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

analyze165.0ms (1%)

Memory

-9.8MiB live, 401.0MiB 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)

sample1.5s (8.7%)

Memory

45.3MiB live, 2 306.3MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 788.0ms

ival-log: 224.0ms (28.4% of total)

ival-hypot: 184.0ms (23.4% of total)

ival-mult: 146.0ms (18.5% of total)

ival-add: 102.0ms (13% of total)

ival-atan2: 60.0ms (7.6% of total)

ival-div: 57.0ms (7.2% of total)

ival-true: 7.0ms (0.9% of total)

exact: 5.0ms (0.6% of total)

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

Bogosity

preprocess425.0ms (2.5%)

Memory

3.5MiB live, 383.6MiB allocated

Algorithm

1×	egg-herbie

Rules

6 840×	`lower-*.f32`
6 832×	`lower-*.f64`
3 028×	`cube-prod`
2 360×	`lower-/.f32`
2 358×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	189
1	144	171
2	238	171
3	461	125
4	851	113
5	1592	113
6	4817	113
7	7486	113
0	18	26
0	34	20
1	43	18
2	48	18
3	58	14
4	67	12
5	68	12
6	121	12
7	325	12
8	1198	12
9	1934	12
10	2395	12
11	2701	12
12	3169	12
13	3904	12
14	4909	12
15	6035	12
16	6376	12
17	6583	12
18	6778	12
19	6985	12
0	8478	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 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))

Symmetry

(abs im)

(abs re)

(sort re im)

explain523.0ms (3.1%)

Memory

-5.9MiB live, 440.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
121	-	1	(3.194339311885724e-271 8.05243639740913e-156 5.961352034627771e-5)	`(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	12
↳	`(*.f64 im im)`	overflow	101
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	19	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	19
↳	`(*.f64 re re)`	underflow	113
↳	`(*.f64 im im)`	underflow	19

Confusion

	Predicted +	Predicted -
+	120	0
-	0	136

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	120	0	0
-	0	0	136

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	136
1	120

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

131.0ms

512×

valid

Compiler

Compiled 304 to 76 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-atan2: 24.0ms (34.2% of total)

ival-mult: 14.0ms (20% of total)

ival-log: 13.0ms (18.5% of total)

ival-hypot: 9.0ms (12.8% of total)

ival-add: 7.0ms (10% of total)

ival-div: 3.0ms (4.3% of total)

ival-true: 1.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

54.2%

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

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify352.0ms (2.1%)

Memory

23.7MiB live, 296.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.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	320	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
✓	cost-diff	6784	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
✓	cost-diff	13440	(/.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))))

Rules

6 840×	`lower-*.f32`
6 832×	`lower-*.f64`
3 028×	`cube-prod`
2 360×	`lower-/.f32`
2 358×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	99
1	43	93
2	48	93
3	58	89
4	67	87
5	68	87
6	121	87
7	325	87
8	1198	87
9	1934	87
10	2395	87
11	2701	87
12	3169	87
13	3904	87
14	4909	87
15	6035	87
16	6376	87
17	6583	87
18	6778	87
19	6985	87
0	8478	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 (sqrt.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (sqrt.f64 (fma.f64 re re (*.f64 im im))))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(sqrt.f64 (fma.f64 re re (*.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(fma.f64 re re (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
#s(literal 0 binary64)
(atan2.f64 im re)
#s(literal 0 binary64)
(+.f64 (.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)

localize152.0ms (0.9%)

Memory

13.6MiB live, 88.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	accuracy	99.5%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.2%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	56.3%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

131.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-log: 69.0ms (57.5% of total)

ival-add: 36.0ms (30% of total)

ival-mult: 7.0ms (5.8% of total)

ival-hypot: 4.0ms (3.3% of total)

ival-atan2: 2.0ms (1.7% of total)

ival-div: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series285.0ms (1.7%)

Memory

-38.3MiB live, 152.4MiB allocated

Counts

7 → 168

Calls

Call 1

Inputs
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (.f64 (atan2.f64 im re) #s(literal 0 binary64)) (patch (.f64 (atan2.f64 im re) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (patch (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) (patch (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())

Outputs
#s(alt (/ (log im) (log base)) (taylor 0 re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 re)) (log base))) (taylor inf re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (taylor inf re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) (taylor inf re) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -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)))))) (taylor inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log base) (log (/ -1 im)))) (taylor -inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) (taylor -inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor -inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor -inf im) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (patch (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())) ())

Calls

42 calls:

Time	Variable		Point	Expression
180.0ms	base	@	0	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
46.0ms	re	@	inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
35.0ms	base	@	-inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
7.0ms	base	@	inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
2.0ms	re	@	0	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

rewrite600.0ms (3.5%)

Memory

-0.2MiB live, 602.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 018×	`lower-fma.f64`
5 018×	`lower-fma.f32`
3 884×	`lower-*.f32`
3 876×	`lower-*.f64`
2 884×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	61
1	99	55
2	688	55
3	6199	55
0	8222	35

Stop Event

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

Counts

7 → 1 492

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

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

simplify404.0ms (2.4%)

Memory

-2.5MiB live, 630.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 210×	`lower-fma.f64`
12 210×	`lower-fma.f32`
4 836×	`lower-*.f64`
4 836×	`lower-*.f32`
3 926×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	2912
1	840	2860
2	2644	2828
3	6337	2818
0	8102	2516

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

Calls

Call 1

Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))

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

eval435.0ms (2.5%)

Memory: 17.5MiB live, 434.8MiB allocated
Compiler: Compiled 69 768 to 3 239 computations (95.4% saved)

prune559.0ms (3.3%)

Memory

9.7MiB live, 580.2MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1 639	17	1 656
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 640	17	1 657

Accuracy

99.8%

Counts

1 657 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
	54.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
▶	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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))))
	54.1%	(/.f64 (.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
▶	54.2%	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.8%	(/.f64 (.f64 (log.f64 im) (log.f64 base)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	54.3%	(/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base))
▶	98.9%	(/.f64 (log.f64 im) (log.f64 base))
	54.1%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
	52.6%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
▶	54.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
	54.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	54.2%	(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	54.1%	(.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	54.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) (log.f64 base))
	54.1%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))))
	54.1%	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))

Compiler

Compiled 726 to 462 computations (36.4% saved)

simplify390.0ms (2.3%)

Memory

-41.8MiB live, 250.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (fma.f64 re re (*.f64 im im)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
✓	cost-diff	13568	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
✓	cost-diff	0	(.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	12800	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.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	320	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
✓	cost-diff	5120	(hypot.f64 re im)
✓	cost-diff	6784	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
✓	cost-diff	13440	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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))))

Rules

4 272×	`lower-*.f32`
4 256×	`lower-*.f64`
2 022×	`lower-fma.f32`
2 020×	`lower-fma.f64`
1 714×	`cube-prod`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	297
0	66	281
1	94	273
2	166	267
3	389	263
4	676	257
5	1108	257
6	2456	257
7	3162	257
8	3198	257
9	3238	257
10	3319	257
11	3451	257
12	4997	257
13	6361	257
14	6915	257
15	7394	257
16	7949	257
0	8003	257

Stop Event

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

Calls

Call 1

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

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

localize288.0ms (1.7%)

Memory

26.3MiB live, 181.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
✓	accuracy	98.9%	(pow.f64 (log.f64 base) #s(literal 3 binary64))
✓	accuracy	98.5%	(pow.f64 (log.f64 base) #s(literal 4 binary64))
✓	accuracy	54.6%	(log.f64 (fma.f64 re re (*.f64 im im)))
✓	accuracy	99.5%	(.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
✓	accuracy	99.4%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
✓	accuracy	99.2%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	54.6%	(log.f64 (fma.f64 re re (*.f64 im im)))
✓	accuracy	99.5%	(.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
✓	accuracy	99.5%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
✓	accuracy	99.2%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	54.6%	(log.f64 (fma.f64 re re (*.f64 im im)))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.4%	(/.f64 (log.f64 im) (log.f64 base))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	accuracy	99.5%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.2%	(*.f64 (log.f64 base) (log.f64 base))

Samples

154.0ms

256×

valid

Compiler

Compiled 344 to 39 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-div: 48.0ms (36.8% of total)

ival-log: 47.0ms (36% of total)

ival-mult: 14.0ms (10.7% of total)

ival-pow: 10.0ms (7.7% of total)

ival-hypot: 5.0ms (3.8% of total)

ival-add: 4.0ms (3.1% of total)

ival-atan2: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series242.0ms (1.4%)

Memory

-8.5MiB live, 184.8MiB allocated

Counts

20 → 480

Calls

Call 1

Inputs
#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())
#s(alt (.f64 (atan2.f64 im re) #s(literal 0 binary64)) (patch (.f64 (atan2.f64 im re) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (patch (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 im) (log.f64 base)) (patch (/.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im))))) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im))))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) (patch (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im))))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (patch (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (patch (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (patch (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #<representation binary64>) () ())
#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (log im) (log base)) (taylor 0 re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 re)) (log base))) (taylor inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (taylor inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) (taylor inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) (taylor inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 re)) (log base))) (taylor -inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (taylor -inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) (taylor -inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) (taylor -inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (/ (log re) (log base)) (taylor 0 im) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base))) (taylor 0 im) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) (taylor 0 im) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base))) (taylor 0 im) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 im)) (log base))) (taylor inf im) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))) (taylor inf im) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))) (taylor inf im) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))) (taylor inf im) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 im)) (log base))) (taylor -inf im) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re 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)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* (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)))))))) (taylor 0 re) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log base) (log (/ 1 re)))) (taylor inf re) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) (taylor inf re) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf re) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) (taylor inf re) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log base) (log (/ -1 re)))) (taylor -inf re) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))) (taylor -inf re) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor -inf re) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))) (taylor -inf re) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log re)) (taylor 0 im) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re))) (taylor 0 im) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2)))))) (taylor 0 im) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* (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)))))))) (taylor 0 im) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log base) (log (/ 1 im)))) (taylor inf im) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) (taylor inf im) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf im) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor inf im) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log base) (log (/ -1 im)))) (taylor -inf im) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) (taylor -inf im) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor -inf im) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (+ (* -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)))))) (taylor -inf im) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 4) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 4) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 4) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 4) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 4) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 4) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 4) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 4) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 4) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 4 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 3) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 3) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 3) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 3) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 base)) 3)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 base)) 3)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 base)) 3)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 base)) 3)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 3 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 3 binary64)) #<representation binary64>) () ())) ())

Calls

120 calls:

Time	Variable		Point	Expression
60.0ms	im	@	0	(/ (log im) (log base))
42.0ms	base	@	0	(* (* (log base) 1/2) (log (+ (* re re) (* im im))))
22.0ms	base	@	-inf	(/ (log im) (log base))
16.0ms	base	@	0	(* (pow (log base) -2) (* (* (log base) 1/2) (log (+ (* re re) (* im im)))))
14.0ms	im	@	-inf	(/ (log im) (log base))

rewrite743.0ms (4.3%)

Memory

31.8MiB live, 970.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 650×	`lower-fma.f32`
6 648×	`lower-fma.f64`
5 414×	`lower-*.f32`
5 398×	`lower-*.f64`
3 994×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	174
0	66	154
1	193	109
2	1155	101
0	8793	101

Stop Event

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

Counts

20 → 6 330

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(+.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 0 binary64))
(+.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (.f64 (.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
(+.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)) (.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
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(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 (log.f64 base) #s(literal 12 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) #s(literal 0 binary64))
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 7 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (-.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 3 binary64))))))
(/.f64 (*.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (log.f64 base) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (log.f64 base)) (log.f64 base))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(pow.f64 (log.f64 base) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 base)))
(*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base))
(*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3/4 binary64)) (pow.f64 (log.f64 base) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3/2 binary64)) (pow.f64 (log.f64 base) #s(literal 3/4 binary64))) (pow.f64 (log.f64 base) #s(literal 3/4 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 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 7 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 7 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)))) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))

simplify489.0ms (2.9%)

Memory

5.7MiB live, 750.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 604×	`lower-fma.f64`
10 604×	`lower-fma.f32`
6 668×	`lower-*.f64`
6 668×	`lower-*.f32`
4 180×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	829	9488
1	2386	9246
2	7830	9244
0	8032	8708

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 476

Calls

Call 1

Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (log base)))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* -1/2 (/ (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))
(* 1/2 (/ (log (pow im 2)) (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 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* 1/2 (/ (log (pow re 2)) (log base)))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
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(+ (* -1 (* (pow (log base) 3) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 3)) (pow re 4))) (+ (* 1/6 (/ (* (pow im 6) (pow (log base) 3)) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2))))))
(* -1 (* (pow (log base) 3) (log (/ -1 re))))
(+ (* -1 (* (pow (log base) 3) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2))))
(+ (* -1 (* (pow (log base) 3) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 3)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2)))))
(+ (* -1 (* (pow (log base) 3) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (pow (log base) 3)) (pow re 4))) (+ (* 1/6 (/ (* (pow im 6) (pow (log base) 3)) (pow re 6))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2))))))
(* 1/2 (* (pow (log base) 3) (log (pow re 2))))
(+ (* 1/2 (* (pow (log base) 3) (log (pow re 2)))) (* 1/2 (/ (* (pow im 2) (pow (log base) 3)) (pow re 2))))
(+ (* 1/2 (* (pow (log base) 3) (log (pow re 2)))) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (pow (log base) 3)) (pow re 4))) (* 1/2 (/ (pow (log base) 3) (pow re 2))))))
(+ (* 1/2 (* (pow (log base) 3) (log (pow re 2)))) (* (pow im 2) (+ (* 1/2 (/ (pow (log base) 3) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow (log base) 3) (pow re 4))) (* 1/6 (/ (* (pow im 2) (pow (log base) 3)) (pow re 6))))))))
(* -1 (* (pow (log base) 3) (log (/ 1 im))))
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(+ (* -1 (* (pow (log base) 3) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 3) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (pow (log base) 3)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))))
(* -1 (* (pow (log base) 3) (log (/ -1 im))))
(+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))
(+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2)))))
(+ (* -1 (* (pow (log base) 3) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (pow (log base) 3)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (pow (log base) 3)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (pow (log base) 3)) (pow im 2))))))
(* 1/2 (* (pow (log base) 3) (log (+ (pow im 2) (pow re 2)))))
(* 1/2 (* (pow (log base) 3) (log (+ (pow im 2) (pow re 2)))))
(* 1/2 (* (pow (log base) 3) (log (+ (pow im 2) (pow re 2)))))
(* 1/2 (* (pow (log base) 3) (log (+ (pow im 2) (pow re 2)))))
(* -1/2 (* (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 3)))
(* -1/2 (* (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 3)))
(* -1/2 (* (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 3)))
(* -1/2 (* (log (+ (pow im 2) (pow re 2))) (pow (log (/ 1 base)) 3)))
(* 1/2 (* (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
(* 1/2 (* (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
(* 1/2 (* (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
(* 1/2 (* (log (+ (pow im 2) (pow re 2))) (pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)))
(* 1/2 (log (pow im 2)))
(+ (* 1/2 (log (pow im 2))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (pow im 4))) (* 1/2 (/ 1 (pow im 2))))))
(+ (* 1/2 (log (pow im 2))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (pow im 6))) (* 1/4 (/ 1 (pow im 4))))) (* 1/2 (/ 1 (pow im 2))))))
(* -1 (log (/ 1 re)))
(+ (* -1 (log (/ 1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ 1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (log (/ -1 re)))
(+ (* -1 (log (/ -1 re))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))
(+ (* -1 (log (/ -1 re))) (+ (* -1/4 (/ (pow im 4) (pow re 4))) (+ (* 1/6 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* 1/2 (log (pow re 2)))
(+ (* 1/2 (log (pow re 2))) (* 1/2 (/ (pow im 2) (pow re 2))))
(+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (pow re 4))) (* 1/2 (/ 1 (pow re 2))))))
(+ (* 1/2 (log (pow re 2))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (pow re 6))) (* 1/4 (/ 1 (pow re 4))))) (* 1/2 (/ 1 (pow re 2))))))
(* -1 (log (/ 1 im)))
(+ (* -1 (log (/ 1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ 1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (log (/ -1 im)))
(+ (* -1 (log (/ -1 im))) (* 1/2 (/ (pow re 2) (pow im 2))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))
(+ (* -1 (log (/ -1 im))) (+ (* -1/4 (/ (pow re 4) (pow im 4))) (+ (* 1/6 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(log (pow im 2))
(+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))
(+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))
(+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))
(* -2 (log (/ 1 re)))
(+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(* -2 (log (/ -1 re)))
(+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))
(+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))
(log (pow re 2))
(+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))
(+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))
(+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))
(* -2 (log (/ 1 im)))
(+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(* -2 (log (/ -1 im)))
(+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))
(+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
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(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
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(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (log base) 4)
(pow (log base) 4)
(pow (log base) 4)
(pow (log base) 4)
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 4)
(pow (log (/ 1 base)) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 4)
(pow (log base) 3)
(pow (log base) 3)
(pow (log base) 3)
(pow (log base) 3)
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (pow (log (/ 1 base)) 3))
(* -1 (pow (log (/ 1 base)) 3))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 3)

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

eval1.7s (9.8%)

Memory: -1.4MiB live, 2 199.3MiB allocated
Compiler: Compiled 235 157 to 8 521 computations (96.4% saved)

prune1.0s (6%)

Memory

-46.7MiB live, 1 518.7MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	7 940	22	7 962
Fresh	12	0	12
Picked	3	2	5
Done	0	0	0
Total	7 955	24	7 979

Accuracy

100.0%

Counts

7 979 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (log.f64 base))))
▶	52.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)))) (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))))
	98.8%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))) (.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))))
▶	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.7%	(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.8%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	54.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base))
	45.9%	(/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))))
	98.7%	(/.f64 (log.f64 im) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	98.9%	(/.f64 (log.f64 im) (log.f64 base))
	45.4%	(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
	54.0%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
	52.7%	(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))))
	98.7%	(.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (log.f64 im)))
	45.9%	(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im)))
	54.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (/.f64 #s(literal 2 binary64) (log.f64 base))))
✓	54.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
	98.8%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 im) (log.f64 base)))
	54.2%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
	98.7%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) #s(literal -1 binary64)))
▶	98.8%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
▶	98.8%	(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)))

Compiler

Compiled 782 to 519 computations (33.6% saved)

simplify200.0ms (1.2%)

Memory

32.7MiB live, 304.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64))))
✓	cost-diff	14208	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)))) (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (log.f64 base)))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	13888	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (log.f64 base))))
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	12800	(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
✓	cost-diff	192	(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64))
✓	cost-diff	320	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
✓	cost-diff	5120	(hypot.f64 re im)
✓	cost-diff	13440	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Rules

5 554×	`lower-*.f32`
5 534×	`lower-*.f64`
2 404×	`lower-/.f32`
2 390×	`lower-/.f64`
1 900×	`lower-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	257
0	67	233
1	103	227
2	192	223
3	764	209
4	3234	209
5	3522	209
6	3919	209
7	4419	209
8	4782	209
9	5030	209
10	7144	209
11	7321	209
12	7543	209
0	8137	209

Stop Event

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

Calls

Call 1

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

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

localize149.0ms (0.9%)

Memory

27.4MiB live, 247.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)))) (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64))))
✓	accuracy	99.5%	(.f64 (log.f64 (fma.f64 re re (.f64 im im))) (*.f64 (log.f64 base) #s(literal 1/2 binary64)))
✓	accuracy	99.2%	(pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64))
✓	accuracy	54.6%	(log.f64 (fma.f64 re re (*.f64 im im)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (log.f64 base)))
✓	accuracy	99.5%	(*.f64 (log.f64 im) (log.f64 base))
✓	accuracy	99.4%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (log.f64 base))))
✓	accuracy	99.2%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)))
✓	accuracy	99.4%	(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im))
✓	accuracy	99.2%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	accuracy	99.5%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.2%	(*.f64 (log.f64 base) (log.f64 base))

Samples

93.0ms

256×

valid

Compiler

Compiled 299 to 39 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-mult: 23.0ms (31.8% of total)

ival-log: 14.0ms (19.4% of total)

ival-div: 11.0ms (15.2% of total)

ival-hypot: 11.0ms (15.2% of total)

ival-pow2: 5.0ms (6.9% of total)

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

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

exact: 1.0ms (1.4% of total)

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

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

series59.0ms (0.3%)

Memory

-45.8MiB live, 123.7MiB allocated

Counts

22 → 504

Calls

Call 1

Inputs
#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())
#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (patch (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (patch (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) (patch (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (log.f64 base)) (patch (/.f64 #s(literal 1 binary64) (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im))) (patch (.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) (patch (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 im) (log.f64 base)))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (log.f64 im) (log.f64 base)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (log.f64 im) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (.f64 (log.f64 im) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)))) (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)))) (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 im) (log.f64 base)) (patch (.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())
#s(alt (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt (/ (log im) (log base)) (taylor 0 re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 re)) (log base))) (taylor inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (taylor inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) (taylor inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (log base) (log (/ 1 im)))) (taylor inf im) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) (taylor inf im) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf im) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (log base)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) (taylor inf im) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log base) (log (/ -1 im)))) (taylor -inf im) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))) (taylor -inf im) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor -inf im) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (log base)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))) (taylor -inf im) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base)))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())

Calls

126 calls:

Time	Variable		Point	Expression
10.0ms	base	@	inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) 0) (+ (* (log base) (log base)) (* 0 0)))
2.0ms	im	@	inf	(/ 1 (/ 1 (pow (* 1/2 (log (+ (* re re) (* im im)))) 2)))
1.0ms	re	@	inf	(/ 1 (pow (* 1/2 (log (+ (* re re) (* im im)))) 2))
1.0ms	im	@	inf	(/ 1 (pow (* 1/2 (log (+ (* re re) (* im im)))) 2))
1.0ms	im	@	0	(/ 1 (pow (* 1/2 (log (+ (* re re) (* im im)))) 2))

rewrite438.0ms (2.6%)

Memory

36.9MiB live, 671.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 068×	`lower-fma.f32`
5 066×	`lower-fma.f64`
4 988×	`lower-*.f32`
4 968×	`lower-*.f64`
4 020×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	188
0	67	145
1	210	124
2	1335	113
0	8679	113

Stop Event

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

Counts

22 → 2 729

Calls

Call 1

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

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

simplify477.0ms (2.8%)

Memory

0.2MiB live, 607.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 458×	`lower-fma.f64`
8 458×	`lower-fma.f32`
6 242×	`lower-*.f64`
6 242×	`lower-*.f32`
3 664×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	814	9526
1	2327	9261
2	7607	9218
0	8110	8708

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 500

Calls

Call 1

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

eval618.0ms (3.6%)

Memory: 47.2MiB live, 1 132.3MiB allocated
Compiler: Compiled 105 737 to 5 959 computations (94.4% saved)

prune627.0ms (3.7%)

Memory

2.4MiB live, 1 055.0MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	3 799	14	3 813
Fresh	8	9	17
Picked	2	3	5
Done	0	2	2
Total	3 809	28	3 837

Accuracy

100.0%

Counts

3 837 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (log.f64 base))))
▶	98.8%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
	98.8%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
✓	98.7%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 im) (log.f64 base))))
	53.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)))) (*.f64 (log.f64 im) (log.f64 base)))
	98.8%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
▶	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
▶	98.8%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	54.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base))
	98.7%	(/.f64 (log.f64 im) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	98.9%	(/.f64 (log.f64 im) (log.f64 base))
▶	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
▶	45.9%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
	54.0%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
	52.7%	(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))))
	45.9%	(.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im)))
✓	54.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
	98.8%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 im) (log.f64 base)))
	98.7%	(.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (*.f64 (log.f64 base) (log.f64 im))))
	98.7%	(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im))
	98.7%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 im))))
✓	98.8%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
	98.7%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 im))
	36.0%	(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	98.9%	(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.5%	(.f64 (log.f64 base) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (log.f64 im)))
✓	98.8%	(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)))
	45.4%	(.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (log.f64 im))

Compiler

Compiled 814 to 553 computations (32.1% saved)

simplify399.0ms (2.3%)

Memory

-70.7MiB live, 501.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
✓	cost-diff	13888	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(*.f64 (log.f64 im) (log.f64 base))
✓	cost-diff	13184	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
✓	cost-diff	320	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
✓	cost-diff	12224	(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 (log.f64 base) (log.f64 im))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓	cost-diff	192	(+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64))
✓	cost-diff	256	(*.f64 (log.f64 base) (log.f64 base))
✓	cost-diff	5120	(hypot.f64 re im)
✓	cost-diff	13184	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))

Rules

13 506×	`lower-fma.f64`
13 506×	`lower-fma.f32`
3 884×	`lower-*.f32`
3 876×	`lower-*.f64`
2 078×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	165
0	53	144
1	75	142
2	111	131
3	159	129
4	372	129
5	2629	129
6	3549	129
7	3656	129
8	3728	129
9	3879	129
10	4462	129
11	5944	129
0	8164	129

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (1%)

Memory

25.2MiB live, 218.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 im))
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))
✓	accuracy	99.7%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.7%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	accuracy	99.7%	(*.f64 (log.f64 im) (log.f64 base))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.9%	(pow.f64 (log.f64 base) #s(literal -1/2 binary64))
✓	accuracy	99.8%	(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im))
✓	accuracy	99.7%	(pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
✓	accuracy	99.7%	(/.f64 (log.f64 base) (log.f64 im))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.7%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
✓	accuracy	99.7%	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	accuracy	99.6%	(*.f64 (log.f64 base) (log.f64 base))

Samples

50.0ms	137×	0	invalid
31.0ms	119×	0	valid

Compiler

Compiled 192 to 31 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-pow2: 18.0ms (29.8% of total)

ival-div: 13.0ms (21.5% of total)

ival-log: 9.0ms (14.9% of total)

ival-mult: 6.0ms (9.9% of total)

ival-pow: 6.0ms (9.9% of total)

ival-hypot: 5.0ms (8.3% of total)

ival-add: 2.0ms (3.3% of total)

exact: 1.0ms (1.7% of total)

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

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

series35.0ms (0.2%)

Memory

-6.9MiB live, 33.8MiB allocated

Counts

19 → 396

Calls

Call 1

Inputs
#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 base) (log.f64 base)) (patch (.f64 (log.f64 base) (log.f64 base)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (patch (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))) #<representation binary64>) () ())
#s(alt (/.f64 (log.f64 base) (log.f64 im)) (patch (/.f64 (log.f64 base) (log.f64 im)) #<representation binary64>) () ())
#s(alt (log.f64 base) (patch (log.f64 base) #<representation binary64>) () ())
#s(alt (log.f64 im) (patch (log.f64 im) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)) (patch (.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (.f64 (log.f64 im) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 im) (log.f64 base)) (patch (.f64 (log.f64 im) (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())

Outputs
#s(alt (/ (log im) (log base)) (taylor 0 re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base))) (taylor 0 re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ 1 re)) (log base))) (taylor inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (taylor inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) (taylor inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))) (taylor inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (log (/ -1 re)) (log base))) (taylor -inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))) (taylor -inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))) (taylor -inf re) (#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log base) (log (sqrt (+ (pow im 2) (pow re 2))))) (taylor 0 base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base)))) (taylor inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base))))) (taylor -inf base) (#s(alt (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (patch (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 2) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 2) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 2) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 2) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log (/ 1 base)) 2) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 2 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log im)) (taylor 0 im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log im)) (taylor 0 im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log im)) (taylor 0 im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (log im)) (taylor 0 im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (/ 1 im))) (taylor inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (/ 1 im))) (taylor inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (/ 1 im))) (taylor inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (log (/ 1 im))) (taylor inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (+ (log -1) (* -1 (log (/ -1 im))))) (taylor -inf im) (#s(alt (/.f64 #s(literal 1 binary64) (log.f64 im)) (patch (/.f64 #s(literal 1 binary64) (log.f64 im)) #<representation binary64>) () ())) ())

Calls

99 calls:

Time	Variable		Point	Expression
15.0ms	im	@	-inf	(/ 1 (log im))
1.0ms	base	@	inf	(pow (log base) -1/2)
1.0ms	base	@	-inf	(pow (log base) -1/2)
1.0ms	im	@	-inf	(/ (log base) (log im))
1.0ms	base	@	0	(pow (log base) -1/2)

rewrite567.0ms (3.3%)

Memory

36.6MiB live, 773.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 898×	`lower-fma.f64`
4 898×	`lower-fma.f32`
4 790×	`lower-*.f32`
4 782×	`lower-*.f64`
3 486×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	122
0	53	102
1	184	94
2	1149	89
0	8349	89

Stop Event

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

Counts

19 → 2 823

Calls

Call 1

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

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

simplify501.0ms (2.9%)

Memory

27.8MiB live, 879.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 368×	`lower-fma.f64`
12 368×	`lower-fma.f32`
4 996×	`lower-*.f64`
4 996×	`lower-*.f32`
3 370×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	337	4620
1	920	4479
2	2759	4448
3	7365	4444
0	8322	4144

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 392

Calls

Call 1

Inputs
(/ (log im) (log base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(* -1 (/ (log (/ 1 base)) (log im)))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (+ (log -1) (* -1 (log (/ -1 base)))) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(/ (log base) (log im))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(* -1 (/ (log base) (log (/ 1 im))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(/ (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(log im)
(log im)
(log im)
(log im)
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(* -1 (log (/ 1 im)))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(+ (log -1) (* -1 (log (/ -1 im))))
(/ 1 (log base))
(/ 1 (log base))
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(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
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(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
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(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(sqrt (/ 1 (log base)))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(* (sqrt (/ 1 (log (/ 1 base)))) (sqrt -1))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(sqrt (/ 1 (+ (log -1) (* -1 (log (/ -1 base))))))
(/ (log im) (log base))
(/ (log im) (log base))
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(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
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(* -1 (/ (log im) (log (/ 1 base))))
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(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
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(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (+ (log -1) (* -1 (log (/ -1 im)))))
(* (log base) (log im))
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(* -1 (* (log im) (log (/ 1 base))))
(* -1 (* (log im) (log (/ 1 base))))
(* -1 (* (log im) (log (/ 1 base))))
(* -1 (* (log im) (log (/ 1 base))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
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(* -1 (/ (log im) (log (/ 1 base))))
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(* -1 (/ (log im) (log (/ 1 base))))
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(/ (log im) (log base))
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(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ 1 (* (log base) (log im)))
(/ 1 (* (log base) (log im)))
(/ 1 (* (log base) (log im)))
(/ 1 (* (log base) (log im)))
(/ -1 (* (log base) (log (/ 1 im))))
(/ -1 (* (log base) (log (/ 1 im))))
(/ -1 (* (log base) (log (/ 1 im))))
(/ -1 (* (log base) (log (/ 1 im))))
(/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(/ 1 (* (log base) (+ (log -1) (* -1 (log (/ -1 im))))))
(/ 1 (* (log base) (log im)))
(/ 1 (* (log base) (log im)))
(/ 1 (* (log base) (log im)))
(/ 1 (* (log base) (log im)))
(/ -1 (* (log im) (log (/ 1 base))))
(/ -1 (* (log im) (log (/ 1 base))))
(/ -1 (* (log im) (log (/ 1 base))))
(/ -1 (* (log im) (log (/ 1 base))))
(/ 1 (* (log im) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ 1 (* (log im) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ 1 (* (log im) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ 1 (* (log im) (+ (log -1) (* -1 (log (/ -1 base))))))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log base) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (log (/ 1 base)) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(/ 1 (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2))
(* (log base) (log im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* -1/4 (/ (* (pow re 2) (log base)) (pow im 4))) (* 1/2 (/ (log base) (pow im 2))))))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(* -1 (* (log base) (log (/ 1 re))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* -1 (* (log base) (log (/ -1 re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(* (log base) (log re))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(* -1 (* (log base) (log (/ 1 im))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* -1 (* (log base) (log (/ -1 im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log base) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (log (/ 1 base)) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ 1 (log im))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ -1 (log (/ 1 im)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 im)))))

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

eval638.0ms (3.7%)

Memory: 0.7MiB live, 1 194.7MiB allocated
Compiler: Compiled 80 384 to 5 493 computations (93.2% saved)

prune795.0ms (4.6%)

Memory

5.5MiB live, 1 004.7MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	3 745	10	3 755
Fresh	7	11	18
Picked	3	2	5
Done	1	4	5
Total	3 756	27	3 783

Accuracy

100.0%

Counts

3 783 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.8%	(pow.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓	98.8%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
	98.8%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
	45.9%	(/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	98.8%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im)))
	99.3%	(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))
	98.5%	(/.f64 (*.f64 (log.f64 im) (log.f64 base)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
	54.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base))
	98.7%	(/.f64 (log.f64 im) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	98.9%	(/.f64 (log.f64 im) (log.f64 base))
	45.8%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) (log.f64 im)))
	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base))))
✓	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im)))
	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base))))
	98.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base)))
	52.7%	(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (.f64 (log.f64 base) (log.f64 (fma.f64 re re (*.f64 im im))))))
	45.9%	(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 base))) #s(literal 2 binary64)) (log.f64 im))
✓	54.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
	98.8%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 im) (log.f64 base)))
	98.7%	(*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im))
✓	98.8%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
	98.7%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 im))
	36.0%	(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) (.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
	98.9%	(*.f64 (log.f64 base) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.5%	(.f64 (log.f64 base) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (log.f64 im)))
✓	98.8%	(.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 im)))
	45.4%	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))

Compiler

Compiled 1 340 to 454 computations (66.1% saved)

regimes95.0ms (0.6%)

Memory

11.0MiB live, 210.0MiB allocated

Counts

64 → 1

Calls

Call 1

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

Calls

5 calls:

21.0ms	im
19.0ms	(log.f64 base)
18.0ms	base
18.0ms	re
16.0ms	(/.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
99.3%	1	`re`
99.3%	1	`im`
99.3%	1	`base`
99.3%	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))))`
99.3%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes91.0ms (0.5%)

Memory

-13.4MiB live, 176.4MiB allocated

Accuracy

Total -51.7b remaining (-7532.8%)

Threshold costs -51.7b (-7532.8%)

Counts

51 → 1

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	re
18.0ms	base
15.0ms	(log.f64 base)
14.0ms	im
14.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
98.9%	1	`re`
98.9%	1	`im`
98.9%	1	`base`
98.9%	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))))`
98.9%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify6.0ms (0%)

Memory

12.2MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`+-rgt-identity_binary64`
2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	20	17

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))

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

Outputs

(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(literal 0 binary64)) (+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64)))

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

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

soundness959.0ms (5.6%)

Memory

-126.1MiB live, 623.2MiB allocated

Rules

12 210×	`lower-fma.f64`
12 210×	`lower-fma.f32`
6 650×	`lower-fma.f32`
6 648×	`lower-fma.f64`
5 414×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	61
1	99	55
2	688	55
3	6199	55
0	8222	35
0	299	2912
1	840	2860
2	2644	2828
3	6337	2818
0	8102	2516
0	29	122
0	53	102
1	184	94
2	1149	89
0	8349	89
0	36	188
0	67	145
1	210	124
2	1335	113
0	8679	113
0	36	174
0	66	154
1	193	109
2	1155	101
0	8793	101

Stop Event

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

Compiler

Compiled 115 to 71 computations (38.3% saved)

preprocess48.0ms (0.3%)

Memory

-1.3MiB live, 119.4MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 282 to 180 computations (36.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze165.0ms (1%)

sample1.5s (8.7%)

preprocess425.0ms (2.5%)

explain523.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify352.0ms (2.1%)

localize152.0ms (0.9%)

series285.0ms (1.7%)

rewrite600.0ms (3.5%)

simplify404.0ms (2.4%)

eval435.0ms (2.5%)

prune559.0ms (3.3%)

simplify390.0ms (2.3%)

localize288.0ms (1.7%)

series242.0ms (1.4%)

rewrite743.0ms (4.3%)

simplify489.0ms (2.9%)

eval1.7s (9.8%)

prune1.0s (6%)

simplify200.0ms (1.2%)

localize149.0ms (0.9%)

series59.0ms (0.3%)

rewrite438.0ms (2.6%)

simplify477.0ms (2.8%)

eval618.0ms (3.6%)

prune627.0ms (3.7%)

simplify399.0ms (2.3%)

localize173.0ms (1%)

series35.0ms (0.2%)

rewrite567.0ms (3.3%)

simplify501.0ms (2.9%)

eval638.0ms (3.7%)

prune795.0ms (4.6%)

regimes95.0ms (0.6%)

regimes91.0ms (0.5%)

simplify6.0ms (0%)

soundness959.0ms (5.6%)

preprocess48.0ms (0.3%)

end0.0ms (0%)

Profiling