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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze221.0ms (0.8%)

Memory

-3.8MiB live, 268.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 30 to 17 computations (43.3% saved)

sample1.5s (5.4%)

Memory

13.0MiB live, 2 385.0MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 896.0ms

ival-log: 277.0ms (30.9% of total)

ival-mult: 159.0ms (17.7% of total)

ival-hypot: 156.0ms (17.4% of total)

ival-atan2: 122.0ms (13.6% of total)

ival-add: 116.0ms (12.9% of total)

ival-div: 51.0ms (5.7% of total)

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

exact: 5.0ms (0.6% of total)

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

Bogosity

preprocess444.0ms (1.7%)

Memory

14.7MiB live, 286.4MiB 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)

explain338.0ms (1.3%)

Memory

-10.3MiB live, 311.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
120	-	1	(1.6752500202135338e-305 3.084822757184372e-156 1.4021312873840027e+60)	`(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	108	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	108
↳	`(*.f64 re re)`	overflow	17
↳	`(*.f64 im im)`	overflow	108
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	11	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	11
↳	`(*.f64 re re)`	underflow	97
↳	`(*.f64 im im)`	underflow	11

Confusion

	Predicted +	Predicted -
+	119	0
-	0	137

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	0	0	137

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	137
1	119

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

105.0ms

512×

valid

Compiler

Compiled 304 to 76 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 36.0ms (43.8% of total)

ival-hypot: 12.0ms (14.6% of total)

ival-atan2: 12.0ms (14.6% of total)

ival-log: 12.0ms (14.6% of total)

ival-add: 6.0ms (7.3% of total)

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

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

54.6%

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

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify314.0ms (1.2%)

Memory

30.7MiB live, 266.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	99
1	43	93
2	48	93
3	58	89
4	67	87
5	68	87
6	121	87
7	325	87
8	1198	87
9	1934	87
10	2395	87
11	2701	87
12	3169	87
13	3904	87
14	4909	87
15	6035	87
16	6376	87
17	6583	87
18	6778	87
19	6985	87
0	8478	61

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (0.3%)

Memory

-7.4MiB live, 70.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	accuracy	99.4%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.3%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	56.6%	(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-mult: 7.0ms (29.8% of total)

ival-log: 6.0ms (25.5% of total)

ival-hypot: 4.0ms (17% of total)

ival-add: 3.0ms (12.8% of total)

ival-atan2: 2.0ms (8.5% of total)

ival-div: 1.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series411.0ms (1.5%)

Memory

-11.1MiB live, 405.0MiB allocated

Counts

7 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
92.0ms	base	@	0	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
38.0ms	base	@	-inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
37.0ms	base	@	-inf	(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))
35.0ms	base	@	0	(* (log (sqrt (+ (* re re) (* im im)))) (log base))
34.0ms	re	@	inf	(+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0))

simplify665.0ms (2.5%)

Memory

-2.0MiB live, 385.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

Calls

Call 1

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

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

rewrite596.0ms (2.2%)

Memory

0.6MiB live, 599.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

7 → 1 492

Calls

Call 1

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

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

eval220.0ms (0.8%)

Memory: 11.6MiB live, 435.1MiB allocated
Compiler: Compiled 69 932 to 3 239 computations (95.4% saved)

prune330.0ms (1.2%)

Memory

4.8MiB live, 652.7MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	1 635	21	1 656
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 636	21	1 657

Accuracy

99.8%

Counts

1 657 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.5%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
▶	54.5%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
▶	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (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))))
	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	54.5%	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.3%	(/.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))))
	54.5%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
	52.9%	(.f64 (pow.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
	54.5%	(.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
▶	54.5%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
	54.5%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
	54.5%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	54.5%	(.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)))) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
	54.5%	(.f64 (/.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	54.5%	(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
	54.5%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))))
	54.5%	(.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))))
▶	54.6%	(.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))))
	14.0%	(exp.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) (log.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))) #s(literal -1 binary64)))
	54.7%	#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)))
▶	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

Compiler

Compiled 934 to 596 computations (36.2% saved)

simplify274.0ms (1%)

Memory

-23.3MiB live, 272.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	cost-diff	6720	(.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
✓	cost-diff	19264	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
✓	cost-diff	13440	(/.f64 (log.f64 base) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	384	(/.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)))
✓	cost-diff	12800	(.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))))
✓	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	5120	(hypot.f64 (exp.f64 (log.f64 im)) re)
✓	cost-diff	6784	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
✓	cost-diff	12800	(exp.f64 (log.f64 im))
✓	cost-diff	13184	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (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

5 172×	`lower-*.f32`
5 154×	`lower-*.f64`
2 614×	`cube-prod`
2 134×	`lower-fma.f32`
2 132×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	364
0	85	316
1	124	308
2	225	278
3	689	274
4	1955	274
5	3315	274
6	3715	274
7	3810	274
8	3996	274
9	4193	274
10	4457	274
11	6060	274
12	6516	274
13	6977	274
14	7173	274
15	7270	274
16	7328	274
17	7354	274
18	7385	274
19	7736	274
0	8115	274

Stop Event

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

Calls

Call 1

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

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

localize162.0ms (0.6%)

Memory

38.6MiB live, 351.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
✓	accuracy	99.3%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	accuracy	98.6%	(pow.f64 (log.f64 base) #s(literal -4 binary64))
✓	accuracy	55.0%	(log.f64 (fma.f64 re re (*.f64 im im)))
✓	accuracy	99.4%	(/.f64 (log.f64 base) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
✓	accuracy	99.4%	(.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
✓	accuracy	55.0%	(log.f64 (fma.f64 re re (*.f64 im im)))
✓	accuracy	99.4%	(.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))))
✓	accuracy	99.4%	(/.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)))
✓	accuracy	99.3%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	accuracy	55.0%	(log.f64 (fma.f64 re re (*.f64 im im)))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.4%	(/.f64 (log.f64 im) (log.f64 base))
✓	accuracy	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
✓	accuracy	99.4%	(*.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base))
✓	accuracy	99.4%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.3%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	90.8%	(exp.f64 (log.f64 im))

Samples

102.0ms

256×

valid

Compiler

Compiled 419 to 45 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 18.0ms (25.3% of total)

ival-log: 15.0ms (21.1% of total)

ival-div: 10.0ms (14.1% of total)

ival-hypot: 10.0ms (14.1% of total)

ival-add: 4.0ms (5.6% of total)

ival-pow: 4.0ms (5.6% of total)

ival-exp: 3.0ms (4.2% of total)

ival-pow2: 3.0ms (4.2% of total)

ival-atan2: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

series945.0ms (3.5%)

Memory

-6.9MiB live, 2 135.0MiB allocated

Counts

22 → 564

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
45.0ms	base	@	0	(* (* (log base) 1/2) (log (+ (* re re) (* im im))))
42.0ms	base	@	0	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
42.0ms	im	@	0	(/ (log im) (log base))
38.0ms	base	@	-inf	(* (log (sqrt (+ (* (exp (log im)) (exp (log im))) (* re re)))) (log base))
32.0ms	base	@	inf	(/ (log im) (log base))

simplify501.0ms (1.9%)

Memory

19.3MiB live, 693.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
6 288×	`lower-*.f64`
6 288×	`lower-*.f32`
4 280×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	903	10980
1	2506	10670
2	7932	10670
0	8042	10006

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 548

Calls

Call 1

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

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

rewrite571.0ms (2.1%)

Memory

6.5MiB live, 1 045.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 666×	`lower-fma.f32`
5 664×	`lower-fma.f64`
4 818×	`lower-*.f32`
4 802×	`lower-*.f64`
2 632×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	235
0	85	177
1	259	147
2	1374	109
0	9256	108

Stop Event

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

Counts

22 → 4 150

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(+.f64 (.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 0 binary64))
(+.f64 (.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(+.f64 (.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)) (.f64 (log1p.f64 (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)) (.f64 (log1p.f64 (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(+.f64 (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)) (.f64 (log1p.f64 (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (.f64 (log1p.f64 (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (log.f64 base) #s(literal 2 binary64)) (log1p.f64 (*.f64 re re)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))))
(-.f64 (.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 0 binary64))
(-.f64 (.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))) (/.f64 #s(literal 0 binary64) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (log1p.f64 (*.f64 re re)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (log1p.f64 (.f64 re re)))) (neg.f64 (.f64 (log1p.f64 (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)))))
(fma.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (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 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (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) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base))))
(fma.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log1p.f64 (*.f64 re re)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log1p.f64 (.f64 re re)) (log.f64 base)) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log1p.f64 (.f64 re re)) (log.f64 base)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log1p.f64 (.f64 re re)) (log.f64 base)) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (log1p.f64 (.f64 re re)) (log.f64 base)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (.f64 (log1p.f64 (*.f64 re re)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (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 #s(literal 1/2 binary64) (.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) (log1p.f64 (*.f64 re re))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) (log1p.f64 (.f64 re re))) (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 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) (log1p.f64 (.f64 re re))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) (log1p.f64 (.f64 re re))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) (log1p.f64 (.f64 re re))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (*.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 base) (.f64 (log1p.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (log1p.f64 (*.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (log1p.f64 (.f64 re re)) (/.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (log1p.f64 (.f64 re re)) (.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (log1p.f64 (.f64 re re)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (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 (log1p.f64 (.f64 re re)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (log1p.f64 (.f64 re re)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (log1p.f64 (.f64 re re)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(fma.f64 (log1p.f64 (.f64 re re)) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (log1p.f64 (.f64 re re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64)))
(fma.f64 (log1p.f64 (.f64 re re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(fma.f64 (log1p.f64 (.f64 re re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64)))
(fma.f64 (log1p.f64 (.f64 re re)) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (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 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) #s(literal 3/2 binary64)) (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (*.f64 re re)))) #s(literal -2 binary64))))
(.f64 (sqrt.f64 (log.f64 base)) (.f64 (sqrt.f64 (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))))
(.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 base) #s(literal 2 binary64)) (log1p.f64 (*.f64 re re))))
(.f64 (neg.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (*.f64 re re)))) #s(literal 2 binary64)))))
(.f64 (.f64 (log.f64 base) (log1p.f64 (*.f64 re re))) #s(literal 1/2 binary64))
(.f64 (.f64 (log1p.f64 (*.f64 re re)) (log.f64 base)) #s(literal 1/2 binary64))
(.f64 (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 re re))))
(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 1/2 binary64)) (.f64 (log1p.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log1p.f64 (.f64 re re))) (.f64 (*.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (.f64 (log1p.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (/.f64 #s(literal -1 binary64) (.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal -1/2 binary64))))))
(.f64 (.f64 (.f64 (log.f64 base) (log1p.f64 (.f64 re re))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(.f64 (neg.f64 (.f64 (log.f64 base) #s(literal -1/2 binary64))) (log1p.f64 (*.f64 re re)))
(.f64 (.f64 (.f64 (log1p.f64 (.f64 re re)) (*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (log.f64 base))
(.f64 (.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (log1p.f64 (*.f64 re re))) #s(literal 1 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(.f64 (.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (log1p.f64 (*.f64 re re))) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(.f64 (.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (log1p.f64 (*.f64 re re))) (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 4 binary64)) (log.f64 base)) (.f64 (log1p.f64 (.f64 re re)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 base) (.f64 (log1p.f64 (*.f64 re re)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log1p.f64 (.f64 re re))) (.f64 (log.f64 base) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (.f64 (log1p.f64 (*.f64 re re)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (log1p.f64 (*.f64 re re)))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (log1p.f64 (.f64 re re)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (*.f64 (log.f64 base) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) #s(literal 1/2 binary64))) (log1p.f64 (.f64 re re)))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(exp.f64 (*.f64 #s(literal -4 binary64) (log.f64 (log.f64 base))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log.f64 base))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -2 binary64) (log.f64 (log.f64 base))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)) (*.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))
(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(/.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (log.f64 base))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (neg.f64 (log.f64 base)))
(/.f64 (*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(pow.f64 (log.f64 base) #s(literal -4 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (log.f64 (log.f64 base)))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(*.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
(*.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -4 binary64)) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal -4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (pow.f64 (log.f64 base) #s(literal 8 binary64)))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 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 -2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))

eval1.2s (4.6%)

Memory: -36.5MiB live, 1 565.9MiB allocated
Compiler: Compiled 136 791 to 7 100 computations (94.8% saved)

prune520.0ms (1.9%)

Memory

-11.5MiB live, 1 091.9MiB allocated

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	5 490	22	5 512
Fresh	8	8	16
Picked	3	2	5
Done	0	0	0
Total	5 501	32	5 533

Accuracy

100.0%

Counts

5 533 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.5%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
	26.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) #s(approx (* (* (log base) 1/2) (log (+ (* re re) (* im im)))) (*.f64 (log.f64 base) (log.f64 im)))))
	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (/ (log base) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	99.0%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 base))) (neg.f64 (log.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (log.f64 base) (/.f64 #s(literal 1 binary64) (log.f64 base))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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 (exp.f64 (log.f64 im)) re)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (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 (exp.f64 (log.f64 im)) re)) (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))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.0%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (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))))
	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	54.5%	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.3%	(/.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))))
	54.5%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
	98.2%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(approx (* (* (log base) 1/2) (log (+ (* re re) (* im im)))) (*.f64 (log.f64 base) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
	98.2%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx ( (* (* (log base) 1/2) (log (+ (* re re) (* im im)))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
	54.5%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
	54.5%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	54.5%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))))
✓	54.6%	(.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))))
	54.5%	(.f64 (log.f64 base) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
▶	98.3%	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	54.7%	#s(approx (/ (/ 1 (log base)) (/ (log base) (* (* (log base) 1/2) (log (+ (* re re) (* im im)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 re re (.f64 im im))) (log.f64 base))))
	49.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))))
✓	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	49.3%	#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)))))
▶	3.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 0 binary64))

Compiler

Compiled 1 349 to 883 computations (34.5% saved)

simplify402.0ms (1.5%)

Memory

16.9MiB live, 528.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	5120	(hypot.f64 (exp.f64 (log.f64 im)) re)
✓	cost-diff	6784	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
✓	cost-diff	12800	(exp.f64 (log.f64 im))
✓	cost-diff	13184	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
✓	cost-diff	13568	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
✓	cost-diff	0	#s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	384	(/.f64 #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	cost-diff	12800	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 0 binary64))
✓	cost-diff	320	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
✓	cost-diff	384	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (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))))
✓	cost-diff	5120	(hypot.f64 (exp.f64 (log.f64 im)) re)
✓	cost-diff	12800	(exp.f64 (log.f64 im))

Rules

13 166×	`lower-fma.f32`
13 164×	`lower-fma.f64`
3 914×	`lower-*.f32`
3 902×	`lower-*.f64`
2 374×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	357
0	91	279
1	129	271
2	172	259
3	292	253
4	442	251
5	756	251
6	2450	251
7	3406	251
8	3474	251
9	3568	251
10	3716	251
11	3915	251
12	5771	251
13	7781	251
0	8048	249

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (0.6%)

Memory

-50.7MiB live, 331.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(*.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base))
✓	accuracy	99.4%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.2%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	90.8%	(exp.f64 (log.f64 im))
✓	accuracy	99.4%	(.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
✓	accuracy	99.4%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
✓	accuracy	99.2%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	55.0%	(log.f64 (fma.f64 re re (*.f64 im im)))
✓	accuracy	99.4%	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	accuracy	99.3%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	accuracy	99.1%	#s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))
✓	accuracy	98.5%	(/.f64 #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	accuracy	100.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 0 binary64))
✓	accuracy	99.4%	(*.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base))
✓	accuracy	99.4%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (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	99.3%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	90.8%	(exp.f64 (log.f64 im))

Samples

118.0ms

256×

valid

Compiler

Compiled 435 to 44 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-div: 28.0ms (30.1% of total)

ival-log: 17.0ms (18.3% of total)

ival-add: 15.0ms (16.1% of total)

ival-mult: 13.0ms (14% of total)

ival-hypot: 8.0ms (8.6% of total)

ival-exp: 3.0ms (3.2% of total)

ival-pow: 3.0ms (3.2% of total)

ival-atan2: 2.0ms (2.2% of total)

ival-pow2: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series912.0ms (3.4%)

Memory

16.3MiB live, 1 326.5MiB allocated

Counts

19 → 480

Calls

Call 1

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

Outputs
#<alt im>
#<alt im>
#<alt im>
#<alt im>
#<alt im>
#<alt im>
#<alt im>
#<alt im>
#<alt im>
#<alt im>
#<alt im>
#<alt im>
#<alt re>
#<alt (+ re (* 1/2 (/ (pow im 2) re)))>
#<alt (+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))>
#<alt (+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))>
#<alt im>
#<alt (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 im)>
#<alt (* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))>
#<alt (* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))>
#<alt im>
#<alt (+ im (* 1/2 (/ (pow re 2) im)))>
#<alt (+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))>
#<alt (+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))>
#<alt re>
#<alt (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 re)>
#<alt (* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))>
#<alt (* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))>
#<alt (/ (log re) (log base))>
#<alt (+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
#<alt (+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))>
#<alt (* -1 (/ (log (/ -1 im)) (log base)))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))>
#<alt (+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))>
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#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log base) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (log (/ 1 base)) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)>
#<alt (log (pow im 2))>
#<alt (+ (log (pow im 2)) (/ (pow re 2) (pow im 2)))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* -1/2 (/ (pow re 2) (pow im 4))) (/ 1 (pow im 2)))))>
#<alt (+ (log (pow im 2)) (* (pow re 2) (+ (* (pow re 2) (- (* 1/3 (/ (pow re 2) (pow im 6))) (* 1/2 (/ 1 (pow im 4))))) (/ 1 (pow im 2)))))>
#<alt (* -2 (log (/ 1 re)))>
#<alt (+ (* -2 (log (/ 1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ 1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (* -2 (log (/ -1 re)))>
#<alt (+ (* -2 (log (/ -1 re))) (/ (pow im 2) (pow re 2)))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (/ (pow im 2) (pow re 2))))>
#<alt (+ (* -2 (log (/ -1 re))) (+ (* -1/2 (/ (pow im 4) (pow re 4))) (+ (* 1/3 (/ (pow im 6) (pow re 6))) (/ (pow im 2) (pow re 2)))))>
#<alt (log (pow re 2))>
#<alt (+ (log (pow re 2)) (/ (pow im 2) (pow re 2)))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* -1/2 (/ (pow im 2) (pow re 4))) (/ 1 (pow re 2)))))>
#<alt (+ (log (pow re 2)) (* (pow im 2) (+ (* (pow im 2) (- (* 1/3 (/ (pow im 2) (pow re 6))) (* 1/2 (/ 1 (pow re 4))))) (/ 1 (pow re 2)))))>
#<alt (* -2 (log (/ 1 im)))>
#<alt (+ (* -2 (log (/ 1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ 1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (* -2 (log (/ -1 im)))>
#<alt (+ (* -2 (log (/ -1 im))) (/ (pow re 2) (pow im 2)))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (/ (pow re 2) (pow im 2))))>
#<alt (+ (* -2 (log (/ -1 im))) (+ (* -1/2 (/ (pow re 4) (pow im 4))) (+ (* 1/3 (/ (pow re 6) (pow im 6))) (/ (pow re 2) (pow im 2)))))>
#<alt (* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2)))))>
#<alt (* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2)))))>
#<alt (* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2)))))>
#<alt (* 1/2 (* (log base) (log (+ (pow im 2) (pow re 2)))))>
#<alt (* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* -1/2 (* (log (+ (pow im 2) (pow re 2))) (log (/ 1 base))))>
#<alt (* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (* (log (+ (pow im 2) (pow re 2))) (+ (log -1) (* -1 (log (/ -1 base))))))>
#<alt (* 1/2 (* (log base) (log (pow im 2))))>
#<alt (+ (* 1/2 (* (log base) (log (pow im 2)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))))>
#<alt (* -1 (* (log base) (log (/ 1 re))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))>
#<alt (+ (* -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))))))>
#<alt (* -1 (* (log base) (log (/ -1 re))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))>
#<alt (+ (* -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))))))>
#<alt (* 1/2 (* (log base) (log (pow re 2))))>
#<alt (+ (* 1/2 (* (log base) (log (pow re 2)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))))>
#<alt (* -1 (* (log base) (log (/ 1 im))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))>
#<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)))))>
#<alt (+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (log base)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))>
#<alt (* -1 (* (log base) (log (/ -1 im))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))>
#<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)))))>
#<alt (+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/6 (/ (* (pow re 6) (log base)) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))>

Calls

120 calls:

Time	Variable		Point	Expression
108.0ms	base	@	inf	(* (* (log base) 1/2) (log (+ (* re re) (* im im))))
58.0ms	base	@	inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
48.0ms	base	@	inf	(* (log base) (/ (* 1/2 (log (+ (* re re) (* im im)))) (pow (log base) 2)))
43.0ms	base	@	-inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
42.0ms	base	@	-inf	(/ (+ (* (log (sqrt (+ (* (exp (log im)) (exp (log im))) (* re re)))) (log base)) (* (atan2 im re) 0)) (+ (/ 1 (pow (log base) -2)) (* 0 0)))

simplify404.0ms (1.5%)

Memory

17.0MiB live, 767.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 300×	`lower-fma.f64`
9 300×	`lower-fma.f32`
6 030×	`lower-*.f64`
6 030×	`lower-*.f32`
3 738×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	817	9966
1	2335	9720
2	7676	9706
0	8045	9046

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 464

Calls

Call 1

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

rewrite552.0ms (2.1%)

Memory

-12.4MiB live, 933.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 114×	`lower-fma.f32`
9 112×	`lower-fma.f64`
4 528×	`lower-*.f32`
4 518×	`lower-*.f64`
2 766×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	215
0	91	164
1	276	138
2	1543	122
0	9528	120

Stop Event

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

Counts

19 → 2 181

Calls

Call 1

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

Outputs
im
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(pow.f64 im #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 1/2 binary64)) (pow.f64 im #s(literal 1/2 binary64)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))))
(hypot.f64 im re)
(sqrt.f64 (fma.f64 re re #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re re)))) (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (*.f64 re re)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (.f64 re re) (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (*.f64 re re)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 re re #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re re))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (*.f64 re re)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 re re) (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 re re #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re re))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (*.f64 re re))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 re re) (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (neg.f64 re) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 re (neg.f64 re) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (*.f64 re re))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 re re) (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 re re) (.f64 re re) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 re re #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)))))
(pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 re re)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 re re))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64))) #s(literal 1/4 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re re)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re re))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 re re) (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re re))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 re re) (fma.f64 re re #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 re re) (*.f64 re re) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 re re) (*.f64 re re) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 re re) (*.f64 re re) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 re re #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re re)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)))))
(*.f64 (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(+.f64 (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/2 binary64)) (log1p.f64 (.f64 re re))) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))
(+.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/2 binary64)) (log1p.f64 (.f64 re re))) (.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/2 binary64)) (log1p.f64 (*.f64 re re))))
(+.f64 (.f64 (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64)) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(+.f64 (.f64 #s(approx ( (atan2 im re) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 1/2 binary64)) (log1p.f64 (*.f64 re re))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))) (.f64 #s(literal 0 binary64) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) #s(literal 2 binary64)) (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) (neg.f64 #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.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 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) (neg.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) (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))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) (neg.f64 #s(approx ( (atan2 im re) 0) #s(literal 0 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(approx (* (atan2 im re) 0) #s(literal 0 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
(fma.f64 #s(literal 0 binary64) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -6 binary64)))))
(fma.f64 #s(literal 0 binary64) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (fma.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal 1/2 binary64)) #s(approx (* (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
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(.f64 (pow.f64 (.f64 (log.f64 base) (log1p.f64 (*.f64 re re))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (log1p.f64 (.f64 re re)) #s(literal 1 binary64)) (*.f64 (log.f64 base) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re))) (log.f64 base)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (log1p.f64 (*.f64 re re)) (log.f64 base)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 (.f64 re re))) #s(literal -1 binary64)) (*.f64 (log.f64 base) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re))) (log.f64 base)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re))) (log.f64 base))) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (.f64 (log.f64 base) #s(literal -1/2 binary64))) (log1p.f64 (*.f64 re re)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re))) (log.f64 base)) #s(literal 1/2 binary64)))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) #s(literal -1/2 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re))) (log.f64 base)) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (neg.f64 (log.f64 base))) (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re))))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (log.f64 base))) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))))
(.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (log1p.f64 (.f64 re re)) (.f64 (log.f64 base) #s(literal -1/2 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
(.f64 (.f64 #s(literal 1 binary64) (log1p.f64 (.f64 re re))) (.f64 (log.f64 base) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (log.f64 base) (log1p.f64 (.f64 re re)))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (log1p.f64 (.f64 re re)) (log.f64 base))) #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal -1 binary64) (.f64 (log.f64 base) #s(literal -1/2 binary64))) (log1p.f64 (.f64 re re)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 (.f64 re re)))) (.f64 (log.f64 base) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re)))))
(.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (log.f64 base))) (/.f64 #s(literal 1 binary64) (log1p.f64 (.f64 re re))))
(.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log1p.f64 (.f64 re re)))) (/.f64 #s(literal 2 binary64) (log.f64 base)))
(.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) #s(literal -1/2 binary64))) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re))) (log.f64 base)) #s(literal -1/2 binary64)))

eval579.0ms (2.2%)

Memory: 37.3MiB live, 1 083.0MiB allocated
Compiler: Compiled 92 592 to 6 217 computations (93.3% saved)

prune1.0s (3.8%)

Memory

-45.2MiB live, 1 121.2MiB allocated

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	3 355	19	3 374
Fresh	18	7	25
Picked	3	2	5
Done	0	2	2
Total	3 376	30	3 406

Accuracy

100.0%

Counts

3 406 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (* (log base) 1/2) (log (+ (* re re) (* im im)))) (*.f64 (log.f64 base) (log.f64 im)))))
	54.5%	(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (/ (log base) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
▶	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 im re)) (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))))
	54.5%	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.3%	(/.f64 (.f64 (log.f64 base) #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	98.3%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))))
	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 base)))
	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))))
	98.2%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx ( (* (* (log base) 1/2) (log (+ (* re re) (* im im)))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
	54.5%	(.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))))
	97.9%	(.f64 (.f64 (.f64 (.f64 (log.f64 base) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
	49.6%	(.f64 (.f64 (.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	98.3%	(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)))
	98.2%	(.f64 (.f64 (log.f64 base) (.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -6 binary64)))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.3%	(.f64 (.f64 (log.f64 base) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
✓	54.6%	(.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))))
▶	98.0%	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))))
✓	98.3%	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.1%	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
	98.2%	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
▶	98.4%	(.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	54.7%	#s(approx (/ (pow (log base) -2) (/ 1 (* (* (log base) 1/2) (log (+ (* re re) (* im im)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (.f64 re re))) (log.f64 base))))
	49.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))))
✓	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
▶	49.3%	#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)))))
✓	3.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 0 binary64))

Compiler

Compiled 942 to 616 computations (34.6% saved)

simplify201.0ms (0.8%)

Memory

31.7MiB live, 383.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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 im re)
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	384	(/.f64 #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
✓	cost-diff	704	(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))
✓	cost-diff	12800	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))))
✓	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	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	#s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))
✓	cost-diff	320	(.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	cost-diff	192	(+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64))
✓	cost-diff	256	(*.f64 (log.f64 base) (log.f64 base))
✓	cost-diff	5120	(hypot.f64 (exp.f64 (log.f64 im)) re)
✓	cost-diff	12800	(exp.f64 (log.f64 im))

Rules

6 840×	`lower-fma.f64`
6 840×	`lower-fma.f32`
2 440×	`lower-*.f32`
2 432×	`lower-*.f64`
1 254×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	340
0	81	273
1	108	267
2	125	267
3	166	263
4	199	254
5	267	254
6	375	254
7	638	254
8	1673	254
9	3365	254
10	4591	252
11	5969	252
0	8020	243

Stop Event

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

Calls

Call 1

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

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

localize303.0ms (1.1%)

Memory

-30.1MiB live, 209.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
✓	accuracy	99.7%	(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
✓	accuracy	99.7%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 im re)) (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	99.7%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	99.8%	#s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))
✓	accuracy	99.7%	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))))
✓	accuracy	99.5%	(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))
✓	accuracy	99.5%	(/.f64 #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)))
✓	accuracy	100.0%	(log.f64 (log.f64 base))
✓	accuracy	99.7%	(/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base))))
✓	accuracy	99.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (exp.f64 (log.f64 (log.f64 base)))))
✓	accuracy	99.1%	(exp.f64 (log.f64 (log.f64 base)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.8%	#s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))
✓	accuracy	99.5%	(.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
✓	accuracy	99.7%	(*.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base))
✓	accuracy	99.7%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) #s(literal 0 binary64)))
✓	accuracy	99.7%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	95.4%	(exp.f64 (log.f64 im))

Samples

85.0ms	127×	0	invalid
57.0ms	129×	0	valid

Compiler

Compiled 375 to 46 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-log: 58.0ms (53.3% of total)

ival-mult: 13.0ms (11.9% of total)

ival-hypot: 11.0ms (10.1% of total)

ival-div: 8.0ms (7.4% of total)

ival-add: 6.0ms (5.5% of total)

ival-exp: 6.0ms (5.5% of total)

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

ival-atan2: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series962.0ms (3.6%)

Memory

13.4MiB live, 2 011.8MiB allocated

Counts

24 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
70.0ms	base	@	inf	(log (log base))
51.0ms	base	@	0	(* (log (sqrt (+ (* im im) (* re re)))) (log base))
46.0ms	base	@	-inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
36.0ms	base	@	0	(/ (+ (* (log (sqrt (+ (* im im) (* re re)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
34.0ms	base	@	inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

simplify572.0ms (2.1%)

Memory

-1.0MiB live, 753.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 994×	`lower-fma.f64`
14 994×	`lower-fma.f32`
4 824×	`lower-+.f64`
4 824×	`lower-+.f32`
4 690×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	493	8816
1	1343	8458
2	4051	8422
0	8325	7748

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 508

Calls

Call 1

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

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

rewrite870.0ms (3.3%)

Memory

16.2MiB live, 446.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 398×	`lower-fma.f64`
9 398×	`lower-fma.f32`
5 060×	`lower-*.f32`
5 052×	`lower-*.f64`
3 098×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	238
0	81	174
1	253	146
2	1263	132
0	9465	130

Stop Event

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

Counts

24 → 1 922

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
im
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))))
(hypot.f64 #s(literal 1 binary64) re)
(sqrt.f64 (fma.f64 re re #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re re)))) (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (*.f64 re re)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 re (.f64 re (fma.f64 re re #s(literal -1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (*.f64 re re)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 re re #s(literal -1 binary64))) (sqrt.f64 (fma.f64 re (.f64 re (.f64 re re)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re re))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (*.f64 re re)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 re (*.f64 re (fma.f64 re re #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 re (.f64 re (.f64 re re)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 re re #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re re))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (*.f64 re re))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 re (*.f64 re (fma.f64 re re #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (neg.f64 re) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 re (neg.f64 re) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (*.f64 re re))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 re (*.f64 re (fma.f64 re re #s(literal -1 binary64))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 re (.f64 re (.f64 re re)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 re re #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re)))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re re)))))
(pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 re re)))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 re re))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (fma.f64 re re #s(literal 1 binary64)) (fma.f64 re re #s(literal 1 binary64))) #s(literal 1/4 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re re)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re (fma.f64 re re #s(literal -1 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re re))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re (.f64 re (fma.f64 re re #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 re (.f64 re (.f64 re re)) (-.f64 #s(literal 1 binary64) (.f64 re re))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 re (.f64 re re)) (.f64 re (.f64 re re)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 re (.f64 re (fma.f64 re re #s(literal -1 binary64))) #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 re (.f64 re (*.f64 re re)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 re (.f64 re (*.f64 re re)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 re re #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (fma.f64 re (.f64 re (*.f64 re re)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 re re #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re re))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 re re)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 re (.f64 re (.f64 re re))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 re re)))))
(*.f64 (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 re re #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(+.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (log.f64 base)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))))
(-.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 base) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (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))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) #s(literal 0 binary64))
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(.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (/.f64 (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 3/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))))))
(.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 3/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))))) (/.f64 (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 3/2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))))
(.f64 (/.f64 (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 3/2 binary64)) (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base)))) (/.f64 (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 3/2 binary64)) (.f64 (log1p.f64 (.f64 re re)) (*.f64 #s(literal 1/2 binary64) (log.f64 base)))))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) #s(literal 1 binary64))
(.f64 (/.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (/.f64 (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64))) (log.f64 base)))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64))) (log.f64 base)) (/.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))))
(.f64 (/.f64 (log.f64 base) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64))) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal -2 binary64))))
(.f64 (/.f64 (log.f64 base) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 2 binary64))) (/.f64 (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))))))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re)))))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re)))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re))) #s(literal 2 binary64)) (log.f64 base)))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re)))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (/.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (log.f64 base)))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (log.f64 base)))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (log.f64 base)) (/.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (/.f64 #s(literal 1 binary64) (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))))))
(.f64 (/.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (*.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal -2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (*.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal -2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64)) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 re re))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 2 binary64))) (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64))) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 3 binary64))) (/.f64 (log.f64 base) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal -2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 base) (pow.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 2 binary64))) (pow.f64 (.f64 (log1p.f64 (.f64 re re)) (.f64 #s(literal 1/2 binary64) (log.f64 base))) #s(literal 2 binary64))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re)))))
(.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log1p.f64 (*.f64 re re)))
(.f64 (.f64 (log.f64 base) (log1p.f64 (*.f64 re re))) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) #s(literal 1 binary64)) (log.f64 base))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 re re))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))
#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))

eval754.0ms (2.8%)

Memory: 25.8MiB live, 434.6MiB allocated
Compiler: Compiled 84 411 to 4 614 computations (94.5% saved)

prune817.0ms (3.1%)

Memory

-14.7MiB live, 444.4MiB allocated

Pruning

32 alts after pruning (25 fresh and 7 done)

	Pruned	Kept	Total
New	3 009	8	3 017
Fresh	4	17	21
Picked	2	3	5
Done	0	4	4
Total	3 015	32	3 047

Accuracy

100.0%

Counts

3 047 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (* (* (log base) 1/2) (log (+ (* re re) (* im im)))) (*.f64 (log.f64 base) (log.f64 im)))))
	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(approx (/ (log base) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 #s(literal 1 binary64) (log.f64 im))))
	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	54.5%	(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (*.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
	98.3%	(/.f64 (.f64 (log.f64 base) #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	98.3%	(/.f64 (log.f64 base) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))))
	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))) (log.f64 base)))
	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))))
	98.2%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx ( (* (* (log base) 1/2) (log (+ (* re re) (* im im)))) (pow (log base) -4)) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
	49.6%	(.f64 (.f64 (.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base)))
	98.3%	(.f64 (.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -2 binary64))) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)))
	98.3%	(.f64 (.f64 (log.f64 base) #s(approx (* 1/2 (log (+ (* re re) (* im im)))) (log.f64 im))) (pow.f64 (log.f64 base) #s(literal -2 binary64)))
✓	54.6%	(.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))))
✓	98.0%	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64))))
✓	98.3%	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	98.1%	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
	98.2%	(.f64 (log.f64 base) (/.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
	54.0%	(.f64 (log.f64 base) #s(approx (/ ( 1/2 (log (+ (* re re) (* im im)))) (pow (/ 1 (log base)) -2)) (.f64 (log.f64 (.f64 im im)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 base) #s(literal 2 binary64))))))
	50.6%	(.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
	49.7%	(.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
	49.3%	(.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 base))))
✓	98.4%	(.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))
	98.2%	(.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (*.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
	49.3%	(.f64 #s(approx ( 1/2 (log (+ (* re re) (* im im)))) (log.f64 im)) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
	54.7%	#s(approx (/ (pow (log base) -2) (/ 1 (* (* (log base) 1/2) (log (+ (* re re) (* im im)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (fma.f64 im im (.f64 re re))) (log.f64 base))))
	49.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) base)))))
✓	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
✓	49.3%	#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)))))
✓	3.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) #s(literal 0 binary64))

Compiler

Compiled 1 719 to 552 computations (67.9% saved)

regimes269.0ms (1%)

Memory

19.7MiB live, 175.9MiB allocated

Counts

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

Outputs
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 (exp.f64 (log.f64 im)) re)) (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:

67.0ms	base
65.0ms	re
65.0ms	(/.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))))
49.0ms	(log.f64 base)
19.0ms	im

Results

Accuracy	Segments	Branch
99.2%	1	`re`
99.2%	1	`im`
99.2%	1	`base`
99.2%	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))))`
99.2%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes7.2s (27.1%)

Memory

-40.9MiB live, 100.4MiB allocated

Counts

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

Outputs
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 im re)) (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:

3.6s	re
53.0ms	(log.f64 base)
16.0ms	base
15.0ms	im
15.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
99.2%	1	`re`
99.2%	1	`im`
99.2%	1	`base`
99.2%	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))))`
99.2%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes157.0ms (0.6%)

Memory

33.9MiB live, 151.4MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

69.0ms	im
51.0ms	(/.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))))
12.0ms	re
11.0ms	(log.f64 base)
11.0ms	base

Results

Accuracy	Segments	Branch
98.5%	1	`re`
98.5%	1	`im`
98.5%	1	`base`
98.5%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
98.5%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes20.0ms (0.1%)

Memory

-25.4MiB live, 55.6MiB allocated

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

6.0ms	(log.f64 base)
4.0ms	re
3.0ms	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

Results

Accuracy	Segments	Branch
98.5%	1	`re`
98.5%	1	`im`
98.5%	1	`base`
98.5%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
98.5%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

regimes8.0ms (0%)

Memory

-1.7MiB live, 37.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 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))) #s(literal 0 binary64))

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

Calls

5 calls:

2.0ms	im
1.0ms	(log.f64 base)
1.0ms	(/.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))))
1.0ms	base
1.0ms	re

Results

Accuracy	Segments	Branch
3.1%	1	`re`
3.1%	1	`im`
3.1%	1	`base`
3.1%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
3.1%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify6.0ms (0%)

Memory

25.5MiB live, 25.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	138
1	49	138

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (4.2%)

Memory

-20.9MiB live, 970.6MiB allocated

Rules

12 210×	`lower-fma.f64`
12 210×	`lower-fma.f32`
11 472×	`lower-fma.f64`
11 472×	`lower-fma.f32`
9 398×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	903	10980
1	2506	10670
2	7932	10670
0	8042	10006
0	52	235
0	85	177
1	259	147
2	1374	109
0	9256	108
0	299	2912
1	840	2860
2	2644	2828
3	6337	2818
0	8102	2516
0	51	238
0	81	174
1	253	146
2	1263	132
0	9465	130
0	18	75
0	34	61
1	99	55
2	688	55
3	6199	55
0	8222	35
0	55	215
0	91	164
1	276	138
2	1543	122
0	9528	120

Stop Event

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

Compiler

Compiled 448 to 201 computations (55.1% saved)

preprocess77.0ms (0.3%)

Memory

24.2MiB live, 181.2MiB allocated

Remove

(sort re im)

(abs re)

Compiler

Compiled 488 to 310 computations (36.5% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze221.0ms (0.8%)

sample1.5s (5.4%)

preprocess444.0ms (1.7%)

explain338.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify314.0ms (1.2%)

localize87.0ms (0.3%)

series411.0ms (1.5%)

simplify665.0ms (2.5%)

rewrite596.0ms (2.2%)

eval220.0ms (0.8%)

prune330.0ms (1.2%)

simplify274.0ms (1%)

localize162.0ms (0.6%)

series945.0ms (3.5%)

simplify501.0ms (1.9%)

rewrite571.0ms (2.1%)

eval1.2s (4.6%)

prune520.0ms (1.9%)

simplify402.0ms (1.5%)

localize173.0ms (0.6%)

series912.0ms (3.4%)

simplify404.0ms (1.5%)

rewrite552.0ms (2.1%)

eval579.0ms (2.2%)

prune1.0s (3.8%)

simplify201.0ms (0.8%)

localize303.0ms (1.1%)

series962.0ms (3.6%)

simplify572.0ms (2.1%)

rewrite870.0ms (3.3%)

eval754.0ms (2.8%)

prune817.0ms (3.1%)

regimes269.0ms (1%)

regimes7.2s (27.1%)

regimes157.0ms (0.6%)

regimes20.0ms (0.1%)

regimes8.0ms (0%)

simplify6.0ms (0%)

soundness1.1s (4.2%)

preprocess77.0ms (0.3%)

end0.0ms (0%)

Profiling