) (pow (log base) 3))) (* 720 (+ (* -1/8 (/ (pow im 6) (pow (log base) 2))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log base))) (* 1/48 (/ (pow im 6) (pow (log base) 3)))))))) (pow re 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow im 4) (pow (log base) 2))) (* 24 (+ (* -1/4 (/ (pow im 4) (log base))) (* 1/8 (/ (pow im 4) (pow (log base) 2)))))) (pow re 4))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(exp (* -1 (/ (log (/ -1 re)) (log base))))
(+ (exp (* -1 (/ (log (/ -1 re)) (log base)))) (* 1/2 (/ (* (pow im 2) (exp (* -1 (/ (log (/ -1 re)) (log base))))) (* (pow re 2) (log base)))))
(+ (exp (* -1 (/ (log (/ -1 re)) (log base)))) (+ (* 1/2 (/ (* (pow im 2) (exp (* -1 (/ (log (/ -1 re)) (log base))))) (* (pow re 2) (log base)))) (/ (* (exp (* -1 (/ (log (/ -1 re)) (log base)))) (+ (* -1/4 (/ (pow im 4) (log base))) (* 1/8 (/ (pow im 4) (pow (log base) 2))))) (pow re 4))))
(+ (exp (* -1 (/ (log (/ -1 re)) (log base)))) (+ (* 1/2 (/ (* (pow im 2) (exp (* -1 (/ (log (/ -1 re)) (log base))))) (* (pow re 2) (log base)))) (+ (/ (* (exp (* -1 (/ (log (/ -1 re)) (log base)))) (+ (* -1/4 (/ (pow im 4) (log base))) (* 1/8 (/ (pow im 4) (pow (log base) 2))))) (pow re 4)) (/ (* (exp (* -1 (/ (log (/ -1 re)) (log base)))) (+ (* -1/8 (/ (pow im 6) (pow (log base) 2))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (log base))) (* 1/48 (/ (pow im 6) (pow (log base) 3)))))) (pow re 6)))))
(* -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))))))))
(/ (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)))
(* (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))))))))
(* 1/2 (/ (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)))))))
(* 2 (log im))
(log im)
(+ (* (pow im 2) (+ (* 1/24 (* (pow im 2) (- (* 24 (- (* 1/8 (/ 1 (* (pow re 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 3 (/ 1 (* (pow re 4) (pow (log base) 2))))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* 1/720 (* (pow im 2) (+ (* -360 (/ (- (* 1/8 (/ 1 (* (pow re 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow re 4) (log base))))) (* (pow re 2) (log base)))) (+ (* 30 (/ 1 (* (pow re 6) (pow (log base) 3)))) (* 720 (- (+ (* 1/48 (/ 1 (* (pow re 6) (pow (log base) 3)))) (* 1/6 (/ 1 (* (pow re 6) (log base))))) (* 1/8 (/ 1 (* (pow re 6) (pow (log base) 2)))))))))) (* 1/24 (- (* 24 (- (* 1/8 (/ 1 (* (pow re 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 3 (/ 1 (* (pow re 4) (pow (log base) 2)))))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(exp (/ (log re) (log base)))
(+ (exp (/ (log re) (log base))) (* 1/2 (/ (* (pow im 2) (exp (/ (log re) (log base)))) (* (pow re 2) (log base)))))
(+ (exp (/ (log re) (log base))) (* (pow im 2) (+ (* 1/2 (/ (exp (/ (log re) (log base))) (* (pow re 2) (log base)))) (* (pow im 2) (* (exp (/ (log re) (log base))) (- (* 1/8 (/ 1 (* (pow re 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow re 4) (log base))))))))))
(+ (exp (/ (log re) (log base))) (* (pow im 2) (+ (* 1/2 (/ (exp (/ (log re) (log base))) (* (pow re 2) (log base)))) (* (pow im 2) (+ (* (exp (/ (log re) (log base))) (- (* 1/8 (/ 1 (* (pow re 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* (pow im 2) (* (exp (/ (log re) (log base))) (- (+ (* 1/48 (/ 1 (* (pow re 6) (pow (log base) 3)))) (* 1/6 (/ 1 (* (pow re 6) (log base))))) (* 1/8 (/ 1 (* (pow re 6) (pow (log base) 2))))))))))))
(+ 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)))))
(* -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) (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 (/ 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)))))))
(* -2 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log base) 2))) (* 24 (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2)))))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* 1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2))))) (log base))) (+ (* 30 (/ (pow re 6) (pow (log base) 3))) (* 720 (+ (* -1/8 (/ (pow re 6) (pow (log base) 2))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log base))) (* 1/48 (/ (pow re 6) (pow (log base) 3)))))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log base) 2))) (* 24 (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2)))))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(exp (* -1 (/ (log (/ 1 im)) (log base))))
(+ (exp (* -1 (/ (log (/ 1 im)) (log base)))) (* 1/2 (/ (* (pow re 2) (exp (* -1 (/ (log (/ 1 im)) (log base))))) (* (pow im 2) (log base)))))
(+ (exp (* -1 (/ (log (/ 1 im)) (log base)))) (+ (* 1/2 (/ (* (pow re 2) (exp (* -1 (/ (log (/ 1 im)) (log base))))) (* (pow im 2) (log base)))) (/ (* (exp (* -1 (/ (log (/ 1 im)) (log base)))) (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2))))) (pow im 4))))
(+ (exp (* -1 (/ (log (/ 1 im)) (log base)))) (+ (* 1/2 (/ (* (pow re 2) (exp (* -1 (/ (log (/ 1 im)) (log base))))) (* (pow im 2) (log base)))) (+ (/ (* (exp (* -1 (/ (log (/ 1 im)) (log base)))) (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2))))) (pow im 4)) (/ (* (exp (* -1 (/ (log (/ 1 im)) (log base)))) (+ (* -1/8 (/ (pow re 6) (pow (log base) 2))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log base))) (* 1/48 (/ (pow re 6) (pow (log base) 3)))))) (pow im 6)))))
(* 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 (/ (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) (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 (/ -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)))))))
(* -2 (log (/ -1 im)))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log base) 2))) (* 24 (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2)))))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* 1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2))))) (log base))) (+ (* 30 (/ (pow re 6) (pow (log base) 3))) (* 720 (+ (* -1/8 (/ (pow re 6) (pow (log base) 2))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log base))) (* 1/48 (/ (pow re 6) (pow (log base) 3)))))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log base) 2))) (* 24 (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2)))))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(exp (* -1 (/ (log (/ -1 im)) (log base))))
(+ (exp (* -1 (/ (log (/ -1 im)) (log base)))) (* 1/2 (/ (* (pow re 2) (exp (* -1 (/ (log (/ -1 im)) (log base))))) (* (pow im 2) (log base)))))
(+ (exp (* -1 (/ (log (/ -1 im)) (log base)))) (+ (* 1/2 (/ (* (pow re 2) (exp (* -1 (/ (log (/ -1 im)) (log base))))) (* (pow im 2) (log base)))) (/ (* (exp (* -1 (/ (log (/ -1 im)) (log base)))) (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2))))) (pow im 4))))
(+ (exp (* -1 (/ (log (/ -1 im)) (log base)))) (+ (* 1/2 (/ (* (pow re 2) (exp (* -1 (/ (log (/ -1 im)) (log base))))) (* (pow im 2) (log base)))) (+ (/ (* (exp (* -1 (/ (log (/ -1 im)) (log base)))) (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2))))) (pow im 4)) (/ (* (exp (* -1 (/ (log (/ -1 im)) (log base)))) (+ (* -1/8 (/ (pow re 6) (pow (log base) 2))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log base))) (* 1/48 (/ (pow re 6) (pow (log base) 3)))))) (pow im 6)))))
(* -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 (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ 1 (pow (log base) 2))
(log base)
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(exp (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)))
(/ 1 (log base))
(* (log base) (pow (sqrt -1) 2))
(* (pow (log base) 2) (pow (sqrt -1) 4))
(/ 1/2 (log base))
(pow (log base) 2)
(* (pow (log base) 4) (pow (sqrt -1) 8))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ 1 (pow (log (/ 1 base)) 2))
(* -1 (log (/ 1 base)))
(* -1 (* (log (sqrt (+ (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)) (log (/ 1 base))))
(* -1 (* (log im) (log (/ 1 base))))
(exp (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))
(/ -1 (log (/ 1 base)))
(* -1 (* (log (/ 1 base)) (pow (sqrt -1) 2)))
(* (pow (log (/ 1 base)) 2) (pow (sqrt -1) 4))
(/ -1/2 (log (/ 1 base)))
(pow (log (/ 1 base)) 2)
(* (pow (log (/ 1 base)) 4) (pow (sqrt -1) 8))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(+ (log -1) (* -1 (log (/ -1 base))))
(* (log (sqrt (+ (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)) (+ (log -1) (* -1 (log (/ -1 base))))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(exp (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (pow (sqrt -1) 4) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1/2 (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (pow (sqrt -1) 8) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))

Calls

9 calls:

Time	Variable		Point	Expression
169.0ms	base	@	0	((* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (* (log (* im im)) (/ 1/2 (log base))) (log (* im im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (log im) (log (pow (sqrt (+ (* re re) (* im im))) (pow (log base) -1))) (pow (sqrt (+ (* re re) (* im im))) (pow (log base) -1)) (sqrt (+ (* re re) (* im im))) (pow (log base) -1) (* (sqrt (neg (log base))) (sqrt (neg (log base)))) (+ (sqrt (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4)) (* 0 0)) (* 0 0) (sqrt (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4)) (/ 1/2 (log base)) (pow (log base) 2) (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4))
69.0ms	base	@	inf	((* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (* (log (* im im)) (/ 1/2 (log base))) (log (* im im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (log im) (log (pow (sqrt (+ (* re re) (* im im))) (pow (log base) -1))) (pow (sqrt (+ (* re re) (* im im))) (pow (log base) -1)) (sqrt (+ (* re re) (* im im))) (pow (log base) -1) (* (sqrt (neg (log base))) (sqrt (neg (log base)))) (+ (sqrt (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4)) (* 0 0)) (* 0 0) (sqrt (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4)) (/ 1/2 (log base)) (pow (log base) 2) (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4))
62.0ms	base	@	-inf	((* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (* (log (* im im)) (/ 1/2 (log base))) (log (* im im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (log im) (log (pow (sqrt (+ (* re re) (* im im))) (pow (log base) -1))) (pow (sqrt (+ (* re re) (* im im))) (pow (log base) -1)) (sqrt (+ (* re re) (* im im))) (pow (log base) -1) (* (sqrt (neg (log base))) (sqrt (neg (log base)))) (+ (sqrt (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4)) (* 0 0)) (* 0 0) (sqrt (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4)) (/ 1/2 (log base)) (pow (log base) 2) (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4))
41.0ms	im	@	-inf	((* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (* (log (* im im)) (/ 1/2 (log base))) (log (* im im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (log im) (log (pow (sqrt (+ (* re re) (* im im))) (pow (log base) -1))) (pow (sqrt (+ (* re re) (* im im))) (pow (log base) -1)) (sqrt (+ (* re re) (* im im))) (pow (log base) -1) (* (sqrt (neg (log base))) (sqrt (neg (log base)))) (+ (sqrt (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4)) (* 0 0)) (* 0 0) (sqrt (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4)) (/ 1/2 (log base)) (pow (log base) 2) (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4))
33.0ms	im	@	inf	((* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (* (log (* im im)) (/ 1/2 (log base))) (log (* im im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (pow (log base) 2)) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (* (log im) (log base)) (log im) (log (pow (sqrt (+ (* re re) (* im im))) (pow (log base) -1))) (pow (sqrt (+ (* re re) (* im im))) (pow (log base) -1)) (sqrt (+ (* re re) (* im im))) (pow (log base) -1) (* (sqrt (neg (log base))) (sqrt (neg (log base)))) (+ (sqrt (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4)) (* 0 0)) (* 0 0) (sqrt (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4)) (/ 1/2 (log base)) (pow (log base) 2) (pow (* (sqrt (neg (log base))) (sqrt (neg (log base)))) 4))

simplify302.0ms (3.1%)

Memory

-18.8MiB live, 215.4MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	615	4934
1	2034	4803
0	8559	4521

Stop Event

1×	iter limit
1×	node limit

Counts

165 → 163

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)))
(* (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))))))))
(* 1/2 (/ (log (pow im 2)) (log base)))
(+ (* 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)))))))
(+ (* (pow re 2) (+ (* 1/24 (* (pow re 2) (- (* 24 (- (* 1/8 (/ 1 (* (pow im 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 3 (/ 1 (* (pow im 4) (pow (log base) 2))))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* 1/720 (* (pow re 2) (+ (* -360 (/ (- (* 1/8 (/ 1 (* (pow im 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (log base))))) (* (pow im 2) (log base)))) (+ (* 30 (/ 1 (* (pow im 6) (pow (log base) 3)))) (* 720 (- (+ (* 1/48 (/ 1 (* (pow im 6) (pow (log base) 3)))) (* 1/6 (/ 1 (* (pow im 6) (log base))))) (* 1/8 (/ 1 (* (pow im 6) (pow (log base) 2)))))))))) (* 1/24 (- (* 24 (- (* 1/8 (/ 1 (* (pow im 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 3 (/ 1 (* (pow im 4) (pow (log base) 2)))))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(exp (/ (log im) (log base)))
(+ (exp (/ (log im) (log base))) (* 1/2 (/ (* (pow re 2) (exp (/ (log im) (log base)))) (* (pow im 2) (log base)))))
(+ (exp (/ (log im) (log base))) (* (pow re 2) (+ (* 1/2 (/ (exp (/ (log im) (log base))) (* (pow im 2) (log base)))) (* (pow re 2) (* (exp (/ (log im) (log base))) (- (* 1/8 (/ 1 (* (pow im 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (log base))))))))))
(+ (exp (/ (log im) (log base))) (* (pow re 2) (+ (* 1/2 (/ (exp (/ (log im) (log base))) (* (pow im 2) (log base)))) (* (pow re 2) (+ (* (exp (/ (log im) (log base))) (- (* 1/8 (/ 1 (* (pow im 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* (pow re 2) (* (exp (/ (log im) (log base))) (- (+ (* 1/48 (/ 1 (* (pow im 6) (pow (log base) 3)))) (* 1/6 (/ 1 (* (pow im 6) (log base))))) (* 1/8 (/ 1 (* (pow im 6) (pow (log base) 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)))))
(* -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))))))
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re
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(* 2 (log im))
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(+ 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)))))
(* -1 (/ (log (/ 1 im)) (log base)))
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(* -1 (* (log base) (log (/ 1 im))))
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(+ (* -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 (/ 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)))))))
(* -2 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
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(* 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 (/ (log (/ -1 im)) (log base)))
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(* -1 (* (log base) (log (/ -1 im))))
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(+ (* -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))))))
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(* -2 (log (/ -1 im)))
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(+ (log -1) (* -1 (log (/ -1 im))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log base) 2))) (* 24 (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2)))))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* 1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2))))) (log base))) (+ (* 30 (/ (pow re 6) (pow (log base) 3))) (* 720 (+ (* -1/8 (/ (pow re 6) (pow (log base) 2))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log base))) (* 1/48 (/ (pow re 6) (pow (log base) 3)))))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log base) 2))) (* 24 (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2)))))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(exp (* -1 (/ (log (/ -1 im)) (log base))))
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(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
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(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ 1 (pow (log base) 2))
(log base)
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(exp (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)))
(/ 1 (log base))
(* (log base) (pow (sqrt -1) 2))
(* (pow (log base) 2) (pow (sqrt -1) 4))
(/ 1/2 (log base))
(pow (log base) 2)
(* (pow (log base) 4) (pow (sqrt -1) 8))
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(* -1 (log (/ 1 base)))
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(* (pow (log (/ 1 base)) 2) (pow (sqrt -1) 4))
(/ -1/2 (log (/ 1 base)))
(pow (log (/ 1 base)) 2)
(* (pow (log (/ 1 base)) 4) (pow (sqrt -1) 8))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
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(* 1/2 (/ (log (pow im 2)) (+ (log -1) (* -1 (log (/ -1 base))))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(exp (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (pow (sqrt -1) 4) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1/2 (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (pow (sqrt -1) 8) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))

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)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (/.f64 (*.f64 re re) im) im) (/.f64 (log.f64 im) (log.f64 base)))
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re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (.f64 re #s(literal 1/2 binary64)) (.f64 (/.f64 im re) (/.f64 im re)) re)
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(exp (* -1 (/ (log (/ -1 re)) (log base))))
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(* -1 re)
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(/ (log re) (log base))
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(* (log base) (log re))
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(* 1/2 (/ (log (pow re 2)) (log base)))
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(* 2 (log im))
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(fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (.f64 (neg.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))))))
(fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (log.f64 base) im) im) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))))
(+ (* -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)))))))
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (log.f64 base)) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (/.f64 (.f64 re re) im) im) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/6 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base))))))
(* -2 (log (/ -1 im)))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im))) (log.f64 base))
(+ (log -1) (* -1 (log (/ -1 im))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log base) 2))) (* 24 (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2)))))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(fma.f64 (/.f64 (fma.f64 #s(literal -6 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (*.f64 re re) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* 1/720 (/ (+ (* -360 (/ (* (pow re 2) (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2))))) (log base))) (+ (* 30 (/ (pow re 6) (pow (log base) 3))) (* 720 (+ (* -1/8 (/ (pow re 6) (pow (log base) 2))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log base))) (* 1/48 (/ (pow re 6) (pow (log base) 3)))))))) (pow im 6))) (+ (* 1/24 (/ (+ (* -3 (/ (pow re 4) (pow (log base) 2))) (* 24 (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2)))))) (pow im 4))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (.f64 re re)) (log.f64 base)) #s(literal -360 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 base)) #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/48 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) #s(literal 720 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 30 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/720 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -6 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (*.f64 re re) (log.f64 base)) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))))
(exp (* -1 (/ (log (/ -1 im)) (log base))))
(exp.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))
(+ (exp (* -1 (/ (log (/ -1 im)) (log base)))) (* 1/2 (/ (* (pow re 2) (exp (* -1 (/ (log (/ -1 im)) (log base))))) (* (pow im 2) (log base)))))
(fma.f64 (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) (.f64 re re)) (.f64 (.f64 (log.f64 base) im) im)) #s(literal 1/2 binary64) (exp.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))
(+ (exp (* -1 (/ (log (/ -1 im)) (log base)))) (+ (* 1/2 (/ (* (pow re 2) (exp (* -1 (/ (log (/ -1 im)) (log base))))) (* (pow im 2) (log base)))) (/ (* (exp (* -1 (/ (log (/ -1 im)) (log base)))) (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2))))) (pow im 4))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) (.f64 re re)) (log.f64 base)) (fma.f64 (exp.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64))) (exp.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))))
(+ (exp (* -1 (/ (log (/ -1 im)) (log base)))) (+ (* 1/2 (/ (* (pow re 2) (exp (* -1 (/ (log (/ -1 im)) (log base))))) (* (pow im 2) (log base)))) (+ (/ (* (exp (* -1 (/ (log (/ -1 im)) (log base)))) (+ (* -1/4 (/ (pow re 4) (log base))) (* 1/8 (/ (pow re 4) (pow (log base) 2))))) (pow im 4)) (/ (* (exp (* -1 (/ (log (/ -1 im)) (log base)))) (+ (* -1/8 (/ (pow re 6) (pow (log base) 2))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (log base))) (* 1/48 (/ (pow re 6) (pow (log base) 3)))))) (pow im 6)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 im im)) (/.f64 (.f64 (exp.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) (.f64 re re)) (log.f64 base)) (fma.f64 (exp.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (log.f64 base)) #s(literal 1/720 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/48 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (pow.f64 im #s(literal 4 binary64)))) (exp.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(.f64 (neg.f64 im) (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64)))) im im))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ 1 (pow (log base) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log base)
(log.f64 base)
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(.f64 (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (log.f64 base)) #s(literal 1/2 binary64))
(exp (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base)))
(exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(* (log base) (pow (sqrt -1) 2))
(neg.f64 (log.f64 base))
(* (pow (log base) 2) (pow (sqrt -1) 4))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ 1/2 (log base))
(/.f64 #s(literal 1/2 binary64) (log.f64 base))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* (pow (log base) 4) (pow (sqrt -1) 8))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/ 1 (pow (log (/ 1 base)) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* -1 (log (/ 1 base)))
(log.f64 base)
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(.f64 (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (neg.f64 (log.f64 base))) #s(literal -1/2 binary64))
(* -1/2 (/ (log (pow im 2)) (log (/ 1 base))))
(.f64 (/.f64 (log.f64 (.f64 im im)) (neg.f64 (log.f64 base))) #s(literal -1/2 binary64))
(* -1 (* (log im) (log (/ 1 base))))
(*.f64 (log.f64 im) (log.f64 base))
(exp (* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))))
(exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/ -1 (log (/ 1 base)))
(/.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base)))
(* -1 (* (log (/ 1 base)) (pow (sqrt -1) 2)))
(neg.f64 (log.f64 base))
(* (pow (log (/ 1 base)) 2) (pow (sqrt -1) 4))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/ -1/2 (log (/ 1 base)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 base)))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* (pow (log (/ 1 base)) 4) (pow (sqrt -1) 8))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)))
(+ (log -1) (* -1 (log (/ -1 base))))
(-.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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 re im)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(.f64 (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 1/2 binary64))
(* 1/2 (/ (log (pow im 2)) (+ (log -1) (* -1 (log (/ -1 base))))))
(.f64 (/.f64 (log.f64 (.f64 im im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) #s(literal 1/2 binary64))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 im))
(exp (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))))
(exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (pow (sqrt -1) 2) (+ (log -1) (* -1 (log (/ -1 base)))))
(fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(* (pow (sqrt -1) 4) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))
(/ 1/2 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(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 (sqrt -1) 8) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))

rewrite179.0ms (1.8%)

Memory

-4.9MiB live, 335.0MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	235
0	83	192
1	268	167
2	1599	152
0	8595	152

Stop Event

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

Counts

23 → 1 423

Calls

Call 1

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

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

eval360.0ms (3.7%)

Memory: 52.6MiB live, 554.1MiB allocated; 157ms collecting garbage
Compiler: Compiled 55 357 to 5 073 computations (90.8% saved)

prune107.0ms (1.1%)

Memory

-4.4MiB live, 187.9MiB allocated; 28ms collecting garbage

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	1 556	12	1 568
Fresh	8	12	20
Picked	4	1	5
Done	0	3	3
Total	1 568	28	1 596

Accuracy

100.0%

Counts

1 596 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
	99.2%	(/.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	47.8%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	50.3%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) #s(literal 4 binary64))) #s(literal 0 binary64)))
	98.6%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
	98.5%	(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
	99.3%	(.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
	98.6%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx ( (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (log.f64 im) (log.f64 base))))
	48.0%	(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 re im))) (log.f64 base))
	48.3%	(.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.4%	(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))))
	98.8%	(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	77.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
✓	48.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base)))
	48.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
✓	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
	47.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
✓	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	47.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
	76.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))
	48.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 (fma.f64 re re (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))))
	22.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (.f64 (log.f64 (.f64 im im)) (/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))))))
	22.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (log.f64 base)))))))
	99.1%	#s(approx (* (pow (log base) -1) (/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im)) (log.f64 base)))

Compiler

Compiled 2 845 to 865 computations (69.6% saved)

regimes127.0ms (1.3%)

Memory

18.5MiB live, 158.6MiB allocated; 17ms collecting garbage

Counts

72 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base)))
#s(approx (* (pow (log base) -1) (/ (* (log base) (log (sqrt (+ (* im im) (* re re))))) (log base))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 re re) im) im) #s(literal 1/2 binary64) (log.f64 im)) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) #s(approx (/ ( (log base) (log (sqrt (+ (* im im) (* re re))))) (log base)) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 (fma.f64 re re (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (.f64 (log.f64 (.f64 im im)) (/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (log.f64 base)))) (sqrt.f64 (log.f64 base))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx ( (log base) (log (sqrt (+ (* im im) (* re re))))) (*.f64 (log.f64 im) (log.f64 base))))
(log.f64 (pow.f64 (hypot.f64 re im) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (log.f64 base)))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (sqrt.f64 (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (log.f64 base)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))))
(.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))))
(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (exp.f64 (log.f64 (log.f64 (hypot.f64 im re)))) (log.f64 base)))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (log.f64 (hypot.f64 im re)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 re im))) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 6)) (*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) #s(literal 4 binary64))) #s(literal 0 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 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (sqrt.f64 (pow.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 base))) (sqrt.f64 (neg.f64 (log.f64 base)))) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1/2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/4 binary64)))))
(.f64 (/.f64 #s(approx (+ ( (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 im) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 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))) (exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 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 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)))
(/.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 (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 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 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))) #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))))
(/.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 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 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 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #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 (hypot.f64 im re)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))

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

Calls

5 calls:

36.0ms	base
29.0ms	(/.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))))
24.0ms	im
17.0ms	re
17.0ms	(log.f64 base)

Results

Accuracy	Segments	Branch
99.5%	1	`(log.f64 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	`re`
99.5%	1	`im`
99.5%	1	`base`

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes28.0ms (0.3%)

Memory

-20.0MiB live, 27.6MiB allocated; 2ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

18.0ms	base
2.0ms	(log.f64 base)
2.0ms	im
2.0ms	re
2.0ms	(/.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))))

Results

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

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes23.0ms (0.2%)

Memory

-24.6MiB live, 22.5MiB allocated; 2ms collecting garbage

Accuracy

Total -32.5b remaining (-4175.9%)

Threshold costs -32.5b (-4175.9%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	(log.f64 base)
2.0ms	re
2.0ms	base
2.0ms	im
2.0ms	(/.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))))

Results

Accuracy	Segments	Branch
98.8%	1	`(log.f64 base)`
98.8%	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))))`
98.8%	1	`re`
98.8%	1	`im`
98.8%	1	`base`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify53.0ms (0.5%)

Memory

12.7MiB live, 59.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	89
1	80	85
2	205	71
3	514	65
4	1590	65
5	7064	65

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

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

derivations733.0ms (7.6%)

Memory

7.9MiB live, 525.8MiB allocated; 137ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	479	3546
1	1473	3454
2	5548	3328
0	8224	3096
0	57	294
0	93	206
1	263	187
2	1485	184
0	8990	184
0	299	1777
1	930	1774
2	3622	1662
0	8312	1538
0	18	74
0	34	56
1	121	54
2	909	51
0	9422	31

Stop Event

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

Compiler

Compiled 89 to 29 computations (67.4% saved)

preprocess43.0ms (0.4%)

Memory

14.1MiB live, 112.6MiB allocated; 14ms collecting garbage

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 738 to 436 computations (40.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze244.0ms (2.5%)

sample1.7s (18%)

explain360.0ms (3.7%)

preprocess276.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify253.0ms (2.6%)

localize57.0ms (0.6%)

series266.0ms (2.7%)

simplify259.0ms (2.7%)

rewrite118.0ms (1.2%)

eval72.0ms (0.7%)

prune67.0ms (0.7%)

simplify159.0ms (1.6%)

localize201.0ms (2.1%)

series453.0ms (4.7%)

simplify170.0ms (1.8%)

rewrite289.0ms (3%)

eval506.0ms (5.2%)

prune131.0ms (1.3%)

simplify100.0ms (1%)

localize161.0ms (1.7%)

series267.0ms (2.8%)

simplify223.0ms (2.3%)

rewrite211.0ms (2.2%)

eval276.0ms (2.8%)

prune103.0ms (1.1%)

simplify111.0ms (1.1%)

localize250.0ms (2.6%)

series418.0ms (4.3%)

simplify302.0ms (3.1%)

rewrite179.0ms (1.8%)

eval360.0ms (3.7%)

prune107.0ms (1.1%)

regimes127.0ms (1.3%)

regimes28.0ms (0.3%)

regimes23.0ms (0.2%)

simplify53.0ms (0.5%)

derivations733.0ms (7.6%)

preprocess43.0ms (0.4%)

end0.0ms (0%)

Profiling