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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze291.0ms (3.3%)

Memory

10.4MiB live, 211.4MiB allocated

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)

sample1.6s (18.6%)

Memory

51.6MiB live, 2 136.4MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 847.0ms

ival-log: 258.0ms (30.5% of total)

ival-hypot: 171.0ms (20.2% of total)

ival-mult: 156.0ms (18.4% of total)

ival-add: 95.0ms (11.2% of total)

ival-atan2: 94.0ms (11.1% of total)

ival-div: 57.0ms (6.7% of total)

ival-true: 7.0ms (0.8% of total)

exact: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain346.0ms (3.9%)

Memory

-21.1MiB live, 419.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
119	-	1	(-2.3287762399060056e-271 1.0888817614679772e-157 1.8924441011255866e+254)	`(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	101	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	101
↳	`(*.f64 re re)`	overflow	60
↳	`(*.f64 im im)`	overflow	53
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	17	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	17
↳	`(*.f64 re re)`	underflow	62
↳	`(*.f64 im im)`	underflow	54

Confusion

	Predicted +	Predicted -
+	118	1
-	0	137

Precision

1.0

Recall

0.9915966386554622

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	1
-	0	0	137

Precision?

1.0

Recall?

0.9915966386554622

Freqs

test

number	freq
0	138
1	118

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

107.0ms

512×

valid

Compiler

Compiled 270 to 58 computations (78.5% saved)

Precisions

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

ival-mult: 37.0ms (43.7% of total)

ival-log: 20.0ms (23.6% of total)

ival-hypot: 9.0ms (10.6% of total)

ival-add: 7.0ms (8.3% of total)

ival-div: 6.0ms (7.1% of total)

ival-atan2: 4.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess258.0ms (2.9%)

Memory

9.4MiB live, 206.1MiB allocated

Algorithm

1×	egg-herbie

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
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.9%	(/.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

▶

54.9%

(/.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)

simplify229.0ms (2.6%)

Memory

-5.2MiB live, 203.1MiB allocated

Algorithm

1×	egg-herbie

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)

localize64.0ms (0.7%)

Memory

-11.5MiB live, 64.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.34765625	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy	0.37337875976844204	(/.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	0.4733200195368841	(*.f64 (log.f64 base) (log.f64 base))
accuracy	27.592094320098305	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

42.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 7.0ms (27.7% of total)

ival-log: 6.0ms (23.8% of total)

ival-hypot: 5.0ms (19.8% of total)

ival-add: 3.0ms (11.9% of total)

ival-div: 2.0ms (7.9% of total)

ival-atan2: 2.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

series133.0ms (1.5%)

Memory

10.9MiB live, 199.4MiB allocated

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
56.0ms	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)))
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)))
21.0ms	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)))
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)))
2.0ms	re	@	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)))

simplify446.0ms (5.1%)

Memory

-131.3MiB live, 264.9MiB allocated

Algorithm

1×	egg-herbie

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))

rewrite108.0ms (1.2%)

Memory

-6.6MiB live, 153.1MiB allocated

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)))

eval63.0ms (0.7%)

Memory: 9.1MiB live, 126.4MiB allocated
Compiler: Compiled 15 594 to 1 399 computations (91% saved)

prune26.0ms (0.3%)

Memory

-16.1MiB live, 60.9MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	465	24	489
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	466	24	490

Accuracy

100.0%

Counts

490 → 24

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 3 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	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))))
	99.1%	(/.f64 (/.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 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.4%	(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)) (log.f64 base))
	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))))
	54.9%	(/.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))))
▶	54.8%	(/.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))))
	99.3%	(/.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))))
	99.1%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
▶	99.1%	(/.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))))
	48.6%	(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3/2 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.1%	(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.1%	(.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #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 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.9%	(.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)))
	99.2%	(*.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))))
	94.6%	#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)))
▶	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

Compiler

Compiled 1 146 to 748 computations (34.7% saved)

simplify188.0ms (2.1%)

Memory

25.1MiB live, 264.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
cost-diff	0	(pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64))
cost-diff	15	(/.f64 (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)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
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 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
cost-diff	3	(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 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	55	353
0	87	286
1	150	280
2	382	253
3	3242	253
0	8347	252

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 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 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 8 binary64))
#s(literal 8 binary64)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 (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)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 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
#s(literal 3 binary64)
(.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))
#s(literal 2 binary64)
(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)))
(/.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 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 9 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 8 binary64))
#s(literal 8 binary64)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
#s(literal 10 binary64)
(/.f64 (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)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 (hypot.f64 im re)))
(pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 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
#s(literal 3 binary64)
(.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (log.f64 (hypot.f64 im re)) (log.f64 (hypot.f64 im re))))
(pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (log.f64 base) #s(literal 2 binary64))

localize292.0ms (3.3%)

Memory

-10.5MiB live, 105.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.38671875	(.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.4733200195368841	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.5426750488422101	(pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))
accuracy	0.7867128907376811	(pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64))
accuracy	0.3561325195368841	(/.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)))
accuracy	0.35775375976844204	(.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
accuracy	1.3617338320219559	(pow.f64 (log.f64 base) #s(literal 8 binary64))
accuracy	1.5939791332317386	(pow.f64 (log.f64 base) #s(literal 10 binary64))
accuracy	0.34765625	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy	0.37337875976844204	(/.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	0.8398555177274275	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	27.592094320098305	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
accuracy	0.0	(log.f64 im)
accuracy	0.0	(log.f64 base)
accuracy	0.33041000976844204	(/.f64 (log.f64 im) (log.f64 base))
accuracy	0.5200036251006342	#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	0.33041000976844204	(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

Samples

264.0ms

256×

valid

Compiler

Compiled 431 to 44 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-log: 108.0ms (44.7% of total)

ival-pow: 54.0ms (22.3% of total)

ival-mult: 49.0ms (20.3% of total)

ival-div: 9.0ms (3.7% of total)

ival-hypot: 9.0ms (3.7% of total)

ival-add: 5.0ms (2.1% of total)

ival-pow2: 4.0ms (1.7% of total)

ival-atan2: 2.0ms (0.8% of total)

ival-sqrt: 2.0ms (0.8% of total)

exact: 1.0ms (0.4% of total)

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

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

series327.0ms (3.7%)

Memory

3.0MiB live, 162.2MiB allocated

Counts

25 → 228

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 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 (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)) (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64))
(pow.f64 (log.f64 base) #s(literal 4 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 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(pow.f64 (log.f64 base) #s(literal 8 binary64))
(pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #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)) (pow.f64 (log.f64 base) #s(literal 2 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 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) 9) (log im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))) (* (pow (log base) 9) (log im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (pow (log base) 9) (pow im 2))))) (* (pow (log base) 9) (log im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 9) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 9) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 9)) (pow im 6))))))) (* (pow (log base) 9) (log im)))
(* (pow (log base) 3) (pow (log im) 3))
(+ (* (pow re 2) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log im) 2) (pow im 2))) (/ (pow (log im) 2) (pow im 2))))) (* (pow (log base) 3) (pow (log im) 3)))
(+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 3) (+ (* -1/4 (/ (pow (log im) 2) (pow im 4))) (+ (* 1/2 (/ (log im) (pow im 4))) (* (log im) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))))))) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log im) 2) (pow im 2))) (/ (pow (log im) 2) (pow im 2)))))) (* (pow (log base) 3) (pow (log im) 3)))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 3) (+ (* -1/4 (/ (log im) (pow im 6))) (+ (* 1/6 (/ (pow (log im) 2) (pow im 6))) (+ (* 1/2 (/ (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))) (pow im 2))) (* (log im) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))))) (* (pow (log base) 3) (+ (* -1/4 (/ (pow (log im) 2) (pow im 4))) (+ (* 1/2 (/ (log im) (pow im 4))) (* (log im) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))))))) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log im) 2) (pow im 2))) (/ (pow (log im) 2) (pow im 2)))))) (* (pow (log base) 3) (pow (log im) 3)))
(* (pow (log base) 2) (pow (log im) 2))
(+ (* (pow (log base) 2) (pow (log im) 2)) (/ (* (pow re 2) (* (pow (log base) 2) (log im))) (pow im 2)))
(+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))) (/ (* (pow (log base) 2) (log im)) (pow im 2)))) (* (pow (log base) 2) (pow (log im) 2)))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 2) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))) (* (pow (log base) 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))))) (/ (* (pow (log base) 2) (log im)) (pow im 2)))) (* (pow (log base) 2) (pow (log im) 2)))
(* (pow (log base) 4) (pow (log im) 2))
(+ (* (pow (log base) 4) (pow (log im) 2)) (/ (* (pow re 2) (* (pow (log base) 4) (log im))) (pow im 2)))
(+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 4) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))) (/ (* (pow (log base) 4) (log im)) (pow im 2)))) (* (pow (log base) 4) (pow (log im) 2)))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 4) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))) (* (pow (log base) 4) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))))) (/ (* (pow (log base) 4) (log im)) (pow im 2)))) (* (pow (log base) 4) (pow (log 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) 9) (log (/ 1 re))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))))
(* -1 (* (pow (log base) 3) (pow (log (/ 1 re)) 3)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ 1 re)) 3))) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow im 2) (pow (log (/ 1 re)) 2))) (* (pow im 2) (pow (log (/ 1 re)) 2)))) (pow re 2)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ 1 re)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ 1 re)) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re))))))) (+ (* -1/2 (* (pow im 4) (log (/ 1 re)))) (* -1/4 (* (pow im 4) (pow (log (/ 1 re)) 2)))))) (pow re 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow im 2) (pow (log (/ 1 re)) 2))) (* (pow im 2) (pow (log (/ 1 re)) 2)))) (pow re 2))))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ 1 re)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ 1 re)) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))))))) (+ (* 1/720 (* (pow (log (/ 1 re)) 2) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))) (+ (* 1/4 (* (pow im 6) (log (/ 1 re)))) (* 1/2 (* (pow im 2) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re))))))))))) (pow re 6)) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ 1 re)) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re))))))) (+ (* -1/2 (* (pow im 4) (log (/ 1 re)))) (* -1/4 (* (pow im 4) (pow (log (/ 1 re)) 2)))))) (pow re 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow im 2) (pow (log (/ 1 re)) 2))) (* (pow im 2) (pow (log (/ 1 re)) 2)))) (pow re 2)))))
(* (pow (log base) 2) (pow (log (/ 1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 2) (log (/ 1 re)))) (pow re 2))) (* (pow (log base) 2) (pow (log (/ 1 re)) 2)))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 2) (log (/ 1 re)))) (pow re 2))) (+ (* (pow (log base) 2) (pow (log (/ 1 re)) 2)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re)))))) (pow re 4))))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 2) (log (/ 1 re)))) (pow re 2))) (+ (* (pow (log base) 2) (pow (log (/ 1 re)) 2)) (+ (/ (* (pow (log base) 2) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))))) (pow re 6)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re)))))) (pow re 4)))))
(* (pow (log base) 4) (pow (log (/ 1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 4) (log (/ 1 re)))) (pow re 2))) (* (pow (log base) 4) (pow (log (/ 1 re)) 2)))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 4) (log (/ 1 re)))) (pow re 2))) (+ (* (pow (log base) 4) (pow (log (/ 1 re)) 2)) (/ (* (pow (log base) 4) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re)))))) (pow re 4))))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 4) (log (/ 1 re)))) (pow re 2))) (+ (* (pow (log base) 4) (pow (log (/ 1 re)) 2)) (+ (/ (* (pow (log base) 4) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))))) (pow re 6)) (/ (* (pow (log base) 4) (+ (* 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) 9) (log (/ -1 re))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))))
(* -1 (* (pow (log base) 3) (pow (log (/ -1 re)) 3)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ -1 re)) 3))) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow im 2) (pow (log (/ -1 re)) 2))) (* (pow im 2) (pow (log (/ -1 re)) 2)))) (pow re 2)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ -1 re)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ -1 re)) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re))))))) (+ (* -1/2 (* (pow im 4) (log (/ -1 re)))) (* -1/4 (* (pow im 4) (pow (log (/ -1 re)) 2)))))) (pow re 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow im 2) (pow (log (/ -1 re)) 2))) (* (pow im 2) (pow (log (/ -1 re)) 2)))) (pow re 2))))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ -1 re)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ -1 re)) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ -1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))))))) (+ (* 1/720 (* (pow (log (/ -1 re)) 2) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))) (+ (* 1/4 (* (pow im 6) (log (/ -1 re)))) (* 1/2 (* (pow im 2) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re))))))))))) (pow re 6)) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ -1 re)) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re))))))) (+ (* -1/2 (* (pow im 4) (log (/ -1 re)))) (* -1/4 (* (pow im 4) (pow (log (/ -1 re)) 2)))))) (pow re 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow im 2) (pow (log (/ -1 re)) 2))) (* (pow im 2) (pow (log (/ -1 re)) 2)))) (pow re 2)))))
(* (pow (log base) 2) (pow (log (/ -1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 2) (log (/ -1 re)))) (pow re 2))) (* (pow (log base) 2) (pow (log (/ -1 re)) 2)))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 2) (log (/ -1 re)))) (pow re 2))) (+ (* (pow (log base) 2) (pow (log (/ -1 re)) 2)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re)))))) (pow re 4))))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 2) (log (/ -1 re)))) (pow re 2))) (+ (* (pow (log base) 2) (pow (log (/ -1 re)) 2)) (+ (/ (* (pow (log base) 2) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ -1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))))) (pow re 6)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re)))))) (pow re 4)))))
(* (pow (log base) 4) (pow (log (/ -1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 4) (log (/ -1 re)))) (pow re 2))) (* (pow (log base) 4) (pow (log (/ -1 re)) 2)))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 4) (log (/ -1 re)))) (pow re 2))) (+ (* (pow (log base) 4) (pow (log (/ -1 re)) 2)) (/ (* (pow (log base) 4) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re)))))) (pow re 4))))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 4) (log (/ -1 re)))) (pow re 2))) (+ (* (pow (log base) 4) (pow (log (/ -1 re)) 2)) (+ (/ (* (pow (log base) 4) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ -1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))))) (pow re 6)) (/ (* (pow (log base) 4) (+ (* 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) 9) (log re))
(+ (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))) (* (pow (log base) 9) (log re)))
(+ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (pow (log base) 9) (pow re 2))))) (* (pow (log base) 9) (log re)))
(+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 9) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 9) (pow re 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 9)) (pow re 6))))))) (* (pow (log base) 9) (log re)))
(* (pow (log base) 3) (pow (log re) 3))
(+ (* (pow im 2) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log re) 2) (pow re 2))) (/ (pow (log re) 2) (pow re 2))))) (* (pow (log base) 3) (pow (log re) 3)))
(+ (* (pow im 2) (+ (* (pow im 2) (* (pow (log base) 3) (+ (* -1/4 (/ (pow (log re) 2) (pow re 4))) (+ (* 1/2 (/ (log re) (pow re 4))) (* (log re) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4))))))))) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log re) 2) (pow re 2))) (/ (pow (log re) 2) (pow re 2)))))) (* (pow (log base) 3) (pow (log re) 3)))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* (pow im 2) (* (pow (log base) 3) (+ (* -1/4 (/ (log re) (pow re 6))) (+ (* 1/6 (/ (pow (log re) 2) (pow re 6))) (+ (* 1/2 (/ (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4)))) (pow re 2))) (* (log re) (- (* 1/3 (/ (log re) (pow re 6))) (* 1/4 (/ 1 (pow re 6)))))))))) (* (pow (log base) 3) (+ (* -1/4 (/ (pow (log re) 2) (pow re 4))) (+ (* 1/2 (/ (log re) (pow re 4))) (* (log re) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4)))))))))) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log re) 2) (pow re 2))) (/ (pow (log re) 2) (pow re 2)))))) (* (pow (log base) 3) (pow (log re) 3)))
(* (pow (log base) 2) (pow (log re) 2))
(+ (* (pow (log base) 2) (pow (log re) 2)) (/ (* (pow im 2) (* (pow (log base) 2) (log re))) (pow re 2)))
(+ (* (pow im 2) (+ (* (pow im 2) (* (pow (log base) 2) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4)))))) (/ (* (pow (log base) 2) (log re)) (pow re 2)))) (* (pow (log base) 2) (pow (log re) 2)))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* (pow im 2) (* (pow (log base) 2) (- (* 1/3 (/ (log re) (pow re 6))) (* 1/4 (/ 1 (pow re 6)))))) (* (pow (log base) 2) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4))))))) (/ (* (pow (log base) 2) (log re)) (pow re 2)))) (* (pow (log base) 2) (pow (log re) 2)))
(* (pow (log base) 4) (pow (log re) 2))
(+ (* (pow (log base) 4) (pow (log re) 2)) (/ (* (pow im 2) (* (pow (log base) 4) (log re))) (pow re 2)))
(+ (* (pow im 2) (+ (* (pow im 2) (* (pow (log base) 4) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4)))))) (/ (* (pow (log base) 4) (log re)) (pow re 2)))) (* (pow (log base) 4) (pow (log re) 2)))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* (pow im 2) (* (pow (log base) 4) (- (* 1/3 (/ (log re) (pow re 6))) (* 1/4 (/ 1 (pow re 6)))))) (* (pow (log base) 4) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4))))))) (/ (* (pow (log base) 4) (log re)) (pow re 2)))) (* (pow (log base) 4) (pow (log 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) 9) (log (/ 1 im))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))))
(* -1 (* (pow (log base) 3) (pow (log (/ 1 im)) 3)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ 1 im)) 3))) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow re 2) (pow (log (/ 1 im)) 2))) (* (pow re 2) (pow (log (/ 1 im)) 2)))) (pow im 2)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ 1 im)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ 1 im)) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im))))))) (+ (* -1/2 (* (pow re 4) (log (/ 1 im)))) (* -1/4 (* (pow re 4) (pow (log (/ 1 im)) 2)))))) (pow im 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow re 2) (pow (log (/ 1 im)) 2))) (* (pow re 2) (pow (log (/ 1 im)) 2)))) (pow im 2))))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ 1 im)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ 1 im)) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))))))) (+ (* 1/720 (* (pow (log (/ 1 im)) 2) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))) (+ (* 1/4 (* (pow re 6) (log (/ 1 im)))) (* 1/2 (* (pow re 2) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im))))))))))) (pow im 6)) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ 1 im)) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im))))))) (+ (* -1/2 (* (pow re 4) (log (/ 1 im)))) (* -1/4 (* (pow re 4) (pow (log (/ 1 im)) 2)))))) (pow im 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow re 2) (pow (log (/ 1 im)) 2))) (* (pow re 2) (pow (log (/ 1 im)) 2)))) (pow im 2)))))
(* (pow (log base) 2) (pow (log (/ 1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ 1 im)))) (pow im 2))) (* (pow (log base) 2) (pow (log (/ 1 im)) 2)))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ 1 im)))) (pow im 2))) (+ (* (pow (log base) 2) (pow (log (/ 1 im)) 2)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im)))))) (pow im 4))))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ 1 im)))) (pow im 2))) (+ (* (pow (log base) 2) (pow (log (/ 1 im)) 2)) (+ (/ (* (pow (log base) 2) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im)))))) (pow im 4)))))
(* (pow (log base) 4) (pow (log (/ 1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ 1 im)))) (pow im 2))) (* (pow (log base) 4) (pow (log (/ 1 im)) 2)))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ 1 im)))) (pow im 2))) (+ (* (pow (log base) 4) (pow (log (/ 1 im)) 2)) (/ (* (pow (log base) 4) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im)))))) (pow im 4))))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ 1 im)))) (pow im 2))) (+ (* (pow (log base) 4) (pow (log (/ 1 im)) 2)) (+ (/ (* (pow (log base) 4) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (pow (log base) 4) (+ (* 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) 9) (log (/ -1 im))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))))
(* -1 (* (pow (log base) 3) (pow (log (/ -1 im)) 3)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ -1 im)) 3))) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow re 2) (pow (log (/ -1 im)) 2))) (* (pow re 2) (pow (log (/ -1 im)) 2)))) (pow im 2)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ -1 im)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ -1 im)) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im))))))) (+ (* -1/2 (* (pow re 4) (log (/ -1 im)))) (* -1/4 (* (pow re 4) (pow (log (/ -1 im)) 2)))))) (pow im 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow re 2) (pow (log (/ -1 im)) 2))) (* (pow re 2) (pow (log (/ -1 im)) 2)))) (pow im 2))))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ -1 im)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ -1 im)) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))))))) (+ (* 1/720 (* (pow (log (/ -1 im)) 2) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))) (+ (* 1/4 (* (pow re 6) (log (/ -1 im)))) (* 1/2 (* (pow re 2) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im))))))))))) (pow im 6)) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ -1 im)) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im))))))) (+ (* -1/2 (* (pow re 4) (log (/ -1 im)))) (* -1/4 (* (pow re 4) (pow (log (/ -1 im)) 2)))))) (pow im 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow re 2) (pow (log (/ -1 im)) 2))) (* (pow re 2) (pow (log (/ -1 im)) 2)))) (pow im 2)))))
(* (pow (log base) 2) (pow (log (/ -1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ -1 im)))) (pow im 2))) (* (pow (log base) 2) (pow (log (/ -1 im)) 2)))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ -1 im)))) (pow im 2))) (+ (* (pow (log base) 2) (pow (log (/ -1 im)) 2)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im)))))) (pow im 4))))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ -1 im)))) (pow im 2))) (+ (* (pow (log base) 2) (pow (log (/ -1 im)) 2)) (+ (/ (* (pow (log base) 2) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im)))))) (pow im 4)))))
(* (pow (log base) 4) (pow (log (/ -1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ -1 im)))) (pow im 2))) (* (pow (log base) 4) (pow (log (/ -1 im)) 2)))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ -1 im)))) (pow im 2))) (+ (* (pow (log base) 4) (pow (log (/ -1 im)) 2)) (/ (* (pow (log base) 4) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im)))))) (pow im 4))))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ -1 im)))) (pow im 2))) (+ (* (pow (log base) 4) (pow (log (/ -1 im)) 2)) (+ (/ (* (pow (log base) 4) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (pow (log base) 4) (+ (* 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) 9) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (pow (log base) 3) (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 3))
(pow (log base) 4)
(pow (log base) 10)
(pow (log base) 8)
(* (pow (log base) 2) (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2))
(* (pow (log base) 4) (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)) 9)))
(* -1 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 3) (pow (log (/ 1 base)) 3)))
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 10)
(pow (log (/ 1 base)) 8)
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (pow (log (/ 1 base)) 2))
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (pow (log (/ 1 base)) 4))
(/ (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)))) 9))
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 3) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4))

Calls

9 calls:

Time	Variable		Point	Expression
93.0ms	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) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 3) (* (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2))) (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 3) (pow (log base) 4) (/ (+ (* (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)) (pow (log base) 10) (pow (log base) 8) (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2) (* (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2)))
68.0ms	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) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 3) (* (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2))) (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 3) (pow (log base) 4) (/ (+ (* (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)) (pow (log base) 10) (pow (log base) 8) (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2) (* (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2)))
67.0ms	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) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 3) (* (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2))) (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 3) (pow (log base) 4) (/ (+ (* (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)) (pow (log base) 10) (pow (log base) 8) (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2) (* (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2)))
34.0ms	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) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 3) (* (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2))) (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 3) (pow (log base) 4) (/ (+ (* (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)) (pow (log base) 10) (pow (log base) 8) (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2) (* (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2)))
25.0ms	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) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 3) (* (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2))) (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 3) (pow (log base) 4) (/ (+ (* (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)) (pow (log base) 10) (pow (log base) 8) (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2) (* (pow (* (log base) (log (sqrt (+ (* im im) (* re re))))) 2) (pow (log base) 2)))

simplify202.0ms (2.3%)

Memory

-15.3MiB live, 99.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	936	6996
1	3220	6656
0	8381	6212

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 226

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) 9) (log im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))) (* (pow (log base) 9) (log im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (pow (log base) 9) (pow im 2))))) (* (pow (log base) 9) (log im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 9) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 9) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 9)) (pow im 6))))))) (* (pow (log base) 9) (log im)))
(* (pow (log base) 3) (pow (log im) 3))
(+ (* (pow re 2) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log im) 2) (pow im 2))) (/ (pow (log im) 2) (pow im 2))))) (* (pow (log base) 3) (pow (log im) 3)))
(+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 3) (+ (* -1/4 (/ (pow (log im) 2) (pow im 4))) (+ (* 1/2 (/ (log im) (pow im 4))) (* (log im) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))))))) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log im) 2) (pow im 2))) (/ (pow (log im) 2) (pow im 2)))))) (* (pow (log base) 3) (pow (log im) 3)))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 3) (+ (* -1/4 (/ (log im) (pow im 6))) (+ (* 1/6 (/ (pow (log im) 2) (pow im 6))) (+ (* 1/2 (/ (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))) (pow im 2))) (* (log im) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))))) (* (pow (log base) 3) (+ (* -1/4 (/ (pow (log im) 2) (pow im 4))) (+ (* 1/2 (/ (log im) (pow im 4))) (* (log im) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))))))) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log im) 2) (pow im 2))) (/ (pow (log im) 2) (pow im 2)))))) (* (pow (log base) 3) (pow (log im) 3)))
(* (pow (log base) 2) (pow (log im) 2))
(+ (* (pow (log base) 2) (pow (log im) 2)) (/ (* (pow re 2) (* (pow (log base) 2) (log im))) (pow im 2)))
(+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))) (/ (* (pow (log base) 2) (log im)) (pow im 2)))) (* (pow (log base) 2) (pow (log im) 2)))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 2) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))) (* (pow (log base) 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))))) (/ (* (pow (log base) 2) (log im)) (pow im 2)))) (* (pow (log base) 2) (pow (log im) 2)))
(* (pow (log base) 4) (pow (log im) 2))
(+ (* (pow (log base) 4) (pow (log im) 2)) (/ (* (pow re 2) (* (pow (log base) 4) (log im))) (pow im 2)))
(+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 4) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))) (/ (* (pow (log base) 4) (log im)) (pow im 2)))) (* (pow (log base) 4) (pow (log im) 2)))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 4) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))) (* (pow (log base) 4) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))))) (/ (* (pow (log base) 4) (log im)) (pow im 2)))) (* (pow (log base) 4) (pow (log 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) 9) (log (/ 1 re))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))))
(* -1 (* (pow (log base) 3) (pow (log (/ 1 re)) 3)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ 1 re)) 3))) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow im 2) (pow (log (/ 1 re)) 2))) (* (pow im 2) (pow (log (/ 1 re)) 2)))) (pow re 2)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ 1 re)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ 1 re)) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re))))))) (+ (* -1/2 (* (pow im 4) (log (/ 1 re)))) (* -1/4 (* (pow im 4) (pow (log (/ 1 re)) 2)))))) (pow re 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow im 2) (pow (log (/ 1 re)) 2))) (* (pow im 2) (pow (log (/ 1 re)) 2)))) (pow re 2))))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ 1 re)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ 1 re)) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))))))) (+ (* 1/720 (* (pow (log (/ 1 re)) 2) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))) (+ (* 1/4 (* (pow im 6) (log (/ 1 re)))) (* 1/2 (* (pow im 2) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re))))))))))) (pow re 6)) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ 1 re)) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re))))))) (+ (* -1/2 (* (pow im 4) (log (/ 1 re)))) (* -1/4 (* (pow im 4) (pow (log (/ 1 re)) 2)))))) (pow re 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow im 2) (pow (log (/ 1 re)) 2))) (* (pow im 2) (pow (log (/ 1 re)) 2)))) (pow re 2)))))
(* (pow (log base) 2) (pow (log (/ 1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 2) (log (/ 1 re)))) (pow re 2))) (* (pow (log base) 2) (pow (log (/ 1 re)) 2)))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 2) (log (/ 1 re)))) (pow re 2))) (+ (* (pow (log base) 2) (pow (log (/ 1 re)) 2)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re)))))) (pow re 4))))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 2) (log (/ 1 re)))) (pow re 2))) (+ (* (pow (log base) 2) (pow (log (/ 1 re)) 2)) (+ (/ (* (pow (log base) 2) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))))) (pow re 6)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re)))))) (pow re 4)))))
(* (pow (log base) 4) (pow (log (/ 1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 4) (log (/ 1 re)))) (pow re 2))) (* (pow (log base) 4) (pow (log (/ 1 re)) 2)))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 4) (log (/ 1 re)))) (pow re 2))) (+ (* (pow (log base) 4) (pow (log (/ 1 re)) 2)) (/ (* (pow (log base) 4) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ 1 re)))))) (pow re 4))))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 4) (log (/ 1 re)))) (pow re 2))) (+ (* (pow (log base) 4) (pow (log (/ 1 re)) 2)) (+ (/ (* (pow (log base) 4) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ 1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))))) (pow re 6)) (/ (* (pow (log base) 4) (+ (* 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) 9) (log (/ -1 re))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))))
(* -1 (* (pow (log base) 3) (pow (log (/ -1 re)) 3)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ -1 re)) 3))) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow im 2) (pow (log (/ -1 re)) 2))) (* (pow im 2) (pow (log (/ -1 re)) 2)))) (pow re 2)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ -1 re)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ -1 re)) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re))))))) (+ (* -1/2 (* (pow im 4) (log (/ -1 re)))) (* -1/4 (* (pow im 4) (pow (log (/ -1 re)) 2)))))) (pow re 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow im 2) (pow (log (/ -1 re)) 2))) (* (pow im 2) (pow (log (/ -1 re)) 2)))) (pow re 2))))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ -1 re)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ -1 re)) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ -1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))))))) (+ (* 1/720 (* (pow (log (/ -1 re)) 2) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))) (+ (* 1/4 (* (pow im 6) (log (/ -1 re)))) (* 1/2 (* (pow im 2) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re))))))))))) (pow re 6)) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ -1 re)) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re))))))) (+ (* -1/2 (* (pow im 4) (log (/ -1 re)))) (* -1/4 (* (pow im 4) (pow (log (/ -1 re)) 2)))))) (pow re 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow im 2) (pow (log (/ -1 re)) 2))) (* (pow im 2) (pow (log (/ -1 re)) 2)))) (pow re 2)))))
(* (pow (log base) 2) (pow (log (/ -1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 2) (log (/ -1 re)))) (pow re 2))) (* (pow (log base) 2) (pow (log (/ -1 re)) 2)))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 2) (log (/ -1 re)))) (pow re 2))) (+ (* (pow (log base) 2) (pow (log (/ -1 re)) 2)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re)))))) (pow re 4))))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 2) (log (/ -1 re)))) (pow re 2))) (+ (* (pow (log base) 2) (pow (log (/ -1 re)) 2)) (+ (/ (* (pow (log base) 2) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ -1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))))) (pow re 6)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re)))))) (pow re 4)))))
(* (pow (log base) 4) (pow (log (/ -1 re)) 2))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 4) (log (/ -1 re)))) (pow re 2))) (* (pow (log base) 4) (pow (log (/ -1 re)) 2)))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 4) (log (/ -1 re)))) (pow re 2))) (+ (* (pow (log base) 4) (pow (log (/ -1 re)) 2)) (/ (* (pow (log base) 4) (+ (* 1/4 (pow im 4)) (* 1/2 (* (pow im 4) (log (/ -1 re)))))) (pow re 4))))
(+ (* -1 (/ (* (pow im 2) (* (pow (log base) 4) (log (/ -1 re)))) (pow re 2))) (+ (* (pow (log base) 4) (pow (log (/ -1 re)) 2)) (+ (/ (* (pow (log base) 4) (+ (* -1/4 (pow im 6)) (* -1/360 (* (log (/ -1 re)) (+ (* 30 (pow im 6)) (* 90 (pow im 6))))))) (pow re 6)) (/ (* (pow (log base) 4) (+ (* 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) 9) (log re))
(+ (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))) (* (pow (log base) 9) (log re)))
(+ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (pow (log base) 9) (pow re 2))))) (* (pow (log base) 9) (log re)))
(+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 9) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 9) (pow re 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 9)) (pow re 6))))))) (* (pow (log base) 9) (log re)))
(* (pow (log base) 3) (pow (log re) 3))
(+ (* (pow im 2) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log re) 2) (pow re 2))) (/ (pow (log re) 2) (pow re 2))))) (* (pow (log base) 3) (pow (log re) 3)))
(+ (* (pow im 2) (+ (* (pow im 2) (* (pow (log base) 3) (+ (* -1/4 (/ (pow (log re) 2) (pow re 4))) (+ (* 1/2 (/ (log re) (pow re 4))) (* (log re) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4))))))))) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log re) 2) (pow re 2))) (/ (pow (log re) 2) (pow re 2)))))) (* (pow (log base) 3) (pow (log re) 3)))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* (pow im 2) (* (pow (log base) 3) (+ (* -1/4 (/ (log re) (pow re 6))) (+ (* 1/6 (/ (pow (log re) 2) (pow re 6))) (+ (* 1/2 (/ (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4)))) (pow re 2))) (* (log re) (- (* 1/3 (/ (log re) (pow re 6))) (* 1/4 (/ 1 (pow re 6)))))))))) (* (pow (log base) 3) (+ (* -1/4 (/ (pow (log re) 2) (pow re 4))) (+ (* 1/2 (/ (log re) (pow re 4))) (* (log re) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4)))))))))) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log re) 2) (pow re 2))) (/ (pow (log re) 2) (pow re 2)))))) (* (pow (log base) 3) (pow (log re) 3)))
(* (pow (log base) 2) (pow (log re) 2))
(+ (* (pow (log base) 2) (pow (log re) 2)) (/ (* (pow im 2) (* (pow (log base) 2) (log re))) (pow re 2)))
(+ (* (pow im 2) (+ (* (pow im 2) (* (pow (log base) 2) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4)))))) (/ (* (pow (log base) 2) (log re)) (pow re 2)))) (* (pow (log base) 2) (pow (log re) 2)))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* (pow im 2) (* (pow (log base) 2) (- (* 1/3 (/ (log re) (pow re 6))) (* 1/4 (/ 1 (pow re 6)))))) (* (pow (log base) 2) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4))))))) (/ (* (pow (log base) 2) (log re)) (pow re 2)))) (* (pow (log base) 2) (pow (log re) 2)))
(* (pow (log base) 4) (pow (log re) 2))
(+ (* (pow (log base) 4) (pow (log re) 2)) (/ (* (pow im 2) (* (pow (log base) 4) (log re))) (pow re 2)))
(+ (* (pow im 2) (+ (* (pow im 2) (* (pow (log base) 4) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4)))))) (/ (* (pow (log base) 4) (log re)) (pow re 2)))) (* (pow (log base) 4) (pow (log re) 2)))
(+ (* (pow im 2) (+ (* (pow im 2) (+ (* (pow im 2) (* (pow (log base) 4) (- (* 1/3 (/ (log re) (pow re 6))) (* 1/4 (/ 1 (pow re 6)))))) (* (pow (log base) 4) (+ (* -1/2 (/ (log re) (pow re 4))) (* 1/4 (/ 1 (pow re 4))))))) (/ (* (pow (log base) 4) (log re)) (pow re 2)))) (* (pow (log base) 4) (pow (log 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) 9) (log (/ 1 im))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))))
(* -1 (* (pow (log base) 3) (pow (log (/ 1 im)) 3)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ 1 im)) 3))) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow re 2) (pow (log (/ 1 im)) 2))) (* (pow re 2) (pow (log (/ 1 im)) 2)))) (pow im 2)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ 1 im)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ 1 im)) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im))))))) (+ (* -1/2 (* (pow re 4) (log (/ 1 im)))) (* -1/4 (* (pow re 4) (pow (log (/ 1 im)) 2)))))) (pow im 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow re 2) (pow (log (/ 1 im)) 2))) (* (pow re 2) (pow (log (/ 1 im)) 2)))) (pow im 2))))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ 1 im)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ 1 im)) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))))))) (+ (* 1/720 (* (pow (log (/ 1 im)) 2) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))) (+ (* 1/4 (* (pow re 6) (log (/ 1 im)))) (* 1/2 (* (pow re 2) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im))))))))))) (pow im 6)) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ 1 im)) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im))))))) (+ (* -1/2 (* (pow re 4) (log (/ 1 im)))) (* -1/4 (* (pow re 4) (pow (log (/ 1 im)) 2)))))) (pow im 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow re 2) (pow (log (/ 1 im)) 2))) (* (pow re 2) (pow (log (/ 1 im)) 2)))) (pow im 2)))))
(* (pow (log base) 2) (pow (log (/ 1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ 1 im)))) (pow im 2))) (* (pow (log base) 2) (pow (log (/ 1 im)) 2)))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ 1 im)))) (pow im 2))) (+ (* (pow (log base) 2) (pow (log (/ 1 im)) 2)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im)))))) (pow im 4))))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ 1 im)))) (pow im 2))) (+ (* (pow (log base) 2) (pow (log (/ 1 im)) 2)) (+ (/ (* (pow (log base) 2) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im)))))) (pow im 4)))))
(* (pow (log base) 4) (pow (log (/ 1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ 1 im)))) (pow im 2))) (* (pow (log base) 4) (pow (log (/ 1 im)) 2)))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ 1 im)))) (pow im 2))) (+ (* (pow (log base) 4) (pow (log (/ 1 im)) 2)) (/ (* (pow (log base) 4) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ 1 im)))))) (pow im 4))))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ 1 im)))) (pow im 2))) (+ (* (pow (log base) 4) (pow (log (/ 1 im)) 2)) (+ (/ (* (pow (log base) 4) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ 1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (pow (log base) 4) (+ (* 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) 9) (log (/ -1 im))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))))
(* -1 (* (pow (log base) 3) (pow (log (/ -1 im)) 3)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ -1 im)) 3))) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow re 2) (pow (log (/ -1 im)) 2))) (* (pow re 2) (pow (log (/ -1 im)) 2)))) (pow im 2)))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ -1 im)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ -1 im)) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im))))))) (+ (* -1/2 (* (pow re 4) (log (/ -1 im)))) (* -1/4 (* (pow re 4) (pow (log (/ -1 im)) 2)))))) (pow im 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow re 2) (pow (log (/ -1 im)) 2))) (* (pow re 2) (pow (log (/ -1 im)) 2)))) (pow im 2))))
(+ (* -1 (* (pow (log base) 3) (pow (log (/ -1 im)) 3))) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ -1 im)) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))))))) (+ (* 1/720 (* (pow (log (/ -1 im)) 2) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))) (+ (* 1/4 (* (pow re 6) (log (/ -1 im)))) (* 1/2 (* (pow re 2) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im))))))))))) (pow im 6)) (+ (/ (* (pow (log base) 3) (+ (* -1 (* (log (/ -1 im)) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im))))))) (+ (* -1/2 (* (pow re 4) (log (/ -1 im)))) (* -1/4 (* (pow re 4) (pow (log (/ -1 im)) 2)))))) (pow im 4)) (/ (* (pow (log base) 3) (+ (* 1/2 (* (pow re 2) (pow (log (/ -1 im)) 2))) (* (pow re 2) (pow (log (/ -1 im)) 2)))) (pow im 2)))))
(* (pow (log base) 2) (pow (log (/ -1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ -1 im)))) (pow im 2))) (* (pow (log base) 2) (pow (log (/ -1 im)) 2)))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ -1 im)))) (pow im 2))) (+ (* (pow (log base) 2) (pow (log (/ -1 im)) 2)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im)))))) (pow im 4))))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ -1 im)))) (pow im 2))) (+ (* (pow (log base) 2) (pow (log (/ -1 im)) 2)) (+ (/ (* (pow (log base) 2) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (pow (log base) 2) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im)))))) (pow im 4)))))
(* (pow (log base) 4) (pow (log (/ -1 im)) 2))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ -1 im)))) (pow im 2))) (* (pow (log base) 4) (pow (log (/ -1 im)) 2)))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ -1 im)))) (pow im 2))) (+ (* (pow (log base) 4) (pow (log (/ -1 im)) 2)) (/ (* (pow (log base) 4) (+ (* 1/4 (pow re 4)) (* 1/2 (* (pow re 4) (log (/ -1 im)))))) (pow im 4))))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ -1 im)))) (pow im 2))) (+ (* (pow (log base) 4) (pow (log (/ -1 im)) 2)) (+ (/ (* (pow (log base) 4) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (pow (log base) 4) (+ (* 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) 9) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (pow (log base) 3) (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 3))
(pow (log base) 4)
(pow (log base) 10)
(pow (log base) 8)
(* (pow (log base) 2) (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2))
(* (pow (log base) 4) (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)) 9)))
(* -1 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 3) (pow (log (/ 1 base)) 3)))
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 10)
(pow (log (/ 1 base)) 8)
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (pow (log (/ 1 base)) 2))
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (pow (log (/ 1 base)) 4))
(/ (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)))) 9))
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 3) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (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 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 (.f64 re re) (pow.f64 im #s(literal 4 binary64))) (/.f64 (/.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 (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) (.f64 im im)) (log.f64 base))) (.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 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re 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 (.f64 re 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 (.f64 re 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 (*.f64 re re) im) #s(literal 1/2 binary64) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (fma.f64 (/.f64 (.f64 re 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 (.f64 re 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 (log.f64 base) im) (/.f64 (.f64 re re) im)) #s(literal 1/2 binary64) (*.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 (log.f64 base) (.f64 im im)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (.f64 re re) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64))) (.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 (.f64 (.f64 re re) (log.f64 base)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 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) 9) (log im))
(*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))) (* (pow (log base) 9) (log im)))
(fma.f64 (.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) im) (/.f64 (.f64 re re) im)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (pow (log base) 9) (pow im 2))))) (* (pow (log base) 9) (log im)))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (.f64 im im)) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (.f64 re re)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/4 binary64))) (.f64 re re) (.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 9) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 9) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 9)) (pow im 6))))))) (* (pow (log base) 9) (log im)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (.f64 re re)) (pow.f64 im #s(literal 6 binary64))) #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 base) #s(literal 9 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 9 binary64)) im))) (.f64 re re) (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im)))
(* (pow (log base) 3) (pow (log im) 3))
(pow.f64 (*.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64))
(+ (* (pow re 2) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log im) 2) (pow im 2))) (/ (pow (log im) 2) (pow im 2))))) (* (pow (log base) 3) (pow (log im) 3)))
(fma.f64 (.f64 (.f64 re re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 im im)) (pow.f64 (*.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 3) (+ (* -1/4 (/ (pow (log im) 2) (pow im 4))) (+ (* 1/2 (/ (log im) (pow im 4))) (* (log im) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))))))) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log im) 2) (pow im 2))) (/ (pow (log im) 2) (pow im 2)))))) (* (pow (log base) 3) (pow (log im) 3)))
(fma.f64 (fma.f64 (.f64 (.f64 re re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 im))) (pow.f64 im #s(literal 4 binary64))) (.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 im))) (.f64 (/.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 im im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 re re) (pow.f64 (*.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 3) (+ (* -1/4 (/ (log im) (pow im 6))) (+ (* 1/6 (/ (pow (log im) 2) (pow im 6))) (+ (* 1/2 (/ (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))) (pow im 2))) (* (log im) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))))))) (* (pow (log base) 3) (+ (* -1/4 (/ (pow (log im) 2) (pow im 4))) (+ (* 1/2 (/ (log im) (pow im 4))) (* (log im) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))))))) (* (pow (log base) 3) (+ (* 1/2 (/ (pow (log im) 2) (pow im 2))) (/ (pow (log im) 2) (pow im 2)))))) (* (pow (log base) 3) (pow (log im) 3)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 re re) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (log.f64 im) (.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64)))) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 im) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 6 binary64)))) (log.f64 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))) (.f64 im im)) #s(literal 1/2 binary64)))) (.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 im))) (pow.f64 im #s(literal 4 binary64))) (.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 im))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 re re) (.f64 (/.f64 (.f64 #s(literal 3/2 binary64) (pow.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 im im)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.f64 re re) (pow.f64 (.f64 (log.f64 im) (log.f64 base)) #s(literal 3 binary64)))
(* (pow (log base) 2) (pow (log im) 2))
(*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+ (* (pow (log base) 2) (pow (log im) 2)) (/ (* (pow re 2) (* (pow (log base) 2) (log im))) (pow im 2)))
(fma.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (.f64 re re) (*.f64 (/.f64 (log.f64 im) im) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) im))))
(+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4)))))) (/ (* (pow (log base) 2) (log im)) (pow im 2)))) (* (pow (log base) 2) (pow (log im) 2)))
(fma.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 (log.f64 im) im) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) im) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.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 re re)))
(+ (* (pow re 2) (+ (* (pow re 2) (+ (* (pow re 2) (* (pow (log base) 2) (- (* 1/3 (/ (log im) (pow im 6))) (* 1/4 (/ 1 (pow im 6)))))) (* (pow (log base) 2) (+ (* -1/2 (/ (log im) (pow im 4))) (* 1/4 (/ 1 (pow im 4))))))) (/ (* (pow (log base) 2) (log im)) (pow im 2)))) (* (pow (log base) 2) (pow (log im) 2)))
(fma.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (fma.f64 (/.f64 (log.f64 im) im) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) im) (.f64 (fma.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 im) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 6 binary64))))) (.f64 re re) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.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 re re)))
(* (pow (log base) 4) (pow (log im) 2))
(*.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(+ (* (pow (log base) 4) (pow (log im) 2)) (/ (* (pow re 2) (* (pow (log base) 4) (log im))) (pow im 2)))
(fma.f64 (pow.f64 (log.f64 im) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (.f64 re re) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) im) (/.f64 (log.f64 im) im))))
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(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) #s(literal -1/360 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/4 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64))) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 6 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))))) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 3/2 binary64) im) (/.f64 (.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (.f64 re re)) im) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) im))) (fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im))) #s(literal 3 binary64))))
(* (pow (log base) 2) (pow (log (/ -1 im)) 2))
(*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ -1 im)))) (pow im 2))) (* (pow (log base) 2) (pow (log (/ -1 im)) 2)))
(fma.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 re re)) (.f64 (neg.f64 im) im)))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 2) (log (/ -1 im)))) (pow im 2))) (+ (* (pow (log base) 2) (pow (log (/ -1 im)) 2)) (/ (* (pow (log base) 2) (+ (* 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)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 im im)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 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) (* (pow (log base) 2) (log (/ -1 im)))) (pow im 2))) (+ (* (pow (log base) 2) (pow (log (/ -1 im)) 2)) (+ (/ (* (pow (log base) 2) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (pow (log base) 2) (+ (* 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)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 im im)) (fma.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (+.f64 (/.f64 (fma.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) #s(literal -1/360 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 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 (log base) 4) (pow (log (/ -1 im)) 2))
(*.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ -1 im)))) (pow im 2))) (* (pow (log base) 4) (pow (log (/ -1 im)) 2)))
(fma.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 (.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 re re)) (.f64 (neg.f64 im) im)))
(+ (* -1 (/ (* (pow re 2) (* (pow (log base) 4) (log (/ -1 im)))) (pow im 2))) (+ (* (pow (log base) 4) (pow (log (/ -1 im)) 2)) (/ (* (pow (log base) 4) (+ (* 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)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 im im)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 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) (* (pow (log base) 4) (log (/ -1 im)))) (pow im 2))) (+ (* (pow (log base) 4) (pow (log (/ -1 im)) 2)) (+ (/ (* (pow (log base) 4) (+ (* -1/4 (pow re 6)) (* -1/360 (* (log (/ -1 im)) (+ (* 30 (pow re 6)) (* 90 (pow re 6))))))) (pow im 6)) (/ (* (pow (log base) 4) (+ (* 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)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (.f64 im im)) (fma.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (+.f64 (/.f64 (fma.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64))) #s(literal -1/360 binary64) (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 4 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)))))))
(/ (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) 9) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 9 binary64)))
(* (pow (log base) 3) (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 3))
(pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64))
(pow (log base) 4)
(pow.f64 (log.f64 base) #s(literal 4 binary64))
(pow (log base) 10)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(pow (log base) 8)
(pow.f64 (log.f64 base) #s(literal 8 binary64))
(* (pow (log base) 2) (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* (pow (log base) 4) (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 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 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)) 9)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 9 binary64))) (log.f64 (hypot.f64 im re)))
(* -1 (* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 3) (pow (log (/ 1 base)) 3)))
(pow.f64 (*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(literal 3 binary64))
(pow (log (/ 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64))
(pow (log (/ 1 base)) 10)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 10 binary64))
(pow (log (/ 1 base)) 8)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 8 binary64))
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (pow (log (/ 1 base)) 2))
(*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (pow (log (/ 1 base)) 4))
(*.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 4 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #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 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)))) 9))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 9 binary64)) (log.f64 (hypot.f64 im re)))
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 3) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3))
(pow.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64))
(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)))) 10)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 10 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 (sqrt (+ (pow im 2) (pow re 2)))) 2) (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 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)))
(* (pow (log (sqrt (+ (pow im 2) (pow re 2)))) 2) (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 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)))

rewrite339.0ms (3.8%)

Memory

35.5MiB live, 228.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	273
0	87	203
1	268	183
2	1557	165
0	8774	165

Stop Event

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

Counts

25 → 2 430

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

eval637.0ms (7.2%)

Memory: 13.3MiB live, 482.7MiB allocated
Compiler: Compiled 80 119 to 6 760 computations (91.6% saved)

prune66.0ms (0.8%)

Memory

-5.5MiB live, 157.2MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	2 193	17	2 210
Fresh	14	5	19
Picked	3	2	5
Done	0	0	0
Total	2 210	24	2 234

Accuracy

100.0%

Counts

2 234 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 2 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 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 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)))
▶	98.3%	(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 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))))
	98.4%	(/.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))))
	98.4%	(/.f64 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	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)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
	99.2%	(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.9%	(.f64 (log.f64 base) (/.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))))
▶	99.2%	(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (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))))
	72.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64))) (log.f64 base)))
▶	55.0%	#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)))
▶	47.1%	#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)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	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)))
	94.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64) im))) (log.f64 base)))
	46.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.5%	#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)))))
	98.6%	#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 2 binary64)) (log.f64 base))))
	47.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.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)))))
✓	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) (log.f64 base)))
	46.6%	#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)))))

Compiler

Compiled 1 316 to 899 computations (31.7% saved)

simplify63.0ms (0.7%)

Memory

2.3MiB live, 78.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(log.f64 base)
cost-diff	0	(.f64 (log.f64 base) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)))
cost-diff	0	(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
cost-diff	3	(.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	0	(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	5	(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	0	(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.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)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
cost-diff	3	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 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	(pow.f64 (log.f64 base) #s(literal -1 binary64))
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)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	282
0	74	251
1	124	244
2	264	222
3	717	222
4	3108	222
0	8192	222

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
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 (.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
#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)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal 2 binary64)
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log.f64 base)
base
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(.f64 (log.f64 base) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)))
(log.f64 base)
base
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
(log.f64 im)
im
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
#s(literal 10 binary64)

Outputs
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 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
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(log.f64 base)
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 (.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
#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)) (pow.f64 (sqrt.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))) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.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
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(log.f64 base)
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal 2 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 re im)) (log.f64 base))
(log.f64 base)
base
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(log.f64 (hypot.f64 im re))
(log.f64 (hypot.f64 re im))
(hypot.f64 im re)
(hypot.f64 re im)
im
re
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)))
(.f64 (log.f64 base) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)))
(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (log.f64 base))
(log.f64 base)
base
#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
(log.f64 im)
im
(pow.f64 (log.f64 base) #s(literal 8 binary64))
#s(literal 8 binary64)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
#s(literal 10 binary64)

localize177.0ms (2%)

Memory

-23.2MiB live, 267.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.174160009768442	(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
accuracy	0.19140625	(.f64 (log.f64 base) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)))
accuracy	0.6827845075946254	(pow.f64 (log.f64 base) #s(literal 8 binary64))
accuracy	0.8081632833893102	(pow.f64 (log.f64 base) #s(literal 10 binary64))
accuracy	0.0	(log.f64 base)
accuracy	0.15072250976844204	(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.19921875	(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.23894501953688402	(pow.f64 (log.f64 base) #s(literal 2 binary64))
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)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
accuracy	0.0703125	(sqrt.f64 (log.f64 base))
accuracy	0.178066259768442	(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
accuracy	0.274101269536884	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 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	0.178066259768442	(/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base))
accuracy	11.668533754119455	(log.f64 (fma.f64 im im (*.f64 re re)))
accuracy	0.0	(log.f64 (hypot.f64 im re))
accuracy	0.0	(log.f64 base)
accuracy	0.1640625	(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy	0.1875	(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))

Samples

53.0ms	134×	0	invalid
44.0ms	122×	0	valid

Compiler

Compiled 326 to 44 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 15.0ms (19.8% of total)

ival-log: 15.0ms (19.8% of total)

ival-hypot: 13.0ms (17.2% of total)

ival-pow: 11.0ms (14.5% of total)

ival-div: 7.0ms (9.2% of total)

ival-add: 5.0ms (6.6% of total)

ival-pow2: 5.0ms (6.6% of total)

ival-sqrt: 4.0ms (5.3% of total)

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

exact: 1.0ms (1.3% of total)

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

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

series131.0ms (1.5%)

Memory

-8.4MiB live, 226.7MiB allocated

Counts

21 → 223

Calls

Call 1

Inputs
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
(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 (.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)))
(pow.f64 (sqrt.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))) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log.f64 base)
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(.f64 (log.f64 base) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)))
(sqrt.f64 (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(pow.f64 (log.f64 base) #s(literal 8 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 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)))))
(* 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 im) (pow (log base) 2))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))) (/ (log im) (pow (log base) 2)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 2)))))) (/ (log im) (pow (log base) 2)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log base) 2)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 2)))))) (/ (log im) (pow (log base) 2)))
(* (pow (log base) 9) (log im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))) (* (pow (log base) 9) (log im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (pow (log base) 9) (pow im 2))))) (* (pow (log base) 9) (log im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 9) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 9) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 9)) (pow im 6))))))) (* (pow (log base) 9) (log im)))
(* (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)))))))
(* -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 (/ 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 (/ 1 re)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))))
(* -1 (* (pow (log base) 9) (log (/ 1 re))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (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 (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 (/ -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 (/ -1 re)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))))
(* -1 (* (pow (log base) 9) (log (/ -1 re))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (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)))
(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)))))
(* 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 re) (pow (log base) 2))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))) (/ (log re) (pow (log base) 2)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 2)))))) (/ (log re) (pow (log base) 2)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 2)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 2)))))) (/ (log re) (pow (log base) 2)))
(* (pow (log base) 9) (log re))
(+ (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))) (* (pow (log base) 9) (log re)))
(+ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (pow (log base) 9) (pow re 2))))) (* (pow (log base) 9) (log re)))
(+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 9) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 9) (pow re 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 9)) (pow re 6))))))) (* (pow (log base) 9) (log 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)))))))
(* -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 (/ 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 (/ 1 im)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))
(* -1 (* (pow (log base) 9) (log (/ 1 im))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (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 (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))))))))
(+ (* -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 (/ -1 im)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))
(* -1 (* (pow (log base) 9) (log (/ -1 im))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (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))
(/ 1 (log base))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(log base)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 2))
(* (pow (log base) 9) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(sqrt (log base))
(pow (log base) 2)
(pow (log base) 10)
(pow (log base) 8)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 2))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 9)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 10)
(pow (log (/ 1 base)) 8)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 9))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	base	@	0	((* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -1)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) -1) (/ (+ (* (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))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2)) (* (log base) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (log base) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (sqrt (log base)) (pow (log base) 2) (pow (log base) 10) (pow (log base) 8))
29.0ms	base	@	inf	((* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -1)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) -1) (/ (+ (* (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))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2)) (* (log base) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (log base) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (sqrt (log base)) (pow (log base) 2) (pow (log base) 10) (pow (log base) 8))
27.0ms	base	@	-inf	((* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -1)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) -1) (/ (+ (* (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))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2)) (* (log base) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (log base) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (sqrt (log base)) (pow (log base) 2) (pow (log base) 10) (pow (log base) 8))
6.0ms	im	@	0	((* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -1)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) -1) (/ (+ (* (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))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2)) (* (log base) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (log base) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (sqrt (log base)) (pow (log base) 2) (pow (log base) 10) (pow (log base) 8))
3.0ms	im	@	inf	((* (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -1)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (pow (log base) -1) (/ (+ (* (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))) (pow (sqrt (log base)) 2) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) 2)) (* (log base) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2))) (log base) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) 2)) (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (/ (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (pow (log base) 10)) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (sqrt (log base)) (pow (log base) 2) (pow (log base) 10) (pow (log base) 8))

simplify193.0ms (2.2%)

Memory

18.9MiB live, 210.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	650	5140
1	1982	5019
2	7675	4807
0	8056	4476

Stop Event

1×	iter limit
1×	node limit

Counts

223 → 221

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)))))
(* 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 im) (pow (log base) 2))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))) (/ (log im) (pow (log base) 2)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 2)))))) (/ (log im) (pow (log base) 2)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (pow (log base) 2)))))) (* 1/2 (/ 1 (* (pow im 2) (pow (log base) 2)))))) (/ (log im) (pow (log base) 2)))
(* (pow (log base) 9) (log im))
(+ (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))) (* (pow (log base) 9) (log im)))
(+ (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (pow (log base) 9) (pow im 2))))) (* (pow (log base) 9) (log im)))
(+ (* (pow re 2) (+ (* 1/2 (/ (pow (log base) 9) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow (log base) 9) (pow im 4))) (* 1/6 (/ (* (pow re 2) (pow (log base) 9)) (pow im 6))))))) (* (pow (log base) 9) (log im)))
(* (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)))))))
(* -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 (/ 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 (/ 1 re)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ 1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))))
(* -1 (* (pow (log base) 9) (log (/ 1 re))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (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 (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 (/ -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 (/ -1 re)) (pow (log base) 2)))
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(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ -1 re)) (pow (log base) 2))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (pow (log base) 2)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (pow (log base) 2)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))))))
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(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 9)) (pow re 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (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)))
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(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)))))
(* 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 re) (pow (log base) 2))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (pow (log base) 2)))) (/ (log re) (pow (log base) 2)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (pow (log base) 2)))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 2)))))) (/ (log re) (pow (log base) 2)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow re 4) (pow (log base) 2)))))) (* 1/2 (/ 1 (* (pow re 2) (pow (log base) 2)))))) (/ (log re) (pow (log base) 2)))
(* (pow (log base) 9) (log re))
(+ (* 1/2 (/ (* (pow im 2) (pow (log base) 9)) (pow re 2))) (* (pow (log base) 9) (log re)))
(+ (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 9)) (pow re 4))) (* 1/2 (/ (pow (log base) 9) (pow re 2))))) (* (pow (log base) 9) (log re)))
(+ (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 9) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 9) (pow re 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 9)) (pow re 6))))))) (* (pow (log base) 9) (log 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)))))))
(* -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 (/ 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 (/ 1 im)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ 1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))
(* -1 (* (pow (log base) 9) (log (/ 1 im))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (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 (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))))))))
(+ (* -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 (/ -1 im)) (pow (log base) 2)))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2))))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))
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(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (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))
(/ 1 (log base))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(log base)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 2))
(* (pow (log base) 9) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(sqrt (log base))
(pow (log base) 2)
(pow (log base) 10)
(pow (log base) 8)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ -1 (log (/ 1 base)))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1 (log (/ 1 base)))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 2))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 9)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 10)
(pow (log (/ 1 base)) 8)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(+ (log -1) (* -1 (log (/ -1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 9))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 8)

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 #s(literal 1/2 binary64) (.f64 im im)) re) re (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 (fma.f64 (/.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 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)
(* 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 (/.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 (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 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)))))))
(fma.f64 (.f64 (.f64 re re) (.f64 re re)) (/.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))
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(fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.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)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+ (* -1 (/ (log (/ -1 im)) (pow (log base) 2))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (pow (log base) 2)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (pow (log base) 2)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (pow (log base) 2)))))))
(+.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)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.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)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(* -1 (* (pow (log base) 9) (log (/ -1 im))))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) im) im) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2)))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) im) im) (fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 9 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 9 binary64)) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -1 (* (pow (log base) 9) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 9)) (pow im 4))) (+ (* 1/720 (/ (* (pow (log base) 9) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 9)) (pow im 2))))))
(fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 #s(literal 1/720 binary64) (pow.f64 (log.f64 base) #s(literal 9 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 9 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 9 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 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)))))))
(/ (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))
(* 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))
(log base)
(log.f64 base)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log base) 2))
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* (pow (log base) 9) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 9 binary64)))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log base) 10)
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(pow (log base) 8)
(pow.f64 (log.f64 base) #s(literal 8 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)))
(* -1/2 (/ (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 (log (/ 1 base)))
(log.f64 base)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 2))
(/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (pow (log (/ 1 base)) 9)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 (log.f64 base)) #s(literal 9 binary64))) (log.f64 (hypot.f64 re im)))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 base))))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow (log (/ 1 base)) 10)
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 10 binary64))
(pow (log (/ 1 base)) 8)
(pow.f64 (neg.f64 (log.f64 base)) #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 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* 1/2 (/ (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))
(+ (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)))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/.f64 (log.f64 (hypot.f64 re im)) (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)))) 9))
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 9 binary64)) (log.f64 (hypot.f64 re im)))
(* (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)))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt.f64 (-.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 (+ (log -1) (* -1 (log (/ -1 base)))) 10)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 10 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))

rewrite165.0ms (1.9%)

Memory

-8.1MiB live, 276.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	222
0	74	191
1	227	162
2	1374	150
0	8741	150

Stop Event

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

Counts

21 → 849

Calls

Call 1

Inputs
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
(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 (.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)))
(pow.f64 (sqrt.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))) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(log.f64 base)
(/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(.f64 (log.f64 base) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)))
(sqrt.f64 (log.f64 base))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(pow.f64 (log.f64 base) #s(literal 10 binary64))
(pow.f64 (log.f64 base) #s(literal 8 binary64))

Outputs
(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(.f64 (.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base))) (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (neg.f64 (log.f64 base))) (/.f64 (log.f64 base) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 1 binary64))
(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 (hypot.f64 re im))))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))
(*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im)))
(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 (hypot.f64 re im)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im)))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (log.f64 base) (neg.f64 (log.f64 (hypot.f64 re im))))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 re im))) (log.f64 base))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))) (neg.f64 (fma.f64 (pow.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 re im))) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im)))))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (neg.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 1 binary64)))) (neg.f64 (log.f64 base)))
(/.f64 (neg.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64))) (neg.f64 (log.f64 base)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (-.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 6 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 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (*.f64 (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 re im))) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 6 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 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 re im))) (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 re im))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(/.f64 (.f64 (log.f64 base) (neg.f64 (neg.f64 (log.f64 (hypot.f64 re im))))) (.f64 (log.f64 base) (neg.f64 (neg.f64 (log.f64 base)))))
(/.f64 (*.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
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(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 18 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) #s(literal 0 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))))))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 18 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) #s(literal 0 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))))))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 18 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 18 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))))))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 18 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 18 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (+.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64) (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64) (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64) (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
(exp.f64 (fma.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 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64))))
(exp.f64 (*.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 4 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(log.f64 (pow.f64 (pow.f64 base (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 6 binary64))))

eval156.0ms (1.8%)

Memory: 23.9MiB live, 261.3MiB allocated
Compiler: Compiled 38 658 to 3 695 computations (90.4% saved)

prune38.0ms (0.4%)

Memory

-11.1MiB live, 101.8MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1 100	15	1 115
Fresh	10	7	17
Picked	3	2	5
Done	0	2	2
Total	1 113	26	1 139

Accuracy

100.0%

Counts

1 139 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	97.4%	(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 5 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))))
	98.4%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base)))
▶	47.1%	(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
	99.2%	(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
▶	99.2%	(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
▶	46.8%	(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	98.4%	(.f64 (log.f64 base) (/.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.4%	(.f64 (log.f64 base) (.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	98.5%	(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -1 binary64)))
	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
	47.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
✓	55.0%	#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)))
	99.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 im))))) #s(literal 1/2 binary64)) (log.f64 base)))
	46.8%	#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)) (pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))))
✓	47.1%	#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)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	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)))
	94.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64) im))) (log.f64 base)))
	46.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.5%	#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)))))
	98.6%	#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 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))) (/.f64 (log.f64 im) (log.f64 base)))
	46.6%	#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)))))
▶	54.4%	#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)))))
▶	54.8%	#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)))))

Compiler

Compiled 1 448 to 981 computations (32.3% saved)

simplify111.0ms (1.3%)

Memory

-23.8MiB live, 110.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(hypot.f64 im re)
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	1	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
cost-diff	2	(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
cost-diff	0	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
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)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
cost-diff	0	(fma.f64 re re (*.f64 im im))
cost-diff	0	(pow.f64 (fma.f64 re re (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))
cost-diff	0	(log.f64 (pow.f64 (fma.f64 re re (*.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))) (log.f64 (pow.f64 (fma.f64 re re (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))))
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	(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)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	278
0	72	258
1	126	254
2	267	228
3	648	228
4	2570	228
0	8477	228

Stop Event

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

Calls

Call 1

Inputs
(*.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)
#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
#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)))))
(log.f64 (pow.f64 (fma.f64 re re (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(pow.f64 (fma.f64 re re (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im
(/.f64 #s(literal 1/2 binary64) (log.f64 base))
#s(literal 1/2 binary64)
(log.f64 base)
base
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
(sqrt.f64 (log.f64 base))
(log.f64 base)
base
#s(literal -2 binary64)
(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(log.f64 (hypot.f64 im re))
(hypot.f64 im re)
im
re
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(neg.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(log.f64 base)
base

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

localize158.0ms (1.8%)

Memory

3.0MiB live, 241.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(log.f64 base)
accuracy	0.03125	(log.f64 (log.f64 base))
accuracy	0.1875	(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
accuracy	0.5740841430530087	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
accuracy	0.0	(log.f64 base)
accuracy	0.0703125	(sqrt.f64 (log.f64 base))
accuracy	0.1875	(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
accuracy	0.288105029305326	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
accuracy	0.0	#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)))))
accuracy	0.16015625	(/.f64 #s(literal 1/2 binary64) (log.f64 base))
accuracy	0.31140713574577483	(log.f64 (pow.f64 (fma.f64 re re (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
accuracy	11.745628079032432	(pow.f64 (fma.f64 re re (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))
accuracy	0.13959483883740786	#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	0.16015625	(/.f64 #s(literal 1/2 binary64) (log.f64 base))
accuracy	0.18359375	(.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))
accuracy	11.668533754148548	(log.f64 (*.f64 im im))
accuracy	0.0	(log.f64 base)
accuracy	0.174160009768442	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.1875	(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
accuracy	0.23894501953688402	(pow.f64 (log.f64 base) #s(literal 2 binary64))

Samples

80.0ms	122×	0	valid
51.0ms	134×	0	invalid

Compiler

Compiled 287 to 44 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-log: 21.0ms (24.9% of total)

ival-pow: 17.0ms (20.2% of total)

ival-mult: 15.0ms (17.8% of total)

ival-hypot: 9.0ms (10.7% of total)

ival-div: 8.0ms (9.5% of total)

ival-add: 5.0ms (5.9% of total)

ival-pow2: 3.0ms (3.6% of total)

ival-exp: 2.0ms (2.4% of total)

ival-atan2: 2.0ms (2.4% of total)

ival-sqrt: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

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

series357.0ms (4.1%)

Memory

25.7MiB live, 572.7MiB allocated

Counts

21 → 185

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
124.0ms	base	@	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)) (+ (* (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)) (+ (* (log base) (log base)) (* 0 0))) (log (pow (+ (* re re) (* im im)) (/ 1/2 (log base)))) (pow (+ (* re re) (* im im)) (/ 1/2 (log base))) (+ (* re re) (* im im)) (* (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) -2)) (pow (sqrt (log base)) -2) (* (log (sqrt (+ (* im im) (* re re)))) (exp (neg (log (log base))))) (exp (neg (log (log base)))) (pow (log base) 2) (log base) (/ 1/2 (log base)) (sqrt (log base)) (log (log base)))
91.0ms	base	@	-inf	((/ (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)) (+ (* (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)) (+ (* (log base) (log base)) (* 0 0))) (log (pow (+ (* re re) (* im im)) (/ 1/2 (log base)))) (pow (+ (* re re) (* im im)) (/ 1/2 (log base))) (+ (* re re) (* im im)) (* (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) -2)) (pow (sqrt (log base)) -2) (* (log (sqrt (+ (* im im) (* re re)))) (exp (neg (log (log base))))) (exp (neg (log (log base)))) (pow (log base) 2) (log base) (/ 1/2 (log base)) (sqrt (log base)) (log (log base)))
70.0ms	base	@	inf	((/ (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)) (+ (* (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)) (+ (* (log base) (log base)) (* 0 0))) (log (pow (+ (* re re) (* im im)) (/ 1/2 (log base)))) (pow (+ (* re re) (* im im)) (/ 1/2 (log base))) (+ (* re re) (* im im)) (* (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) -2)) (pow (sqrt (log base)) -2) (* (log (sqrt (+ (* im im) (* re re)))) (exp (neg (log (log base))))) (exp (neg (log (log base)))) (pow (log base) 2) (log base) (/ 1/2 (log base)) (sqrt (log base)) (log (log base)))
20.0ms	im	@	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)) (+ (* (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)) (+ (* (log base) (log base)) (* 0 0))) (log (pow (+ (* re re) (* im im)) (/ 1/2 (log base)))) (pow (+ (* re re) (* im im)) (/ 1/2 (log base))) (+ (* re re) (* im im)) (* (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) -2)) (pow (sqrt (log base)) -2) (* (log (sqrt (+ (* im im) (* re re)))) (exp (neg (log (log base))))) (exp (neg (log (log base)))) (pow (log base) 2) (log base) (/ 1/2 (log base)) (sqrt (log base)) (log (log base)))
19.0ms	im	@	inf	((/ (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)) (+ (* (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)) (+ (* (log base) (log base)) (* 0 0))) (log (pow (+ (* re re) (* im im)) (/ 1/2 (log base)))) (pow (+ (* re re) (* im im)) (/ 1/2 (log base))) (+ (* re re) (* im im)) (* (log (sqrt (+ (* im im) (* re re)))) (pow (sqrt (log base)) -2)) (pow (sqrt (log base)) -2) (* (log (sqrt (+ (* im im) (* re re)))) (exp (neg (log (log base))))) (exp (neg (log (log base)))) (pow (log base) 2) (log base) (/ 1/2 (log base)) (sqrt (log base)) (log (log base)))

simplify259.0ms (2.9%)

Memory

18.0MiB live, 295.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	670	5612
1	2211	5370
0	8348	5067

Stop Event

1×	iter limit
1×	node limit

Counts

185 → 183

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)))))
(* 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)) (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)))))))
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re
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(+ (* -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)) (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))) (+ (* 1/48 (/ (pow re 6) (pow (log base) 3))) (* 1/6 (/ (pow re 6) (log base)))))))) (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))) (+ (* 1/48 (/ (pow re 6) (pow (log base) 3))) (* 1/6 (/ (pow re 6) (log base)))))) (pow im 6)))))
(* -1 (* (exp (neg (log (log base)))) (log (/ -1 im))))
(+ (* -1 (* (exp (neg (log (log base)))) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (exp (neg (log (log base))))) (pow im 2))))
(+ (* -1 (* (exp (neg (log (log base)))) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (exp (neg (log (log base))))) (pow im 4))) (* 1/2 (/ (* (pow re 2) (exp (neg (log (log base))))) (pow im 2)))))
(+ (* -1 (* (exp (neg (log (log base)))) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (exp (neg (log (log base))))) (pow im 4))) (+ (* 1/720 (/ (* (exp (neg (log (log base)))) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (exp (neg (log (log base))))) (pow im 2))))))
(/ 1 (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(exp (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base))))
(* (exp (neg (log (log base)))) (log (sqrt (+ (pow im 2) (pow re 2)))))
(exp (neg (log (log base))))
(pow (log base) 2)
(log base)
(/ 1/2 (log base))
(sqrt (log base))
(log (log base))
(/ -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))))
(exp (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))))
(* (exp (neg (log (* -1 (log (/ 1 base)))))) (log (sqrt (+ (pow im 2) (pow re 2)))))
(exp (neg (log (* -1 (log (/ 1 base))))))
(pow (log (/ 1 base)) 2)
(* -1 (log (/ 1 base)))
(/ -1/2 (log (/ 1 base)))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(log (* -1 (log (/ 1 base))))
(/ 1 (+ (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))))))
(exp (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))))
(* (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base))))))) (log (sqrt (+ (pow im 2) (pow re 2)))))
(exp (neg (log (+ (log -1) (* -1 (log (/ -1 base)))))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(+ (log -1) (* -1 (log (/ -1 base))))
(/ 1/2 (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(log (+ (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) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 re re) (log.f64 base)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) 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 (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base))) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) 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 #s(literal 1/2 binary64) im) (/.f64 (*.f64 re 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 (.f64 re 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 (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (.f64 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 (*.f64 re re) im) #s(literal 1/2 binary64) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (fma.f64 (/.f64 (.f64 re 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 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 re re)) (pow.f64 im #s(literal 5 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)
(* 1/2 (/ (log (pow im 2)) (log base)))
(.f64 (/.f64 (log.f64 (.f64 im im)) (log.f64 base)) #s(literal 1/2 binary64))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 (.f64 im im)) (*.f64 (/.f64 re im) (/.f64 re im))) (log.f64 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)))))))
(fma.f64 (/.f64 (log.f64 (.f64 im im)) (log.f64 base)) #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (.f64 re re) (log.f64 base)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) im) im))) (.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 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base))) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) im) im))) (.f64 re re) (.f64 (/.f64 (log.f64 (.f64 im im)) (log.f64 base)) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* 1/24 (* (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)))))))
(fma.f64 (fma.f64 (.f64 (.f64 re re) #s(literal 1/24 binary64)) (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) #s(literal 24 binary64)) (/.f64 #s(literal 3 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) im) im))) (.f64 re re) (.f64 (/.f64 (log.f64 (*.f64 im im)) (log.f64 base)) #s(literal 1/2 binary64)))
(+ (* 1/2 (/ (log (pow im 2)) (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)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/720 binary64) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 (.f64 (log.f64 base) im) im)) #s(literal -360 binary64) (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base))) (/.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64))))) #s(literal 720 binary64) (/.f64 #s(literal 30 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))))) (.f64 re re) (.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) #s(literal 24 binary64)) (/.f64 #s(literal 3 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))) #s(literal 1/24 binary64))) (.f64 re re) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) im) im))) (.f64 re re) (.f64 (/.f64 (log.f64 (*.f64 im im)) (log.f64 base)) #s(literal 1/2 binary64)))
(exp (* 1/2 (/ (log (pow im 2)) (log base))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 im im)) (log.f64 base)))
(+ (exp (* 1/2 (/ (log (pow im 2)) (log base)))) (* 1/2 (/ (* (pow re 2) (exp (* 1/2 (/ (log (pow im 2)) (log base))))) (* (pow im 2) (log base)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (.f64 im im)) (log.f64 base))) (.f64 re re)) (.f64 im im)) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 im im)) (log.f64 base))))
(+ (exp (* 1/2 (/ (log (pow im 2)) (log base)))) (* (pow re 2) (+ (* 1/2 (/ (exp (* 1/2 (/ (log (pow im 2)) (log base)))) (* (pow im 2) (log base)))) (* (pow re 2) (* (exp (* 1/2 (/ (log (pow im 2)) (log base)))) (- (* 1/8 (/ 1 (* (pow im 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (log base))))))))))
(fma.f64 (fma.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (.f64 im im)) (log.f64 base))) (.f64 re re)) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))) (.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (.f64 im im)) (log.f64 base))) (.f64 im im)))) (.f64 re re) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (.f64 im im)) (log.f64 base))))
(+ (exp (* 1/2 (/ (log (pow im 2)) (log base)))) (* (pow re 2) (+ (* 1/2 (/ (exp (* 1/2 (/ (log (pow im 2)) (log base)))) (* (pow im 2) (log base)))) (* (pow re 2) (+ (* (exp (* 1/2 (/ (log (pow im 2)) (log base)))) (- (* 1/8 (/ 1 (* (pow im 4) (pow (log base) 2)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* (pow re 2) (* (exp (* 1/2 (/ (log (pow im 2)) (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))))))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (.f64 im im)) (log.f64 base))) (.f64 im im)) (.f64 (fma.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (.f64 im im)) (log.f64 base))) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) (log.f64 base))) (/.f64 #s(literal 1/48 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))))) (.f64 re re) (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (.f64 im im)) (log.f64 base))) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)))))) (.f64 re re))) (.f64 re re) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (.f64 im im)) (log.f64 base))))
(pow im 2)
(*.f64 im im)
(+ (pow im 2) (pow re 2))
(fma.f64 re re (*.f64 im im))
(* (exp (neg (log (log base)))) (log im))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
(+ (* 1/2 (/ (* (pow re 2) (exp (neg (log (log base))))) (pow im 2))) (* (exp (neg (log (log base)))) (log im)))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 im im)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
(+ (* (exp (neg (log (log base)))) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (exp (neg (log (log base))))) (pow im 4))) (* 1/2 (/ (exp (neg (log (log base)))) (pow im 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 re re) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) im))) (.f64 re re) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
(+ (* (exp (neg (log (log base)))) (log im)) (* (pow re 2) (+ (* 1/2 (/ (exp (neg (log (log base)))) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (exp (neg (log (log base)))) (pow im 4))) (* 1/6 (/ (* (pow re 2) (exp (neg (log (log base))))) (pow im 6))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 re re)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 im #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (pow.f64 im #s(literal 4 binary64)))) (.f64 re re) (.f64 (/.f64 #s(literal 1/2 binary64) im) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) im))) (.f64 re re) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
(* -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 -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (pow.f64 im #s(literal 4 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 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) (pow.f64 re #s(literal 4 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 (.f64 #s(literal 1/720 binary64) (.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 120 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 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im 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 #s(literal 1/2 binary64) re) (/.f64 (*.f64 im 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))))))
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re
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(+ (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))) (+ (* 1/48 (/ (pow re 6) (pow (log base) 3))) (* 1/6 (/ (pow re 6) (log base)))))) (pow im 6)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 re re)) (/.f64 (exp.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))) (.f64 (.f64 (log.f64 base) im) im)) (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 (pow.f64 re #s(literal 6 binary64)) (log.f64 base)) #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 re #s(literal 6 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 #s(literal 1/8 binary64) (pow.f64 re #s(literal 4 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 (* (exp (neg (log (log base)))) (log (/ -1 im))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (* (exp (neg (log (log base)))) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (exp (neg (log (log base))))) (pow im 2))))
(fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 im im)) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (exp (neg (log (log base)))) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (exp (neg (log (log base))))) (pow im 4))) (* 1/2 (/ (* (pow re 2) (exp (neg (log (log base))))) (pow im 2)))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 im im)) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))))
(+ (* -1 (* (exp (neg (log (log base)))) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (exp (neg (log (log base))))) (pow im 4))) (+ (* 1/720 (/ (* (exp (neg (log (log base)))) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (exp (neg (log (log base))))) (pow im 2))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (fma.f64 (.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 (.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 120 binary64)) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 im im)) (.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 im #s(literal 4 binary64)))))))
(/ 1 (log base))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.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 (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (log.f64 base)))
(* (exp (neg (log (log base)))) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(exp (neg (log (log base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log base)
(log.f64 base)
(/ 1/2 (log base))
(/.f64 #s(literal 1/2 binary64) (log.f64 base))
(sqrt (log base))
(sqrt.f64 (log.f64 base))
(log (log base))
(log.f64 (log.f64 base))
(/ -1 (log (/ 1 base)))
(neg.f64 (/.f64 #s(literal -1 binary64) (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))
(exp (* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (/.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (neg.f64 (log.f64 base))))
(* (exp (neg (log (* -1 (log (/ 1 base)))))) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(exp (neg (log (* -1 (log (/ 1 base))))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (log (/ 1 base)))
(log.f64 base)
(/ -1/2 (log (/ 1 base)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 base)))
(* (sqrt (log (/ 1 base))) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (log.f64 base))))
(log (* -1 (log (/ 1 base))))
(log.f64 (log.f64 base))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(/ (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))))
(* 1/2 (/ (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))
(exp (* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.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)))))
(* (exp (neg (log (+ (log -1) (* -1 (log (/ -1 base))))))) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))) (log.f64 (hypot.f64 re im)))
(exp (neg (log (+ (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 (+ (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 -1) (* -1 (log (/ -1 base))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base)))
(/ 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))))
(sqrt (+ (log -1) (* -1 (log (/ -1 base)))))
(sqrt.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(log (+ (log -1) (* -1 (log (/ -1 base)))))
(log.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))

rewrite200.0ms (2.3%)

Memory

-21.6MiB live, 256.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	224
0	72	208
1	222	181
2	1367	145
0	9197	145

Stop Event

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

Counts

21 → 1 546

Calls

Call 1

Inputs
(/.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)
#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))
#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)))))
(log.f64 (pow.f64 (fma.f64 re re (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(pow.f64 (fma.f64 re re (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))
(fma.f64 re re (*.f64 im im))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 base)
(/.f64 #s(literal 1/2 binary64) (log.f64 base))
(sqrt.f64 (log.f64 base))
(log.f64 (log.f64 base))

Outputs
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (neg.f64 (log.f64 base)))) (/.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (neg.f64 (log.f64 base)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (neg.f64 (log.f64 base)))) (/.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (neg.f64 (log.f64 base)))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (log.f64 base))) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (neg.f64 (log.f64 base))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)) (/.f64 (sqrt.f64 (log.f64 base)) (log.f64 base)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal -2 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 -5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) (neg.f64 (pow.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)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 (log.f64 base))))
(pow.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (log.f64 base) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (cosh.f64 (log.f64 (log.f64 base)))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log.f64 base))) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log.f64 base))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (log.f64 base) (neg.f64 (log.f64 base)))) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (+.f64 (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))))))))
(/.f64 (*.f64 (log.f64 base) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (*.f64 (log.f64 base) (-.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (.f64 (log.f64 base) (-.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 6 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 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))))
(/.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (.f64 (log.f64 base) (+.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) #s(literal 0 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 6 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 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 binary64)))
(/.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(/.f64 (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log.f64 base)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log.f64 base)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log.f64 base)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log.f64 base)))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log.f64 base)))) (.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log.f64 base))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (+.f64 (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 (log.f64 base)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (neg.f64 (log.f64 (log.f64 base))))))))
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(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (neg.f64 (log.f64 base))) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (neg.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (log.f64 base)) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (log.f64 base)) (log.f64 base) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (log.f64 base)) (log.f64 base) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (neg.f64 (log.f64 base)))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (neg.f64 (log.f64 base)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 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 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (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 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (log.f64 base))) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (neg.f64 (log.f64 base))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (neg.f64 (log.f64 base)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (log.f64 base) (neg.f64 (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fabs.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(exp.f64 (-.f64 (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64) (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
(exp.f64 (-.f64 (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 base (/.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 (pow.f64 base (/.f64 (log.f64 base) #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(log.f64 (pow.f64 (pow.f64 base #s(literal -1 binary64)) (neg.f64 (neg.f64 (log.f64 base)))))
(log.f64 (pow.f64 (pow.f64 base #s(literal -1 binary64)) (log.f64 base)))
(log.f64 (pow.f64 base (log.f64 base)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 base))) (neg.f64 (sqrt.f64 (log.f64 base))))
(*.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 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (log.f64 base)) (sqrt.f64 (log.f64 base)))
(pow.f64 (neg.f64 (log.f64 base)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (log.f64 base) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (log.f64 base))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (log.f64 base))) (sinh.f64 (log.f64 (log.f64 base)))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log.f64 base))) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log.f64 base))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (log.f64 base)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (log.f64 base)))))) #s(literal 4 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (log.f64 base))
(/.f64 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 6 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 (sqrt.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 2 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 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (log.f64 base)))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 base)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (log.f64 base))))
(/.f64 #s(literal 1/2 binary64) (log.f64 base))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 base)))
(*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (log.f64 base))) (sqrt.f64 (sqrt.f64 (log.f64 base))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) (pow.f64 (log.f64 base) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (log.f64 base)))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (log.f64 base) #s(literal 1/2 binary64))
(sqrt.f64 (log.f64 base))
(fabs.f64 (sqrt.f64 (log.f64 base)))
(exp.f64 (/.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 base))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (log.f64 base)))) (sinh.f64 (log.f64 (sqrt.f64 (log.f64 base)))))
(*.f64 #s(literal 1 binary64) (log.f64 (log.f64 base)))
(*.f64 (log.f64 (log.f64 base)) #s(literal 1 binary64))
(fma.f64 (log.f64 (log.f64 base)) #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (log.f64 base))))
(fma.f64 #s(literal 1/2 binary64) (log.f64 (log.f64 base)) (log.f64 (sqrt.f64 (log.f64 base))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 base))) (log.f64 (sqrt.f64 (log.f64 base))))
(log.f64 (log.f64 base))

eval179.0ms (2%)

Memory: 19.9MiB live, 404.5MiB allocated
Compiler: Compiled 48 001 to 4 401 computations (90.8% saved)

prune251.0ms (2.8%)

Memory

-24.9MiB live, 146.4MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	1 410	11	1 421
Fresh	5	12	17
Picked	5	0	5
Done	0	4	4
Total	1 420	27	1 447

Accuracy

100.0%

Counts

1 447 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
	97.4%	(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 5 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))))
	98.4%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base)))
	46.8%	(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))
	99.1%	(.f64 (log.f64 (hypot.f64 im re)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.4%	(.f64 (log.f64 base) (/.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.4%	(.f64 (log.f64 base) (.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	46.9%	(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -2 binary64)))
	98.4%	(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	46.6%	(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	98.9%	(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
✓	55.0%	#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)))
	99.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 im))))) #s(literal 1/2 binary64)) (log.f64 base)))
✓	47.1%	#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)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	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)))
	94.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64) im))) (log.f64 base)))
	46.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.5%	#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) (log.f64 base)))
	46.6%	#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)))))
	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))
	54.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (pow.f64 #s(approx (+ (* re re) (* im im)) (*.f64 im im)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))))
	54.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 re re (*.f64 im im)) (/.f64 #s(literal -1/2 binary64) (log.f64 base))))))
	54.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (log.f64 #s(approx (pow (+ (* re re) (* im im)) (/ 1/2 (log base))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 im im)) (log.f64 base))))))
	46.8%	#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 (.f64 (log.f64 im) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (log.f64 base))))))
	98.6%	#s(approx (* (log (sqrt (+ (* im im) (* re re)))) (exp (neg (log (log base))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))

Compiler

Compiled 2 745 to 868 computations (68.4% saved)

regimes104.0ms (1.2%)

Memory

25.4MiB live, 103.3MiB allocated

Counts

68 → 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 (+ (* im im) (* re re)))) (exp (neg (log (log base))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
#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))) (/.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 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64) 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)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 #s(approx (log (+ ( im im) (* re re))) (fma.f64 (/.f64 re im) (/.f64 re im) (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 im))))) #s(literal 1/2 binary64)) (log.f64 base)))
(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 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 (log.f64 (hypot.f64 im re)) (log.f64 base)))
(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (pow.f64 (sqrt.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))) (log.f64 (pow.f64 #s(approx (+ (* re re) (* im im)) (*.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) (pow.f64 (sqrt.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))) (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))) (log.f64 (/.f64 #s(literal 1 binary64) (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))) #s(approx (/ (* (log (+ (* im im) (* re re))) 1/2) (log base)) (.f64 (/.f64 (.f64 (log.f64 im) #s(literal 2 binary64)) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (log.f64 base))))))
(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(*.f64 (log.f64 (hypot.f64 im re)) (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 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
(.f64 (log.f64 base) (.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im)) (log.f64 base)))
(.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (log.f64 base) (/.f64 #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.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))) (/.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 (log.f64 (hypot.f64 im re)) (pow.f64 (sqrt.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 (.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 (/.f64 (log.f64 (hypot.f64 re im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
(log.f64 (pow.f64 (hypot.f64 re im) (pow.f64 (log.f64 base) #s(literal -1 binary64))))
(*.f64 (log.f64 (hypot.f64 im re)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(.f64 (log.f64 base) (.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (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))) (log.f64 #s(approx (pow (+ (* re re) (* im im)) (/ 1/2 (log base))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (log.f64 (*.f64 im im)) (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 #s(approx (* (* (log base) (log (sqrt (+ (* im im) (* re re))))) (pow (log base) 8)) (*.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 10 binary64)))
(/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 10 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 (log.f64 base) #s(literal 3 binary64)) (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))) (*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)))))))
(/.f64 (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base)) (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 (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 (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(.f64 (log.f64 (hypot.f64 im re)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (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))) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 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 (log.f64 (hypot.f64 im re)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 10 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))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 1/2 binary64))) (log.f64 base)))
(.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 4 binary64)))
(/.f64 (.f64 (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 5 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 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 12 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 (log.f64 base) (/.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 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 10 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 (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 (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)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (/.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 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3/2 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3/2 binary64)) (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:

34.0ms	im
19.0ms	(/.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))))
16.0ms	re
16.0ms	(log.f64 base)
16.0ms	base

Results

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

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes18.0ms (0.2%)

Memory

2.7MiB live, 40.0MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

7.0ms	base
3.0ms	re
3.0ms	im
3.0ms	(log.f64 base)
3.0ms	(/.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	`re`
99.1%	1	`im`
99.1%	1	`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	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes24.0ms (0.3%)

Memory

-15.3MiB live, 23.1MiB allocated

Accuracy

Total -28.1b remaining (-3320.9%)

Threshold costs -28.1b (-3320.9%)

Counts

6 → 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 (+ (* im im) (* re re)))) (exp (neg (log (log base))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
#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))) (/.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 (log.f64 #s(approx (sqrt (+ (* im im) (* re re))) (fma.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64) 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)))

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:

14.0ms	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))))
2.0ms	(log.f64 base)
2.0ms	base

Results

Accuracy	Segments	Branch
98.7%	1	`re`
98.7%	1	`im`
98.7%	1	`base`
98.7%	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))))`
98.7%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify57.0ms (0.6%)

Memory

12.5MiB live, 48.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	101
1	76	95
2	193	83
3	441	77
4	860	77
5	1819	77
6	3867	77
7	4941	77
8	6689	77

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

soundness464.0ms (5.3%)

Memory

-18.9MiB live, 393.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	1777
1	930	1774
2	3622	1662
0	8312	1538
0	650	5140
1	1982	5019
2	7675	4807
0	8056	4476
0	55	273
0	87	203
1	268	183
2	1557	165
0	8774	165

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

Compiler

Compiled 180 to 84 computations (53.3% saved)

preprocess50.0ms (0.6%)

Memory

0.4MiB live, 38.9MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 738 to 388 computations (47.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze291.0ms (3.3%)

sample1.6s (18.6%)

explain346.0ms (3.9%)

preprocess258.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify229.0ms (2.6%)

localize64.0ms (0.7%)

series133.0ms (1.5%)

simplify446.0ms (5.1%)

rewrite108.0ms (1.2%)

eval63.0ms (0.7%)

prune26.0ms (0.3%)

simplify188.0ms (2.1%)

localize292.0ms (3.3%)

series327.0ms (3.7%)

simplify202.0ms (2.3%)

rewrite339.0ms (3.8%)

eval637.0ms (7.2%)

prune66.0ms (0.8%)

simplify63.0ms (0.7%)

localize177.0ms (2%)

series131.0ms (1.5%)

simplify193.0ms (2.2%)

rewrite165.0ms (1.9%)

eval156.0ms (1.8%)

prune38.0ms (0.4%)

simplify111.0ms (1.3%)

localize158.0ms (1.8%)

series357.0ms (4.1%)

simplify259.0ms (2.9%)

rewrite200.0ms (2.3%)

eval179.0ms (2%)

prune251.0ms (2.8%)

regimes104.0ms (1.2%)

regimes18.0ms (0.2%)

regimes24.0ms (0.3%)

simplify57.0ms (0.6%)

soundness464.0ms (5.3%)

preprocess50.0ms (0.6%)

end0.0ms (0%)

Profiling