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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze286.0ms (1.8%)

Memory

-12.3MiB live, 204.9MiB 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)

sample2.0s (12.1%)

Memory

26.3MiB live, 2 028.0MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-log: 328.0ms (27.8% of total)

ival-hypot: 321.0ms (27.2% of total)

ival-mult: 215.0ms (18.2% of total)

ival-add: 192.0ms (16.3% of total)

ival-atan2: 63.0ms (5.3% of total)

ival-div: 46.0ms (3.9% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain280.0ms (1.7%)

Memory

4.6MiB live, 566.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	1	(3.877956296916367e-158 -6.705530887702019e-178 1.1052220880162955e-307)	`(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	109	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	109
↳	`(*.f64 re re)`	overflow	68
↳	`(*.f64 im im)`	overflow	57
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	12	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	12
↳	`(*.f64 re re)`	underflow	49
↳	`(*.f64 im im)`	underflow	62

Confusion

	Predicted +	Predicted -
+	121	1
-	0	134

Precision

1.0

Recall

0.9918032786885246

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	1
-	0	0	134

Precision?

1.0

Recall?

0.9918032786885246

Freqs

test

number	freq
0	135
1	121

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

82.0ms

512×

valid

Compiler

Compiled 273 to 58 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-log: 16.0ms (27.3% of total)

ival-mult: 14.0ms (23.9% of total)

ival-hypot: 11.0ms (18.8% of total)

ival-atan2: 8.0ms (13.7% of total)

ival-add: 6.0ms (10.3% of total)

ival-div: 3.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess254.0ms (1.6%)

Memory

8.5MiB live, 325.1MiB 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)

Compiler

Compiled 31 to 18 computations (41.9% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

53.8%

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

simplify216.0ms (1.3%)

Memory

-56.8MiB live, 255.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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)

localize55.0ms (0.3%)

Memory

-4.9MiB live, 111.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.36556625976844204	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy	0.38119125976844204	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy	0.5465812988422102	(*.f64 (log.f64 base) (log.f64 base))
accuracy	28.268021308354093	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

35.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-log: 7.0ms (29.5% of total)

ival-mult: 6.0ms (25.3% of total)

ival-hypot: 4.0ms (16.9% of total)

ival-add: 3.0ms (12.6% of total)

ival-atan2: 2.0ms (8.4% of total)

ival-div: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series151.0ms (0.9%)

Memory

34.1MiB live, 191.8MiB 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)))) (* 1/2 (/ (* (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
83.0ms	base	@	0	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
43.0ms	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)))
1.0ms	re	@	inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

simplify383.0ms (2.4%)

Memory

10.7MiB live, 439.9MiB 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 (.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) (.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 #s(literal -1/4 binary64) (/.f64 (.f64 im im) (.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 im (.f64 im (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 im im) (.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 #s(literal -1/4 binary64) (/.f64 (.f64 im im) (.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 #s(literal -1/4 binary64) (/.f64 (.f64 im im) (.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 #s(literal -1/4 binary64) (/.f64 (.f64 im im) (.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 (.f64 im 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 (.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 (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 (.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))))))
(fma.f64 (log.f64 im) (log.f64 base) (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)))))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
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(.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))))

rewrite535.0ms (3.3%)

Memory

-11.5MiB live, 555.5MiB allocated

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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) #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)))) (.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 #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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (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 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 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 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 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 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (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 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 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 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 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 #s(literal 0 binary64) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
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eval286.0ms (1.8%)

Memory: 15.4MiB live, 481.9MiB allocated
Compiler: Compiled 69 932 to 3 238 computations (95.4% saved)

prune278.0ms (1.7%)

Memory

-13.4MiB live, 680.1MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	1 636	20	1 656
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 637	20	1 657

Accuracy

99.8%

Counts

1 657 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.7%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))))
	53.7%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))))
▶	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))))
	53.7%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.6%	(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
	98.7%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.7%	(/.f64 #s(literal 1 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)))) (log.f64 base))))
	53.8%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (log.f64 base))))
	52.2%	(.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	52.1%	(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 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)))))
▶	53.8%	(.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)))
▶	53.8%	(.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))))
	53.8%	(.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	53.8%	(.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)))
	53.8%	(.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))
	53.8%	(.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)))))
	53.8%	(.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))))
	15.9%	(exp.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) #s(literal -1 binary64)))
	53.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
▶	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

Compiler

Compiled 924 to 572 computations (38.1% saved)

simplify311.0ms (1.9%)

Memory

-0.5MiB live, 350.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -4 binary64))
cost-diff	19264	(.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))))
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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))
cost-diff	13568	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))))
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	12800	(.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)))
cost-diff	0	(log.f64 base)
cost-diff	0	(log.f64 im)
cost-diff	0	(/.f64 (log.f64 im) (log.f64 base))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
cost-diff	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

19 754×	`lower-fma.f32`
19 752×	`lower-fma.f64`
4 102×	`lower-*.f32`
4 086×	`lower-*.f64`
1 956×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	334
0	78	310
1	107	300
2	184	291
3	479	283
4	911	273
5	1366	273
6	3050	273
7	4537	273
8	4561	273
9	4617	273
10	4756	273
11	4947	273
12	6184	273
13	7690	273
0	8076	273

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

localize226.0ms (1.4%)

Memory

5.7MiB live, 166.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.33984375	(.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)))
accuracy	0.7697603516639131	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.954624352820947	(pow.f64 (log.f64 base) #s(literal -4 binary64))
accuracy	29.348572999571456	(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy	0.38119125976844204	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
accuracy	0.41015625	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))))
accuracy	0.5547638672213043	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	29.348572999571456	(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy	0.38119125976844204	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
accuracy	0.41796875	(.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)))
accuracy	0.5547638672213043	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	29.348572999571456	(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy	0	(log.f64 im)
accuracy	0	(log.f64 base)
accuracy	0.36556625976844204	(/.f64 (log.f64 im) (log.f64 base))
accuracy	0.40232733114895997	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
accuracy	0	(log.f64 base)
accuracy	0.36556625976844204	(/.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	0.38119125976844204	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
accuracy	0.5465812988422102	(*.f64 (log.f64 base) (log.f64 base))

Samples

76.0ms

256×

valid

Compiler

Compiled 384 to 38 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 13.0ms (24.7% of total)

ival-log: 11.0ms (20.9% of total)

ival-pow: 9.0ms (17.1% of total)

ival-hypot: 8.0ms (15.2% of total)

ival-div: 6.0ms (11.4% of total)

ival-add: 3.0ms (5.7% of total)

ival-atan2: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% of total)

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

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

series188.0ms (1.2%)

Memory

14.9MiB live, 167.9MiB allocated

Counts

20 → 492

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 #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) (patch #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base))) #<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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base))) (patch (.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))) #<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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (patch (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base))) (patch (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base))) #<representation binary64>) () ())
#s(alt (.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)))) (patch (.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)))) #<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 (.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 (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 (log.f64 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<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>) () ())) ())
#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>) () ())) ())
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#s(alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2))))) (taylor -inf im) (#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 (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

123 calls:

Time	Variable		Point	Expression
60.0ms	im	@	0	(/ (log im) (log base))
38.0ms	base	@	0	(/ (log im) (log base))
16.0ms	base	@	0	(* (pow (log base) -2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)))
8.0ms	re	@	0	(* (pow (log base) -2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)))
7.0ms	im	@	-inf	(/ (log im) (log base))

simplify399.0ms (2.5%)

Memory

4.0MiB live, 276.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 402×	`lower-fma.f64`
8 402×	`lower-fma.f32`
6 324×	`lower-*.f64`
6 324×	`lower-*.f32`
3 432×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	780	9830
1	2231	9637
2	7560	9622
0	8033	9056

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 488

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

rewrite1.2s (7.6%)

Memory

32.7MiB live, 969.7MiB allocated

Rules

7 724×	`lower-fma.f32`
7 722×	`lower-fma.f64`
5 396×	`lower-*.f32`
5 382×	`lower-*.f64`
3 860×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	192
0	78	165
1	198	135
2	1084	110
0	8374	110

Stop Event

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

Counts

20 → 8 461

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

eval2.1s (12.8%)

Memory: -23.8MiB live, 3 007.7MiB allocated
Compiler: Compiled 332 248 to 7 659 computations (97.7% saved)

prune1.1s (6.6%)

Memory

9.6MiB live, 1 992.7MiB allocated

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	9 809	24	9 833
Fresh	13	2	15
Picked	4	1	5
Done	0	0	0
Total	9 826	27	9 853

Accuracy

100.0%

Counts

9 853 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 im) (log.f64 base)))))
	53.7%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
	99.0%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.0%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (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(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.7%	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	53.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base))
	98.7%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	53.7%	(/.f64 #s(literal 1 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)))) (log.f64 base))))
	53.6%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (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)))
	53.7%	(.f64 (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 -4 binary64)))))
▶	19.1%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (*.f64 (+.f64 im re) (-.f64 im re))))))) (log.f64 base)))
	98.6%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 im) (log.f64 base))))
	28.1%	(.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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
	98.6%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 3)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
	53.7%	(.f64 (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)))) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))))
✓	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
▶	51.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
	51.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.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))))
▶	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
	51.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))

Compiler

Compiled 1 105 to 706 computations (36.1% saved)

simplify179.0ms (1.1%)

Memory

-22.2MiB live, 293.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re))))))) (log.f64 base))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	12800	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (*.f64 (+.f64 im re) (-.f64 im re))))))) (log.f64 base)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	704	(/.f64 #s(literal 1 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)))) (log.f64 base))))
cost-diff	13184	(/.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)))
cost-diff	0	(log.f64 im)
cost-diff	0	(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
cost-diff	12800	(exp.f64 (log.f64 (log.f64 base)))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
cost-diff	192	(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
cost-diff	256	(*.f64 (log.f64 base) (log.f64 base))
cost-diff	320	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
cost-diff	5120	(hypot.f64 re im)

Rules

8 162×	`lower-fma.f32`
8 156×	`lower-fma.f64`
2 808×	`lower-*.f32`
2 774×	`lower-*.f64`
1 964×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	608
0	112	513
1	177	445
2	322	414
3	850	404
4	2282	404
5	5161	404
6	7547	404
0	8191	396

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

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

localize212.0ms (1.3%)

Memory

8.1MiB live, 429.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2949600586106521	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.42239780282170275	(-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re))))))
accuracy	23.48648000109123	(log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (*.f64 (+.f64 im re) (-.f64 im re)))))
accuracy	25.690127640601787	(log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (*.f64 im im)))))
accuracy	0.203125	(/.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)))
accuracy	0.22265625	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))
accuracy	0.280292529305326	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	15.738613399192886	(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy	0.029628759768442016	(log.f64 (log.f64 base))
accuracy	0.193691259768442	(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
accuracy	0.25519146414776145	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
accuracy	0.5984154660627583	(exp.f64 (log.f64 (log.f64 base)))
accuracy	0	(log.f64 base)
accuracy	0.10546875	(/.f64 #s(literal 1 binary64) (log.f64 base))
accuracy	0.213222509768442	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
accuracy	0.25519146414776145	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
accuracy	0	#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
accuracy	0.1953125	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy	0.22265625	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
accuracy	0.280292529305326	(*.f64 (log.f64 base) (log.f64 base))

Samples

60.0ms	134×	0	valid
52.0ms	122×	0	invalid

Compiler

Compiled 651 to 55 computations (91.6% saved)

Precisions

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

ival-mult: 26.0ms (30.7% of total)

ival-log: 24.0ms (28.3% of total)

ival-add: 10.0ms (11.8% of total)

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

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

ival-pow2: 4.0ms (4.7% of total)

ival-pow: 3.0ms (3.5% of total)

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

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

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

exact: 1.0ms (1.2% of total)

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

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

series310.0ms (1.9%)

Memory

10.6MiB live, 541.1MiB allocated

Counts

27 → 624

Calls

Call 1

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

Outputs
#s(alt im (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt re (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 re) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
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#s(alt (- (* -6 (log (/ 1 re))) (* -4 (log (/ 1 re)))) (taylor inf re) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (log (/ 1 re))) (/ (pow im 2) (pow re 2))) (* -4 (log (/ 1 re)))) (taylor inf re) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (log (/ 1 re))) (* -1 (/ (* (pow im 2) (+ im (* -1 im))) (pow re 3)))) (+ (* -4 (log (/ 1 re))) (* -1 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (log (/ 1 re))) (* -1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) (pow re 4)))) (+ (* -4 (log (/ 1 re))) (+ (* -1 (/ (pow im 2) (pow re 2))) (/ (* (pow im 2) (+ im (* -1 im))) (pow re 3))))) (taylor inf re) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (* -6 (log (/ -1 re))) (* -4 (log (/ -1 re)))) (taylor -inf re) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (log (/ -1 re))) (/ (pow im 2) (pow re 2))) (* -4 (log (/ -1 re)))) (taylor -inf re) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (log (/ -1 re))) (/ (* (pow im 2) (+ im (* -1 im))) (pow re 3))) (+ (* -4 (log (/ -1 re))) (* -1 (/ (pow im 2) (pow re 2))))) (taylor -inf re) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (log (/ -1 re))) (* -1 (/ (- (* 1/24 (/ (+ (* -12 (pow im 4)) (* 24 (pow im 4))) re)) (* (pow im 2) (+ im (* -1 im)))) (pow re 3)))) (+ (* -4 (log (/ -1 re))) (* -1 (/ (pow im 2) (pow re 2))))) (taylor -inf re) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (log (pow re 6)) (log (pow re 4))) (taylor 0 im) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (pow re 6)) (/ (pow im 2) (pow re 2))) (log (pow re 4))) (taylor 0 im) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (pow re 6)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2))))) (log (pow re 4))) (taylor 0 im) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (log (pow re 6)) (* (pow im 2) (+ (* (pow im 2) (- (* (pow im 2) (- (/ 1 (pow re 6)) (* 1/720 (+ (* -360 (/ (pow (+ re (* -1 re)) 2) (pow re 8))) (* 480 (/ 1 (pow re 6))))))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2))))) (log (pow re 4))) (taylor 0 im) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im)))) (taylor inf im) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (log (/ 1 im))) (* -1 (/ (+ re (* -1 re)) im))) (* -4 (log (/ 1 im)))) (taylor inf im) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (log (/ 1 im))) (* -1/2 (/ (+ (* -2 (pow re 2)) (* -1 (pow (+ re (* -1 re)) 2))) (pow im 2)))) (+ (* -4 (log (/ 1 im))) (+ (* -1 (/ re im)) (/ re im)))) (taylor inf im) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (log (/ 1 im))) (* -1/6 (/ (+ (* 2 (pow (+ re (* -1 re)) 3)) (* 6 (* (pow re 2) (+ re (* -1 re))))) (pow im 3)))) (+ (* -4 (log (/ 1 im))) (+ (* -1 (/ re im)) (+ (* 1/2 (/ (+ (* -2 (pow re 2)) (* -1 (pow (+ re (* -1 re)) 2))) (pow im 2))) (/ re im))))) (taylor inf im) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im)))) (taylor -inf im) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (log (/ -1 im))) (* -1 (/ (+ re (* -1 re)) im))) (* -4 (log (/ -1 im)))) (taylor -inf im) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (log (/ -1 im))) (* -1 (/ (- (* 1/2 (/ (+ (* -2 (pow re 2)) (* -1 (pow (+ re (* -1 re)) 2))) im)) (* -1 (+ re (* -1 re)))) im))) (* -4 (log (/ -1 im)))) (taylor -inf im) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -6 (log (/ -1 im))) (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (pow re 2) (+ re (* -1 re)))) (* -2 (pow (+ re (* -1 re)) 3))) im)) (* 1/2 (+ (* -2 (pow re 2)) (* -1 (pow (+ re (* -1 re)) 2))))) im)) (* -1 (+ re (* -1 re)))) im))) (* -4 (log (/ -1 im)))) (taylor -inf im) (#s(alt (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) (patch (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (.f64 (+.f64 im re) (-.f64 im re)))))) #<representation binary64>) () ())) ())

Calls

156 calls:

Time	Variable		Point	Expression
102.0ms	base	@	0	(* (pow (log base) -2) (* (* 1/2 (- (log (+ (* re (* re (* re (* re (* re re))))) (* (* im (* im im)) (* im (* im im))))) (log (+ (* re (* re (* re re))) (* (* im im) (* (+ im re) (- im re))))))) (log base)))
26.0ms	base	@	-inf	(log (log base))
21.0ms	re	@	0	(log (+ (* re (* re (* re (* re (* re re))))) (* (* im (* im im)) (* im (* im im)))))
18.0ms	base	@	0	(log (log base))
17.0ms	im	@	0	(log (+ (* re (* re (* re (* re (* re re))))) (* (* im (* im im)) (* im (* im im)))))

simplify333.0ms (2%)

Memory

-13.6MiB live, 401.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 740×	`lower-fma.f64`
9 740×	`lower-fma.f32`
6 550×	`lower-+.f64`
6 550×	`lower-+.f32`
5 638×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1160	12760
1	3510	11880
0	8526	11144

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 620

Calls

Call 1

Inputs
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)
(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 im) (log base))
(/ (log im) (log base))
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(* -2 (log (/ 1 re)))
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(* -6 (log (/ -1 re)))
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Outputs
im
(+ im (* 1/2 (/ (pow re 2) im)))
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(+ 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 (.f64 re re) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 re re) (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
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(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
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(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
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(* -1 re)
(neg.f64 re)
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(neg.f64 (fma.f64 re (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 im im)) (*.f64 re re)) re))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
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(- (log (pow re 6)) (log (pow re 4)))
(-.f64 (log.f64 (pow.f64 re #s(literal 6 binary64))) (log.f64 (pow.f64 re #s(literal 4 binary64))))
(- (+ (log (pow re 6)) (/ (pow im 2) (pow re 2))) (log (pow re 4)))
(+.f64 (/.f64 (.f64 im im) (.f64 re re)) (-.f64 (log.f64 (pow.f64 re #s(literal 6 binary64))) (log.f64 (pow.f64 re #s(literal 4 binary64)))))
(- (+ (log (pow re 6)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2))))) (log (pow re 4)))
(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))) (-.f64 (log.f64 (pow.f64 re #s(literal 6 binary64))) (log.f64 (pow.f64 re #s(literal 4 binary64)))))
(- (+ (log (pow re 6)) (* (pow im 2) (+ (* (pow im 2) (- (* (pow im 2) (- (/ 1 (pow re 6)) (* 1/720 (+ (* -360 (/ (pow (+ re (* -1 re)) 2) (pow re 8))) (* 480 (/ 1 (pow re 6))))))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2))))) (log (pow re 4)))
(fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (fma.f64 (.f64 im im) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 (+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 8 binary64))) (/.f64 #s(literal 480 binary64) (pow.f64 re #s(literal 6 binary64)))) #s(literal -1/720 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 re re))) (-.f64 (log.f64 (pow.f64 re #s(literal 6 binary64))) (log.f64 (pow.f64 re #s(literal 4 binary64)))))
(- (* -6 (log (/ 1 im))) (* -4 (log (/ 1 im))))
(neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))
(- (+ (* -6 (log (/ 1 im))) (* -1 (/ (+ re (* -1 re)) im))) (* -4 (log (/ 1 im))))
(+.f64 (/.f64 #s(literal 0 binary64) im) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))))
(- (+ (* -6 (log (/ 1 im))) (* -1/2 (/ (+ (* -2 (pow re 2)) (* -1 (pow (+ re (* -1 re)) 2))) (pow im 2)))) (+ (* -4 (log (/ 1 im))) (+ (* -1 (/ re im)) (/ re im))))
(fma.f64 (neg.f64 (log.f64 im)) #s(literal -6 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 re re) #s(literal -2 binary64) #s(literal 0 binary64)) (.f64 im im)) (fma.f64 (log.f64 im) #s(literal -4 binary64) #s(literal 0 binary64))))
(- (+ (* -6 (log (/ 1 im))) (* -1/6 (/ (+ (* 2 (pow (+ re (* -1 re)) 3)) (* 6 (* (pow re 2) (+ re (* -1 re))))) (pow im 3)))) (+ (* -4 (log (/ 1 im))) (+ (* -1 (/ re im)) (+ (* 1/2 (/ (+ (* -2 (pow re 2)) (* -1 (pow (+ re (* -1 re)) 2))) (pow im 2))) (/ re im)))))
(+.f64 (fma.f64 (neg.f64 (log.f64 im)) #s(literal -6 binary64) (/.f64 #s(literal 0 binary64) (.f64 im (.f64 im im)))) (fma.f64 (log.f64 im) #s(literal -4 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 re re) #s(literal -2 binary64) #s(literal 0 binary64)) (.f64 im im)) #s(literal 0 binary64)))))
(- (* -6 (log (/ -1 im))) (* -4 (log (/ -1 im))))
(*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64))
(- (+ (* -6 (log (/ -1 im))) (* -1 (/ (+ re (* -1 re)) im))) (* -4 (log (/ -1 im))))
(+.f64 (/.f64 #s(literal 0 binary64) im) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)))
(- (+ (* -6 (log (/ -1 im))) (* -1 (/ (- (* 1/2 (/ (+ (* -2 (pow re 2)) (* -1 (pow (+ re (* -1 re)) 2))) im)) (* -1 (+ re (* -1 re)))) im))) (* -4 (log (/ -1 im))))
(+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 re re) #s(literal -2 binary64) #s(literal 0 binary64)) im) #s(literal 0 binary64)) (neg.f64 im)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)))
(- (+ (* -6 (log (/ -1 im))) (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (pow re 2) (+ re (* -1 re)))) (* -2 (pow (+ re (* -1 re)) 3))) im)) (* 1/2 (+ (* -2 (pow re 2)) (* -1 (pow (+ re (* -1 re)) 2))))) im)) (* -1 (+ re (* -1 re)))) im))) (* -4 (log (/ -1 im))))
(+.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 re re) #s(literal -2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) im)) (neg.f64 im)) (neg.f64 im)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) #s(literal -2 binary64)))

rewrite338.0ms (2.1%)

Memory

32.1MiB live, 455.5MiB allocated

Rules

5 208×	`lower-fma.f32`
5 202×	`lower-fma.f64`
3 996×	`lower-/.f32`
3 986×	`lower-/.f64`
3 712×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	389
0	112	304
1	329	191
2	2144	166
0	8378	165

Stop Event

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

Counts

27 → 1 034

Calls

Call 1

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

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

eval280.0ms (1.7%)

Memory: 6.2MiB live, 553.6MiB allocated
Compiler: Compiled 69 138 to 4 634 computations (93.3% saved)

prune409.0ms (2.5%)

Memory

28.6MiB live, 568.7MiB allocated

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1 954	11	1 965
Fresh	5	16	21
Picked	3	2	5
Done	0	1	1
Total	1 962	30	1 992

Accuracy

100.0%

Counts

1 992 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 im) (log.f64 base)))))
	99.0%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.0%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (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(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	53.7%	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	53.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base))
▶	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))))
	53.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base)))
▶	98.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im))))
	53.6%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (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)))
	53.7%	(.f64 (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 -4 binary64)))))
	81.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (- (log (+ ( re (* re (* re (* re (* re re))))) (* (* im (* im im)) (* im (* im im))))) (log (+ (* re (* re (* re re))) (* (* im im) (* (+ im re) (- im re)))))) (+.f64 (fma.f64 (neg.f64 (log.f64 im)) #s(literal -6 binary64) (/.f64 #s(literal 0 binary64) (.f64 im (.f64 im im)))) (fma.f64 (log.f64 im) #s(literal -4 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 re re) #s(literal -2 binary64) #s(literal 0 binary64)) (.f64 im im)) #s(literal 0 binary64))))))) (log.f64 base)))
	98.6%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 im) (log.f64 base))))
	28.1%	(.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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
	98.6%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 3)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
▶	53.7%	(.f64 (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)))) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	51.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))))
✓	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
✓	51.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
	51.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 im)))
✓	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 im)))
▶	51.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)))
	51.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
	19.1%	#s(approx (* (pow (log base) -2) (* (* 1/2 (- (log (+ (* re (* re (* re (* re (* re re))))) (* (* im (* im im)) (* im (* im im))))) (log (+ (* re (* re (* re re))) (* (* im im) (* (+ im re) (- im re))))))) (log base))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) (log.f64 (pow.f64 im #s(literal 4 binary64))))) (log.f64 base)))

Compiler

Compiled 1 079 to 726 computations (32.7% saved)

simplify326.0ms (2%)

Memory

-71.2MiB live, 130.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 5 binary64)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -6 binary64))
cost-diff	18944	(.f64 (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)))) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
cost-diff	0	(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))))
cost-diff	0	(neg.f64 (log.f64 (log.f64 base)))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)))
cost-diff	320	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
cost-diff	12224	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
cost-diff	0	(log.f64 base)
cost-diff	0	(/.f64 (log.f64 base) (log.f64 im))
cost-diff	0	#s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im))))
cost-diff	0	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
cost-diff	0	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
cost-diff	128	(+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64)))
cost-diff	5120	(hypot.f64 re im)

Rules

4 926×	`lower-fma.f32`
4 924×	`lower-fma.f64`
3 210×	`lower-*.f32`
3 196×	`lower-*.f64`
1 698×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	340
0	87	321
1	119	316
2	191	301
3	325	295
4	402	295
5	818	295
6	2022	295
7	4199	295
8	5267	290
9	6599	290
10	7591	290
0	8910	288

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(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #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(approx (* (atan2 im re) 0) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im))))
#s(literal 1 binary64)
#s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 base)
base
(log.f64 im)
im
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(neg.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(log.f64 base)
base
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))))
#s(literal 1 binary64)
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 base)
base
#s(literal 2 binary64)
#s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))
(*.f64 (log.f64 base) (log.f64 im))
(log.f64 im)
im
(.f64 (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)))) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(pow.f64 (log.f64 base) #s(literal -6 binary64))
(log.f64 base)
base
#s(literal -6 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 5 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 5 binary64))
#s(literal 5 binary64)

Outputs
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (fma.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64)))
(fma.f64 (log.f64 (sqrt.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64)))
(*.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(approx (* (atan2 im re) 0) #s(literal 0 binary64))
#s(literal 0 binary64)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im))))
#s(literal 1 binary64)
#s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 base)
base
(log.f64 im)
im
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
(/.f64 (log.f64 im) (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(/.f64 #s(literal 1 binary64) (log.f64 base))
(neg.f64 (log.f64 (log.f64 base)))
(log.f64 (log.f64 base))
(log.f64 base)
base
(log.f64 im)
im
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))))
(.f64 #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
#s(literal 1 binary64)
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(log.f64 base)
base
#s(literal 2 binary64)
#s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))
(*.f64 (log.f64 base) (log.f64 im))
(log.f64 im)
im
(.f64 (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)))) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 re re (*.f64 im im))) (/.f64 #s(literal 1 binary64) (log.f64 base))))
(pow.f64 (log.f64 base) #s(literal -6 binary64))
(log.f64 base)
base
#s(literal -6 binary64)
(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 5 binary64)))
(.f64 (log.f64 (fma.f64 re re (.f64 im im))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 5 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 5 binary64))
#s(literal 5 binary64)

localize232.0ms (1.4%)

Memory

2.3MiB live, 237.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.203125	(.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 5 binary64)))
accuracy	0.5827268183778341	(pow.f64 (log.f64 base) #s(literal 5 binary64))
accuracy	0.6660792476834122	(pow.f64 (log.f64 base) #s(literal -6 binary64))
accuracy	15.738613399192886	(log.f64 (fma.f64 re re (*.f64 im im)))
accuracy	0.203125	(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))))
accuracy	0.22265625	(*.f64 (log.f64 base) (log.f64 im))
accuracy	0.258000550980274	#s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))
accuracy	0.2802925293053261	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.029628759768442016	(log.f64 (log.f64 base))
accuracy	0.213222509768442	(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
accuracy	0.25519146414776145	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)))
accuracy	0.6072618039787365	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
accuracy	0	(log.f64 base)
accuracy	0.109375	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im))))
accuracy	0.131191259768442	(/.f64 (log.f64 base) (log.f64 im))
accuracy	0.25973606754825335	#s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im)))
accuracy	0	#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
accuracy	0.1953125	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
accuracy	0.22265625	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
accuracy	0.2802925293053261	(pow.f64 (log.f64 base) #s(literal 2 binary64))

Samples

59.0ms	122×	0	invalid
51.0ms	134×	0	valid

Compiler

Compiled 339 to 43 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 19.0ms (29.4% of total)

ival-log: 16.0ms (24.8% of total)

ival-div: 7.0ms (10.8% of total)

ival-pow: 7.0ms (10.8% of total)

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

ival-add: 3.0ms (4.6% of total)

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

ival-atan2: 2.0ms (3.1% of total)

ival-pow2: 2.0ms (3.1% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series80.0ms (0.5%)

Memory

8.2MiB live, 124.8MiB allocated

Counts

24 → 624

Calls

Call 1

Inputs
#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (patch (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (patch (/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (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 (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im)))) #<representation binary64>) () ())
#s(alt #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im))) (patch #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.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 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (patch (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)) (patch (.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))) (patch #s(approx (/ (+ ( (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))) #<representation binary64>) () ())
#s(alt (neg.f64 (log.f64 (log.f64 base))) (patch (neg.f64 (log.f64 (log.f64 base))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (.f64 (log.f64 base) (log.f64 im))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (.f64 (log.f64 base) (log.f64 im)))) (patch (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (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 -6 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 5 binary64)))) (patch (.f64 (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)))) (pow.f64 (log.f64 base) #s(literal 5 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal -6 binary64)) (patch (pow.f64 (log.f64 base) #s(literal -6 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 5 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 5 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (patch #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt (log.f64 (log.f64 base)) (patch (log.f64 (log.f64 base)) #<representation binary64>) () ())
#s(alt #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (.f64 (log.f64 base) (log.f64 im))) (patch #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.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 (fma.f64 re re (.f64 im im))) (patch (log.f64 (fma.f64 re re (.f64 im im))) #<representation binary64>) () ())
#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())

Outputs
#s(alt im (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* 1/2 (/ (pow re 2) im))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im))))) (taylor 0 re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt re (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))) (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))) (taylor inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 re) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))) (taylor -inf re) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt re (taylor 0 im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ re (* 1/2 (/ (pow im 2) re))) (taylor 0 im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))) (taylor 0 im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re))))) (taylor 0 im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt im (taylor inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))) (taylor inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
#s(alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))) (taylor inf im) (#s(alt (hypot.f64 re im) (patch (hypot.f64 re im) #<representation binary64>) () ())) ())
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#s(alt (* -2 (log (/ 1 re))) (taylor inf re) (#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 (+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2))) (taylor inf re) (#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 (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) (taylor inf re) (#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 (+ (* -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))))) (taylor inf re) (#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 (* -2 (log (/ -1 re))) (taylor -inf re) (#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 (+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2))) (taylor -inf re) (#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 (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2)))) (taylor -inf re) (#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 (+ (* -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))))) (taylor -inf re) (#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 (log (pow re 2)) (taylor 0 im) (#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 (+ (log (pow re 2)) (/ (pow im 2) (pow re 2))) (taylor 0 im) (#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 (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2))))) (taylor 0 im) (#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 (+ (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))))) (taylor 0 im) (#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 (* -2 (log (/ 1 im))) (taylor inf im) (#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 (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2))) (taylor inf im) (#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 (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (taylor inf im) (#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 (+ (* -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))))) (taylor inf im) (#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 (* -2 (log (/ -1 im))) (taylor -inf im) (#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 (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2))) (taylor -inf im) (#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 (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2)))) (taylor -inf im) (#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 (+ (* -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))))) (taylor -inf im) (#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 (pow (log base) 5) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 5) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 5) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (log base) 5) (taylor 0 base) (#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 base)) 5)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 base)) 5)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 base)) 5)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (log (/ 1 base)) 5)) (taylor inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 5) (taylor -inf base) (#s(alt (pow.f64 (log.f64 base) #s(literal 5 binary64)) (patch (pow.f64 (log.f64 base) #s(literal 5 binary64)) #<representation binary64>) () ())) ())

Calls

156 calls:

Time	Variable		Point	Expression
19.0ms	re	@	inf	(* (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 5))
7.0ms	im	@	0	(* (exp (neg (log (log base)))) (log im))
1.0ms	base	@	-inf	(* (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 5))
1.0ms	base	@	inf	(* (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 5))
1.0ms	base	@	-inf	(pow (log base) -6)

simplify367.0ms (2.3%)

Memory

30.6MiB live, 555.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 980×	`lower-fma.f64`
10 980×	`lower-fma.f32`
6 870×	`lower-*.f64`
6 870×	`lower-*.f32`
3 694×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	753	12768
1	2195	12444
2	7306	12310
0	8191	11554

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 620

Calls

Call 1

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

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

rewrite491.0ms (3%)

Memory

33.6MiB live, 869.4MiB allocated

Rules

10 472×	`lower-fma.f32`
10 470×	`lower-fma.f64`
5 426×	`lower-*.f32`
5 412×	`lower-*.f64`
3 618×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	280
0	87	256
1	238	213
2	1362	193
0	8982	191

Stop Event

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

Counts

24 → 2 431

Calls

Call 1

Inputs
(hypot.f64 re im)
(+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64)))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im))))
#s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im)))
(/.f64 (log.f64 base) (log.f64 im))
(log.f64 base)
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)))
(neg.f64 (log.f64 (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))))
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(.f64 (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)))) (pow.f64 (log.f64 base) #s(literal 5 binary64))))
(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)))) (pow.f64 (log.f64 base) #s(literal 5 binary64)))
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
(log.f64 (log.f64 base))
#s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))
(*.f64 (log.f64 base) (log.f64 im))
(log.f64 (fma.f64 re re (*.f64 im im)))
(pow.f64 (log.f64 base) #s(literal 5 binary64))

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

eval879.0ms (5.4%)

Memory: -99.5MiB live, 945.4MiB allocated
Compiler: Compiled 105 773 to 6 122 computations (94.2% saved)

prune698.0ms (4.3%)

Memory

21.0MiB live, 1 215.0MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	3 394	12	3 406
Fresh	8	14	22
Picked	1	4	5
Done	0	3	3
Total	3 403	33	3 436

Accuracy

100.0%

Counts

3 436 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.7%	(pow.f64 (pow.f64 #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	98.6%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 im) (log.f64 base)))))
	98.8%	(/.f64 (/.f64 #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)) (log.f64 base))
✓	99.3%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	53.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base))
	98.7%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))))
	98.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	98.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
	53.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base)))
	98.6%	(/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (/.f64 (log.f64 base) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))))))
✓	98.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im))))
	98.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
	51.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))
	53.6%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (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)))
	53.7%	(.f64 (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 -4 binary64)))))
	81.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (- (log (+ ( re (* re (* re (* re (* re re))))) (* (* im (* im im)) (* im (* im im))))) (log (+ (* re (* re (* re re))) (* (* im im) (* (+ im re) (- im re)))))) (+.f64 (fma.f64 (neg.f64 (log.f64 im)) #s(literal -6 binary64) (/.f64 #s(literal 0 binary64) (.f64 im (.f64 im im)))) (fma.f64 (log.f64 im) #s(literal -4 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 re re) #s(literal -2 binary64) #s(literal 0 binary64)) (.f64 im im)) #s(literal 0 binary64))))))) (log.f64 base)))
	98.6%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 im) (log.f64 base))))
	98.6%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 3)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
	98.6%	(.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 5)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 5 binary64)))))
	98.4%	(.f64 (.f64 (.f64 #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	51.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))))
✓	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
✓	51.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
	51.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)))
	51.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base))) (log.f64 im)))
	51.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
✓	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 im)))
✓	51.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)))
	19.1%	#s(approx (* (pow (log base) -2) (* (* 1/2 (- (log (+ (* re (* re (* re (* re (* re re))))) (* (* im (* im im)) (* im (* im im))))) (log (+ (* re (* re (* re re))) (* (* im im) (* (+ im re) (- im re))))))) (log base))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) (log.f64 (pow.f64 im #s(literal 4 binary64))))) (log.f64 base)))

Compiler

Compiled 1 739 to 605 computations (65.2% saved)

regimes98.0ms (0.6%)

Memory

20.0MiB live, 171.7MiB allocated

Counts

68 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (*.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))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (sqrt.f64 (fma.f64 im im (*.f64 re re)))) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 im))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im))))) (log.f64 base)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 im) (log.f64 base))))
(pow.f64 (pow.f64 #s(approx (/ (pow (log base) 2) (* (* 1/2 (log (+ (* re re) (* im im)))) (log base))) (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (log.f64 im)))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.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 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)))
(/.f64 (/.f64 #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))) (log.f64 base)) (log.f64 base))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 im) (log.f64 base)))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (/.f64 (log.f64 base) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))))))
(.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 (/.f64 #s(literal 1 binary64) (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 (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 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 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)))) (log.f64 base)) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base))) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.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 -6 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 5)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 5 binary64)))))
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 3)) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
#s(approx (* (pow (log base) -2) (* (* 1/2 (- (log (+ (* re (* re (* re (* re (* re re))))) (* (* im (* im im)) (* im (* im im))))) (log (+ (* re (* re (* re re))) (* (* im im) (* (+ im re) (- im re))))))) (log base))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (pow.f64 im #s(literal 6 binary64))) (log.f64 (pow.f64 im #s(literal 4 binary64))))) (log.f64 base)))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (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)))) (pow.f64 (log.f64 base) #s(literal 5 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 (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 -4 binary64)))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #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 (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 -2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) #s(approx (- (log (+ ( re (* re (* re (* re (* re re))))) (* (* im (* im im)) (* im (* im im))))) (log (+ (* re (* re (* re re))) (* (* im im) (* (+ im re) (- im re)))))) (+.f64 (fma.f64 (neg.f64 (log.f64 im)) #s(literal -6 binary64) (/.f64 #s(literal 0 binary64) (.f64 im (.f64 im im)))) (fma.f64 (log.f64 im) #s(literal -4 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (.f64 re re) #s(literal -2 binary64) #s(literal 0 binary64)) (.f64 im im)) #s(literal 0 binary64))))))) (log.f64 base)))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 (fma.f64 re (.f64 re (.f64 re (.f64 re (.f64 re re)))) (.f64 (.f64 im (.f64 im im)) (.f64 im (.f64 im im))))) (log.f64 (fma.f64 re (.f64 re (.f64 re re)) (.f64 (.f64 im im) (*.f64 (+.f64 im re) (-.f64 im re))))))) (log.f64 base)))
(.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 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(exp.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) (log.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (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 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (.f64 #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 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 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 12 binary64)) (pow.f64 (log.f64 base) #s(literal 10 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(approx ( (* 1/2 (log (+ (* re re) (* im im)))) (log base)) (*.f64 (log.f64 base) (log.f64 im)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 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 (pow.f64 (log.f64 base) #s(literal 10 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) #s(literal 3 binary64)) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base)) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (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(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))

Calls

5 calls:

21.0ms	im
20.0ms	(log.f64 base)
19.0ms	base
17.0ms	(/.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))))
17.0ms	re

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)

regimes115.0ms (0.7%)

Memory

-35.9MiB live, 85.0MiB allocated

Counts

44 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

33.0ms	base
24.0ms	re
12.0ms	(log.f64 base)
11.0ms	im
11.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
98.8%	1	`re`
98.8%	1	`im`
98.8%	1	`base`
98.8%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
98.8%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes14.0ms (0.1%)

Memory

30.0MiB live, 30.0MiB allocated

Accuracy

Total -29.0b remaining (-3799.7%)

Threshold costs -29b (-3799.7%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	re
3.0ms	(log.f64 base)
3.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
3.0ms	im
3.0ms	base

Results

Accuracy	Segments	Branch
98.8%	1	`base`
98.8%	1	`(log.f64 base)`
98.8%	1	`re`
98.8%	1	`im`
98.8%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`

Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify7.0ms (0%)

Memory

-24.1MiB live, 13.8MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	88
1	40	88

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness623.0ms (3.8%)

Memory

6.9MiB live, 562.4MiB allocated

Rules

12 210×	`lower-fma.f64`
12 210×	`lower-fma.f32`
8 402×	`lower-fma.f64`
8 402×	`lower-fma.f32`
7 724×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	780	9830
1	2231	9637
2	7560	9622
0	8033	9056
0	299	2912
1	840	2860
2	2644	2828
3	6337	2818
0	8102	2516
0	67	389
0	112	304
1	329	191
2	2144	166
0	8378	165
0	50	192
0	78	165
1	198	135
2	1084	110
0	8374	110
0	18	75
0	34	61
1	99	55
2	688	55
3	6199	55
0	8222	35

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

Compiler

Compiled 189 to 90 computations (52.4% saved)

preprocess52.0ms (0.3%)

Memory

-1.6MiB live, 113.4MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 238 to 146 computations (38.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze286.0ms (1.8%)

sample2.0s (12.1%)

explain280.0ms (1.7%)

preprocess254.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify216.0ms (1.3%)

localize55.0ms (0.3%)

series151.0ms (0.9%)

simplify383.0ms (2.4%)

rewrite535.0ms (3.3%)

eval286.0ms (1.8%)

prune278.0ms (1.7%)

simplify311.0ms (1.9%)

localize226.0ms (1.4%)

series188.0ms (1.2%)

simplify399.0ms (2.5%)

rewrite1.2s (7.6%)

eval2.1s (12.8%)

prune1.1s (6.6%)

simplify179.0ms (1.1%)

localize212.0ms (1.3%)

series310.0ms (1.9%)

simplify333.0ms (2%)

rewrite338.0ms (2.1%)

eval280.0ms (1.7%)

prune409.0ms (2.5%)

simplify326.0ms (2%)

localize232.0ms (1.4%)

series80.0ms (0.5%)

simplify367.0ms (2.3%)

rewrite491.0ms (3%)

eval879.0ms (5.4%)

prune698.0ms (4.3%)

regimes98.0ms (0.6%)

regimes115.0ms (0.7%)

regimes14.0ms (0.1%)

simplify7.0ms (0%)

soundness623.0ms (3.8%)

preprocess52.0ms (0.3%)

end0.0ms (0%)

Profiling