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

analyze188.0ms (0.8%)

Memory

23.6MiB live, 350.3MiB 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)

sample1.6s (6.9%)

Memory

24.8MiB live, 2 147.8MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 805.0ms

ival-log: 219.0ms (27.2% of total)

ival-hypot: 200.0ms (24.8% of total)

ival-mult: 170.0ms (21.1% of total)

ival-add: 91.0ms (11.3% of total)

ival-atan2: 61.0ms (7.6% of total)

ival-div: 50.0ms (6.2% of total)

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

exact: 5.0ms (0.6% of total)

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

Bogosity

preprocess423.0ms (1.9%)

Memory

-2.6MiB live, 276.2MiB 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)

explain528.0ms (2.3%)

Memory

-10.6MiB live, 389.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
124	-	2	(5.416423224894341e-275 1.4246164802729875e-158 1.2210649626754284e-135)	`(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	114	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	114
↳	`(*.f64 re re)`	overflow	13
↳	`(*.f64 im im)`	overflow	114
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	8	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	8
↳	`(*.f64 re re)`	underflow	111
↳	`(*.f64 im im)`	underflow	8

Confusion

	Predicted +	Predicted -
+	122	2
-	0	132

Precision

1.0

Recall

0.9838709677419355

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	2
-	0	0	132

Precision?

1.0

Recall?

0.9838709677419355

Freqs

test

number	freq
0	134
1	122

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

116.0ms

512×

valid

Compiler

Compiled 304 to 76 computations (75% saved)

Precisions

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

ival-add: 48.0ms (51.8% of total)

ival-mult: 15.0ms (16.2% of total)

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

ival-hypot: 9.0ms (9.7% of total)

ival-atan2: 4.0ms (4.3% of total)

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

ival-true: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Status

Accuracy

Program

▶

53.2%

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

Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify260.0ms (1.1%)

Memory

3.8MiB live, 360.4MiB 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)

localize59.0ms (0.3%)

Memory

29.1MiB live, 105.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.4%	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
✓	accuracy	99.3%	(*.f64 (log.f64 base) (log.f64 base))
✓	accuracy	55.3%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

38.0ms

256×

valid

Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 7.0ms (26.9% of total)

ival-log: 6.0ms (23% of total)

ival-hypot: 5.0ms (19.2% of total)

ival-add: 3.0ms (11.5% of total)

ival-atan2: 3.0ms (11.5% of total)

ival-div: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series95.0ms (0.4%)

Memory

-9.6MiB live, 140.6MiB 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
54.0ms	base	@	0	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
15.0ms	base	@	-inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
7.0ms	base	@	inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
6.0ms	re	@	inf	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))
2.0ms	re	@	0	(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

simplify457.0ms (2%)

Memory

-24.8MiB live, 606.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 164

Calls

Call 1

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

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

rewrite474.0ms (2.1%)

Memory

16.2MiB live, 770.3MiB 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))))

eval226.0ms (1%)

Memory: -8.0MiB live, 494.5MiB allocated
Compiler: Compiled 69 932 to 3 239 computations (95.4% saved)

prune367.0ms (1.6%)

Memory

8.7MiB live, 614.8MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1 641	15	1 656
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 642	15	1 657

Accuracy

99.8%

Counts

1 657 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(/.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))))))
▶	53.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
▶	99.2%	(/.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))))
	53.1%	(/.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 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.4%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	53.2%	(/.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))))))
	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))))
	53.2%	(.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))))
	53.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
	53.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
▶	53.3%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) (log.f64 base))
	53.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))))
	53.2%	(.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))) (log.f64 base)) (log.f64 base))
	53.3%	#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)))
▶	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

Compiler

Compiled 654 to 412 computations (37% saved)

simplify247.0ms (1.1%)

Memory

27.0MiB live, 419.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
✓	cost-diff	13184	(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	0	(.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)))))
✓	cost-diff	12800	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) (log.f64 base))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(/.f64 (log.f64 im) (log.f64 base))
✓	cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
✓	cost-diff	320	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
✓	cost-diff	5120	(hypot.f64 re im)
✓	cost-diff	6784	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
✓	cost-diff	13184	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Rules

5 134×	`lower-*.f32`
5 118×	`lower-*.f64`
4 820×	`lower-/.f32`
4 806×	`lower-/.f64`
3 244×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	338
0	81	309
1	114	301
2	188	275
3	429	265
4	928	265
5	2025	265
6	2477	265
7	2606	265
8	2682	265
9	2779	265
10	2885	265
11	3017	265
12	3641	265
13	3828	265
14	4029	265
15	4262	265
16	4515	265
17	4804	265
18	5129	265
19	5313	265
20	5438	265
0	8878	265

Stop Event

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

Calls

Call 1

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

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

localize228.0ms (1%)

Memory

-9.6MiB live, 319.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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 (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 #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	53.6%	(log.f64 (fma.f64 re re (*.f64 im im)))
✓	accuracy	99.4%	(/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))))
✓	accuracy	99.4%	(.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))
✓	accuracy	99.3%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	accuracy	53.6%	(log.f64 (fma.f64 re re (*.f64 im im)))
✓	accuracy	99.6%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) (log.f64 base))
✓	accuracy	99.5%	(.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)))))
✓	accuracy	99.2%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	53.6%	(log.f64 (fma.f64 re re (*.f64 im im)))
✓	accuracy	100.0%	(log.f64 im)
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.5%	(/.f64 (log.f64 im) (log.f64 base))
✓	accuracy	99.2%	#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	100.0%	(log.f64 base)
✓	accuracy	99.5%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	accuracy	99.3%	(*.f64 (log.f64 base) (log.f64 base))

Samples

163.0ms

256×

valid

Compiler

Compiled 387 to 39 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 52.0ms (56.8% of total)

ival-log: 12.0ms (13.1% of total)

ival-div: 10.0ms (10.9% of total)

ival-hypot: 5.0ms (5.5% of total)

ival-pow: 4.0ms (4.4% of total)

ival-add: 3.0ms (3.3% 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)

series141.0ms (0.6%)

Memory

10.6MiB live, 281.8MiB allocated

Counts

21 → 528

Calls

Call 1

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

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 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 (/ (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 (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (* -1 (/ (log (/ 1 im)) (log base)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
#<alt (/ (log im) (log base))>
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#<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

132 calls:

Time	Variable		Point	Expression
37.0ms	im	@	0	(/ (log im) (log base))
18.0ms	base	@	0	(* (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (log base))
13.0ms	base	@	0	(/ (log im) (log base))
8.0ms	im	@	inf	(/ (log im) (log base))
7.0ms	im	@	-inf	(/ (log im) (log base))

simplify487.0ms (2.1%)

Memory

-20.7MiB live, 846.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 354×	`lower-fma.f64`
11 354×	`lower-fma.f32`
7 754×	`lower-*.f64`
7 754×	`lower-*.f32`
4 572×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	937	11100
1	2704	10886
0	8402	10250

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 524

Calls

Call 1

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

rewrite844.0ms (3.7%)

Memory

5.0MiB live, 1 202.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 076×	`lower-fma.f32`
6 074×	`lower-fma.f64`
4 910×	`lower-*.f32`
4 894×	`lower-*.f64`
3 696×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	211
0	81	173
1	213	148
2	1231	114
0	8825	114

Stop Event

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

Counts

21 → 5 056

Calls

Call 1

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

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

eval1.4s (6%)

Memory: 32.0MiB live, 1 784.3MiB allocated
Compiler: Compiled 185 056 to 7 682 computations (95.8% saved)

prune908.0ms (4%)

Memory

-53.6MiB live, 1 037.8MiB allocated

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	6 260	25	6 285
Fresh	9	1	10
Picked	4	1	5
Done	0	0	0
Total	6 273	27	6 300

Accuracy

100.0%

Counts

6 300 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.0%	(pow.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	51.7%	(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 2 binary64)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))))
	31.7%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))) #s(literal -1 binary64))))
	98.4%	(/.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 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	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 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.1%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	46.8%	(/.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) (exp.f64 (log.f64 (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)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.3%	(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* (log base) 1/2) (log (+ (* re re) (* im im)))) (*.f64 (log.f64 im) (log.f64 base)))))
▶	53.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))))
	53.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
	98.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 (log.f64 base) (log.f64 im))))
	53.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
	53.1%	(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) (log.f64 base))
▶	98.5%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ ( re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))))) (log.f64 base))
	52.7%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ ( re re) (* im im))) (log.f64 (*.f64 im im))))) (log.f64 base))
	98.4%	(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
	46.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
	46.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	48.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64))))
	46.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im))))
▶	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
	48.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))

Compiler

Compiled 981 to 632 computations (35.6% saved)

simplify195.0ms (0.9%)

Memory

0.3MiB live, 235.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (fma.f64 im im (*.f64 re re)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re))))
✓	cost-diff	0	(pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 2 binary64))
✓	cost-diff	14208	(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 2 binary64)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))))
✓	cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))))))
✓	cost-diff	128	(neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))
✓	cost-diff	12800	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ ( re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))))) (log.f64 base))
✓	cost-diff	0	(log.f64 (fma.f64 im im (*.f64 re re)))
✓	cost-diff	0	(/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))
✓	cost-diff	384	(/.f64 #s(literal 2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
✓	cost-diff	5120	(hypot.f64 re im)
✓	cost-diff	6784	(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
✓	cost-diff	6848	(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base))
✓	cost-diff	13440	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Rules

7 180×	`lower-*.f32`
7 162×	`lower-*.f64`
2 302×	`lower-/.f32`
2 288×	`lower-/.f64`
1 932×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	367
0	91	324
1	135	312
2	230	301
3	627	289
4	2727	289
5	3902	289
6	4771	289
7	5566	289
0	8275	289

Stop Event

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

Calls

Call 1

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

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

localize247.0ms (1.1%)

Memory

-7.1MiB live, 342.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 2 binary64)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))))
✓	accuracy	99.4%	(.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re)))))
✓	accuracy	99.3%	(pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 2 binary64))
✓	accuracy	53.6%	(log.f64 (fma.f64 im im (*.f64 re re)))
✓	accuracy	99.6%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ ( re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))))) (log.f64 base))
✓	accuracy	99.5%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))))))
✓	accuracy	99.2%	(pow.f64 (log.f64 base) #s(literal -2 binary64))
✓	accuracy	99.2%	#s(approx (log (+ (* re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64))))
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))))
✓	accuracy	99.5%	(/.f64 (log.f64 (fma.f64 im im (*.f64 re re))) (log.f64 base))
✓	accuracy	53.6%	(log.f64 (fma.f64 im im (*.f64 re re)))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im))
✓	accuracy	99.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
✓	accuracy	99.5%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.4%	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	accuracy	99.4%	(/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base))
✓	accuracy	98.9%	(pow.f64 (log.f64 base) #s(literal 3 binary64))

Samples

155.0ms

256×

valid

Compiler

Compiled 387 to 48 computations (87.6% saved)

Precisions

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

ival-mult: 58.0ms (44.7% of total)

ival-log: 26.0ms (20.1% of total)

ival-div: 14.0ms (10.8% of total)

ival-add: 12.0ms (9.3% of total)

ival-pow: 8.0ms (6.2% of total)

ival-hypot: 5.0ms (3.9% of total)

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

ival-pow2: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

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

series30.0ms (0.1%)

Memory

13.8MiB live, 50.4MiB allocated

Counts

23 → 600

Calls

Call 1

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

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)))))))>
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#<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))))))>

Calls

150 calls:

Time	Variable		Point	Expression
1.0ms	im	@	inf	(pow (* 1/2 (log (+ (* im im) (* re re)))) 2)
1.0ms	re	@	inf	(pow (* 1/2 (log (+ (* im im) (* re re)))) 2)
1.0ms	re	@	0	(pow (* 1/2 (log (+ (* im im) (* re re)))) 2)
1.0ms	im	@	0	(pow (* 1/2 (log (+ (* im im) (* re re)))) 2)
1.0ms	base	@	0	(pow (log base) 3)

simplify586.0ms (2.6%)

Memory

13.1MiB live, 844.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 148×	`lower-fma.f64`
13 148×	`lower-fma.f32`
7 960×	`lower-*.f64`
7 960×	`lower-*.f32`
5 040×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	966	12362
1	2830	12036
0	8649	11286

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 596

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)))))
(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)
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
re
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
im
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(* -1 (/ (log im) (log (/ 1 base))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (+ (log -1) (* -1 (log (/ -1 base)))))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(/ (log im) (log base))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(* -1 (/ (log (/ 1 im)) (log base)))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (+ (log -1) (* -1 (log (/ -1 im)))) (log base))
(/ (log 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 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ 1 (log base))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ -1 (log (/ 1 base)))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(/ 1 (+ (log -1) (* -1 (log (/ -1 base)))))
(log base)
(log base)
(log base)
(log base)
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(* -1 (log (/ 1 base)))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(+ (log -1) (* -1 (log (/ -1 base))))
(* 1/2 (/ (log (pow re 2)) (log base)))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
(+ (* 1/2 (/ (log (pow re 2)) (log base))) (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ 1 im)) (log base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/6 (/ (pow re 6) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(* 1/2 (/ (log (pow im 2)) (log base)))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))
(+ (* 1/2 (/ (log (pow im 2)) (log base))) (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))))
(* -1 (/ (log (/ 1 re)) (log base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(+ (* -1 (/ (log (/ -1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/6 (/ (pow im 6) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(* 1/2 (/ (log (+ (pow 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))))))
(* 2 (/ (log base) (log (pow re 2))))
(+ (* -2 (/ (* (pow im 2) (log base)) (* (pow re 2) (pow (log (pow re 2)) 2)))) (* 2 (/ (log base) (log (pow re 2)))))
(+ (* 2 (/ (log base) (log (pow re 2)))) (* (pow im 2) (+ (* -2 (* (pow im 2) (+ (* -1 (/ (log base) (* (pow re 4) (pow (log (pow re 2)) 3)))) (* -1/2 (/ (log base) (* (pow re 4) (pow (log (pow re 2)) 2))))))) (* -2 (/ (log base) (* (pow re 2) (pow (log (pow re 2)) 2)))))))
(+ (* 2 (/ (log base) (log (pow re 2)))) (* (pow im 2) (+ (* -2 (/ (log base) (* (pow re 2) (pow (log (pow re 2)) 2)))) (* (pow im 2) (+ (* -2 (* (pow im 2) (+ (* -1 (/ (+ (* -1 (/ (log base) (* (pow re 4) (pow (log (pow re 2)) 3)))) (* -1/2 (/ (log base) (* (pow re 4) (pow (log (pow re 2)) 2))))) (* (pow re 2) (log (pow re 2))))) (+ (* 1/3 (/ (log base) (* (pow re 6) (pow (log (pow re 2)) 2)))) (* 1/2 (/ (log base) (* (pow re 6) (pow (log (pow re 2)) 3)))))))) (* -2 (+ (* -1 (/ (log base) (* (pow re 4) (pow (log (pow re 2)) 3)))) (* -1/2 (/ (log base) (* (pow re 4) (pow (log (pow re 2)) 2)))))))))))
(* -1 (/ (log base) (log (/ 1 im))))
(+ (* -1 (/ (log base) (log (/ 1 im)))) (* -1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ 1 im)) 2)))))
(+ (* -2 (/ (+ (* -1/8 (/ (* (pow re 4) (log base)) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log base)) (pow (log (/ 1 im)) 3)))) (pow im 4))) (+ (* -1 (/ (log base) (log (/ 1 im)))) (* -1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ 1 im)) 2))))))
(+ (* -2 (/ (+ (* -1/8 (/ (* (pow re 4) (log base)) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log base)) (pow (log (/ 1 im)) 3)))) (pow im 4))) (+ (* -2 (/ (+ (* -1/16 (/ (* (pow re 6) (log base)) (pow (log (/ 1 im)) 3))) (+ (* 1/12 (/ (* (pow re 6) (log base)) (pow (log (/ 1 im)) 2))) (* 1/2 (/ (* (pow re 2) (+ (* -1/8 (/ (* (pow re 4) (log base)) (pow (log (/ 1 im)) 2))) (* 1/8 (/ (* (pow re 4) (log base)) (pow (log (/ 1 im)) 3))))) (log (/ 1 im)))))) (pow im 6))) (+ (* -1 (/ (log base) (log (/ 1 im)))) (* -1/2 (/ (* (pow re 2) (log base)) (* (pow im 2) (pow (log (/ 1 im)) 2)))))))
(* -1 (/ (log base) (log (/ -1 im))))
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(pow (log base) 3)
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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)))
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(fma.f64 (.f64 im im) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 re re)) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (log.f64 base)) (pow.f64 re #s(literal 4 binary64))) (.f64 (.f64 im im) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 re re)))) (.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/6 (/ (* (pow im 6) (log base)) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(-.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (.f64 #s(literal -1/4 binary64) (log.f64 base)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (log.f64 base) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) (.f64 (.f64 im im) (/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 base)) (.f64 re re))))) (*.f64 (log.f64 base) (log.f64 (/.f64 #s(literal -1 binary64) re))))

rewrite702.0ms (3.1%)

Memory

6.1MiB live, 982.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 750×	`lower-fma.f32`
4 748×	`lower-fma.f64`
4 058×	`lower-*.f32`
4 040×	`lower-*.f64`
3 692×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	258
0	91	225
1	272	188
2	1804	161
0	9014	161

Stop Event

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

Counts

23 → 3 197

Calls

Call 1

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

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

eval820.0ms (3.6%)

Memory: 40.7MiB live, 1 603.5MiB allocated
Compiler: Compiled 155 802 to 9 070 computations (94.2% saved)

prune762.0ms (3.3%)

Memory

0.3MiB live, 1 398.9MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	4 823	18	4 841
Fresh	12	9	21
Picked	4	1	5
Done	0	1	1
Total	4 839	29	4 868

Accuracy

100.0%

Counts

4 868 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 2 binary64)) (.f64 (log.f64 base) #s(approx ( 1/2 (log (+ (* im im) (* re re)))) (log.f64 im))))
	98.4%	(/.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 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 (log.f64 base) #s(literal 7 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	99.2%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	53.3%	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
	98.4%	(/.f64 (.f64 #s(approx (log (+ ( re re) (* im im))) (.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 1/2 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	52.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(approx (log (+ (* im im) (* re re))) (log.f64 (*.f64 im im))) (log.f64 base))))
	53.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)))
▶	98.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 (log.f64 base) (log.f64 im))))
	98.4%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(approx (log (+ (* re re) (* im im))) (.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 1/2 binary64))))
▶	98.3%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(approx (log (+ ( re re) (* im im))) (.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 1/2 binary64)))))
	98.3%	(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ ( re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))))) (log.f64 base))
	98.2%	(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))))) (log.f64 base))
	45.7%	(.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))))) (log.f64 base))
▶	98.4%	(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
	46.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
▶	46.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	46.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)))
	46.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im))))
	98.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im)))
	98.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 im)))
✓	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
	98.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 im)))
	51.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64))))) (log.f64 im)))
	46.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (log.f64 im)))
	48.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))

Compiler

Compiled 994 to 664 computations (33.2% saved)

simplify203.0ms (0.9%)

Memory

-9.2MiB live, 307.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 base))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(approx (log (+ ( re re) (* im im))) (.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 1/2 binary64)))))
✓	cost-diff	14144	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(approx (log (+ (* re re) (* im im))) (.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 1/2 binary64))))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
✓	cost-diff	0	(log.f64 im)
✓	cost-diff	0	(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	cost-diff	7104	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
✓	cost-diff	0	(log.f64 base)
✓	cost-diff	0	(/.f64 (log.f64 base) (log.f64 im))
✓	cost-diff	0	#s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 (log.f64 base) (log.f64 im)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 (log.f64 base) (log.f64 im))))
✓	cost-diff	192	(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
✓	cost-diff	256	(*.f64 (log.f64 base) (log.f64 base))
✓	cost-diff	320	(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
✓	cost-diff	5120	(hypot.f64 re im)

Rules

4 064×	`lower-*.f32`
4 048×	`lower-*.f64`
2 156×	`cube-prod`
1 802×	`lower-fma.f64`
1 802×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	363
0	87	334
1	126	320
2	227	299
3	630	293
4	1989	293
5	2791	293
6	3002	293
7	3441	293
8	3738	293
9	4168	293
10	4743	293
11	5503	293
12	6430	293
13	7511	293
14	7859	293
0	8070	283

Stop Event

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

Calls

Call 1

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

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

localize218.0ms (1%)

Memory

0.3MiB live, 299.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(approx (log (+ (* re re) (* im im))) (.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(approx (log (+ ( re re) (* im im))) (.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 1/2 binary64)))))
✓	accuracy	99.7%	(.f64 #s(approx (log (+ ( re re) (* im im))) (.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 1/2 binary64)))
✓	accuracy	99.3%	#s(approx (log (+ (* re re) (* im im))) (*.f64 (log.f64 im) #s(literal 2 binary64)))
✓	accuracy	99.8%	(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
✓	accuracy	99.7%	(/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
✓	accuracy	99.6%	(pow.f64 (log.f64 base) #s(literal 2 binary64))
✓	accuracy	99.3%	#s(approx (* (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
✓	accuracy	99.9%	(sqrt.f64 (log.f64 base))
✓	accuracy	99.7%	(/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))
✓	accuracy	99.6%	(pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))
✓	accuracy	99.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	accuracy	100.0%	(log.f64 base)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 (log.f64 base) (log.f64 im))))
✓	accuracy	99.7%	(/.f64 (log.f64 base) (log.f64 im))
✓	accuracy	99.3%	#s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 (log.f64 base) (log.f64 im)))
✓	accuracy	100.0%	#s(approx (* (atan2 im re) 0) #s(literal 0 binary64))
✓	accuracy	99.7%	(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	accuracy	99.7%	(*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base))
✓	accuracy	99.6%	(*.f64 (log.f64 base) (log.f64 base))

Samples

58.0ms	134×	0	invalid
46.0ms	122×	0	valid

Compiler

Compiled 340 to 45 computations (86.8% saved)

Precisions

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

ival-mult: 20.0ms (25.6% of total)

ival-log: 19.0ms (24.4% of total)

ival-div: 13.0ms (16.7% of total)

ival-hypot: 7.0ms (9% of total)

ival-pow2: 5.0ms (6.4% of total)

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

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

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

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

exact: 1.0ms (1.3% of total)

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

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

series34.0ms (0.1%)

Memory

-10.3MiB live, 45.2MiB allocated

Counts

25 → 600

Calls

Call 1

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

Outputs
#<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 (pow (log base) 2)>
#<alt (pow (log base) 2)>
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#<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 (/ (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 (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (sqrt (log base))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (* (sqrt (log (/ 1 base))) (sqrt -1))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (log -1) (* -1 (log (/ -1 base)))))>
#<alt (sqrt (+ (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))))>
#<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 (* 1/2 (* (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))))))>

Calls

150 calls:

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

simplify465.0ms (2%)

Memory

20.2MiB live, 700.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 906×	`lower-fma.f64`
9 906×	`lower-fma.f32`
6 360×	`lower-*.f64`
6 360×	`lower-*.f32`
3 610×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	791	11036
1	2271	10602
2	7609	10594
0	8056	9962

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 596

Calls

Call 1

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

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

rewrite439.0ms (1.9%)

Memory

-9.2MiB live, 674.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 216×	`lower-fma.f64`
10 216×	`lower-fma.f32`
5 764×	`lower-*.f32`
5 748×	`lower-*.f64`
2 588×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	304
0	87	272
1	249	240
2	1417	214
0	8730	209

Stop Event

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

Counts

25 → 1 163

Calls

Call 1

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

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

eval4.0s (17.4%)

Memory: 10.5MiB live, 664.9MiB allocated
Compiler: Compiled 56 868 to 4 825 computations (91.5% saved)

prune3.9s (17.1%)

Memory

5.4MiB live, 770.7MiB allocated

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	2 383	13	2 396
Fresh	13	9	22
Picked	2	3	5
Done	0	2	2
Total	2 398	27	2 425

Accuracy

100.0%

Counts

2 425 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.5%	(pow.f64 (pow.f64 #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
	52.7%	(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 2 binary64)) (.f64 (log.f64 base) #s(approx ( 1/2 (log (+ (* im im) (* re re)))) (log.f64 im))))
	98.4%	(/.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 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
	53.3%	(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
	98.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓	98.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 (log.f64 base) (log.f64 im))))
	98.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (log.f64 base)))))
	98.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
	98.4%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(approx (log (+ (* re re) (* im im))) (.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 1/2 binary64))))
	98.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 #s(approx (log (+ ( re re) (* im im))) (.f64 #s(literal 2 binary64) (log.f64 im))) (.f64 (log.f64 base) #s(literal 1/2 binary64)))))
	98.3%	(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ ( re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))))) (log.f64 base))
	98.5%	(.f64 (log.f64 base) #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
✓	98.4%	(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 base))
	98.4%	(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))) (log.f64 base))
	98.3%	(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im)))) (log.f64 base))
	98.5%	(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (log.f64 base))
	98.3%	(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (.f64 (.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (log.f64 base)) (log.f64 base))) (log.f64 base))
	46.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
✓	46.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
✓	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	98.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im)))
	46.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
	46.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (log.f64 im))))
✓	98.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
	46.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #s(literal -1 binary64))) (log.f64 im)))

Compiler

Compiled 1 598 to 509 computations (68.1% saved)

regimes105.0ms (0.5%)

Memory

22.2MiB live, 211.2MiB allocated

Counts

72 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (log.f64 im)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 (log.f64 base) (log.f64 im))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (log.f64 base))))
(/.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base))
(/.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64)) (log.f64 base))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (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))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (log.f64 base)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(approx (log (+ (* im im) (* re re))) (log.f64 (*.f64 im im))) (log.f64 base))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 im)) (/.f64 #s(literal 1 binary64) (log.f64 base)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 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 im) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (sqrt.f64 (log.f64 base))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 (log.f64 im) (sqrt.f64 (log.f64 base))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base)))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 base))) (log.f64 im))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 im)))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (exp.f64 (.f64 (log.f64 (log.f64 base)) #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 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 im)))
(.f64 (log.f64 base) #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
(pow.f64 (pow.f64 #s(approx (/ (pow (log base) 2) (* (* (log base) 1/2) (log (+ (* re re) (* im im))))) (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))
(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (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) #s(approx (log (+ ( re re) (* im im))) (log.f64 (*.f64 im im))))) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(approx (log (+ (* re re) (* im im))) (.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 1/2 binary64))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ ( re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))))) (log.f64 base))
(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (/.f64 (log.f64 im) (sqrt.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64))))) (log.f64 base))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))))
(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (.f64 im im)))))
(/.f64 (.f64 #s(approx (log (+ ( re re) (* im im))) (.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 1/2 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 (/.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) #s(approx (* (* (log base) 1/2) (log (+ (* re re) (* im im)))) (*.f64 (log.f64 im) (log.f64 base)))))
(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 im) (log.f64 base))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (pow.f64 (/.f64 (.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (*.f64 (/.f64 (log.f64 im) (log.f64 base)) (/.f64 #s(literal 1 binary64) (log.f64 base)))) (log.f64 base))
(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 2 binary64)) (.f64 (log.f64 base) #s(approx ( 1/2 (log (+ (* im im) (* re re)))) (log.f64 im))))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ ( re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))))) (log.f64 base))
(.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im))))) (log.f64 base))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))) #s(literal -1 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 #s(literal 1 binary64) (log.f64 base)) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (.f64 #s(approx (log (+ ( re re) (* im im))) (.f64 (log.f64 im) #s(literal 2 binary64))) (.f64 (log.f64 base) #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (.f64 re re)))) #s(literal 2 binary64)) (.f64 (log.f64 base) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 im im (*.f64 re re))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (.f64 (log.f64 (fma.f64 re re (.f64 im im))) (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) (.f64 (log.f64 (fma.f64 re re (.f64 im im))) #s(literal 1/2 binary64))))) (log.f64 im)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im)))) (log.f64 base))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (log.f64 base) (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 re re (*.f64 im im))))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) (log.f64 im))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64)))
(.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (log.f64 (log.f64 base)))) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))))) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 re re (.f64 im im)))) (pow.f64 (log.f64 base) #s(literal 3 binary64))))
#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 2 binary64)))) (log.f64 im)))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) #s(approx ( (atan2 im re) 0) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im)))) (log.f64 base))
(.f64 #s(approx ( (pow (log base) -2) (* 1/2 (log (+ (* re re) (* im im))))) (.f64 (.f64 (*.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (log.f64 base)) (log.f64 base))) (log.f64 base))
(.f64 (pow.f64 (log.f64 base) #s(literal -6 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 #s(approx (log (+ ( re re) (* im im))) (.f64 #s(literal 2 binary64) (log.f64 im))) (.f64 (log.f64 base) #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 (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 base) (log.f64 im)) #s(literal -1/2 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 (.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))) (log.f64 base)) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) #s(approx (log (+ (* re re) (* im im))) (neg.f64 (*.f64 (log.f64 im) #s(literal -2 binary64)))))) (log.f64 base))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 base))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (exp.f64 (log.f64 (log.f64 base)))) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 8 binary64)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 9 binary64)) (pow.f64 (log.f64 base) #s(literal 7 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Outputs

(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Calls

5 calls:

22.0ms	(/.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))))
22.0ms	base
20.0ms	(log.f64 base)
19.0ms	re
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)

regimes93.0ms (0.4%)

Memory

-20.9MiB live, 191.2MiB allocated

Counts

65 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	re
18.0ms	(log.f64 base)
18.0ms	im
17.0ms	base
17.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

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)

regimes77.0ms (0.3%)

Memory

11.6MiB live, 88.2MiB allocated

Accuracy

Total -56.1b remaining (-6483.7%)

Threshold costs -56.1b (-6483.7%)

Counts

51 → 1

Calls

Call 1

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

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:

22.0ms	im
14.0ms	(log.f64 base)
13.0ms	re
13.0ms	base
12.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
98.6%	1	`re`
98.6%	1	`im`
98.6%	1	`base`
98.6%	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))))`
98.6%	1	`(log.f64 base)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

simplify18.0ms (0.1%)

Memory

-25.5MiB live, 12.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	77
1	44	77

Stop Event

1×

saturated

Calls

Call 1

Inputs

(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

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

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

Outputs

(/.f64 (+.f64 (*.f64 (log.f64 (hypot.f64 re im)) (log.f64 base)) (*.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

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

#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)))

soundness935.0ms (4.1%)

Memory

36.4MiB live, 464.2MiB allocated

Rules

12 210×	`lower-fma.f64`
12 210×	`lower-fma.f32`
11 354×	`lower-fma.f64`
11 354×	`lower-fma.f32`
10 216×	`lower-fma.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
0	59	304
0	87	272
1	249	240
2	1417	214
0	8730	209
0	51	211
0	81	173
1	213	148
2	1231	114
0	8825	114
0	18	75
0	34	61
1	99	55
2	688	55
3	6199	55
0	8222	35
0	937	11100
1	2704	10886
0	8402	10250

Stop Event

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

Compiler

Compiled 267 to 120 computations (55.1% saved)

preprocess138.0ms (0.6%)

Memory

-65.2MiB live, 54.8MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 328 to 184 computations (43.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze188.0ms (0.8%)

sample1.6s (6.9%)

preprocess423.0ms (1.9%)

explain528.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify260.0ms (1.1%)

localize59.0ms (0.3%)

series95.0ms (0.4%)

simplify457.0ms (2%)

rewrite474.0ms (2.1%)

eval226.0ms (1%)

prune367.0ms (1.6%)

simplify247.0ms (1.1%)

localize228.0ms (1%)

series141.0ms (0.6%)

simplify487.0ms (2.1%)

rewrite844.0ms (3.7%)

eval1.4s (6%)

prune908.0ms (4%)

simplify195.0ms (0.9%)

localize247.0ms (1.1%)

series30.0ms (0.1%)

simplify586.0ms (2.6%)

rewrite702.0ms (3.1%)

eval820.0ms (3.6%)

prune762.0ms (3.3%)

simplify203.0ms (0.9%)

localize218.0ms (1%)

series34.0ms (0.1%)

simplify465.0ms (2%)

rewrite439.0ms (1.9%)

eval4.0s (17.4%)

prune3.9s (17.1%)

regimes105.0ms (0.5%)

regimes93.0ms (0.4%)

regimes77.0ms (0.3%)

simplify18.0ms (0.1%)

soundness935.0ms (4.1%)

preprocess138.0ms (0.6%)

end0.0ms (0%)

Profiling