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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze204.0ms (2%)

Memory

24.4MiB live, 335.2MiB 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 (15.9%)

Memory

2.2MiB live, 1 817.7MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 806.0ms

ival-log: 242.0ms (30% of total)

ival-hypot: 182.0ms (22.6% of total)

ival-mult: 151.0ms (18.7% of total)

ival-atan2: 80.0ms (9.9% of total)

ival-add: 74.0ms (9.2% of total)

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

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

exact: 6.0ms (0.7% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain380.0ms (3.7%)

Memory

-5.8MiB live, 397.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
129	-	1	(-1.3081417391315536e-157 5.415804674090044e-182 2.7533765167365484e+189)	`(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	118	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	overflow	118
↳	`(*.f64 re re)`	overflow	65
↳	`(*.f64 im im)`	overflow	74
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`	uflow-rescue	10	0
↳	`(+.f64 (.f64 re re) (.f64 im im))`	underflow	10
↳	`(*.f64 re re)`	underflow	68
↳	`(*.f64 im im)`	underflow	44

Confusion

	Predicted +	Predicted -
+	128	1
-	0	127

Precision

1.0

Recall

0.9922480620155039

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	1
-	0	0	127

Precision?

1.0

Recall?

0.9922480620155039

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

131.0ms

512×

valid

Compiler

Compiled 389 to 76 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 47.0ms (43.7% of total)

ival-hypot: 33.0ms (30.7% of total)

ival-log: 12.0ms (11.1% of total)

ival-add: 7.0ms (6.5% of total)

ival-atan2: 4.0ms (3.7% of total)

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

ival-true: 1.0ms (0.9% of total)

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

exact: 0.0ms (0% of total)

preprocess313.0ms (3.1%)

Memory

6.8MiB live, 202.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	189
1	144	171
2	238	171
3	459	125
4	851	113
5	1590	113
6	4794	113
7	7463	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 (hypot.f64 im re)) (log.f64 base))

Symmetry

(abs im)

(abs re)

(sort re im)

Compiler

Compiled 28 to 18 computations (35.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(/.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))))

Status

Accuracy

Program

▶

51.1%

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

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify250.0ms (2.4%)

Memory

4.8MiB live, 163.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	113
0	34	95
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 (hypot.f64 im re)) (log.f64 base))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
(log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))))
(log.f64 (hypot.f64 im re))
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(hypot.f64 im re)
(+.f64 (.f64 re re) (.f64 im im))
(fma.f64 im im (*.f64 re re))
(*.f64 re re)
re
(*.f64 im im)
im
(log.f64 base)
base
(*.f64 (atan2.f64 im re) #s(literal 0 binary64))
#s(literal 0 binary64)
(atan2.f64 im re)
#s(literal 0 binary64)
(+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

localize88.0ms (0.9%)

Memory

12.0MiB live, 91.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.3561325195368841	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
accuracy	0.37890625	(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im)))) (log.f64 base))
accuracy	0.5381050293053261	(*.f64 (log.f64 base) (log.f64 base))
accuracy	29.948367008551912	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Samples

61.0ms

256×

valid

Compiler

Compiled 240 to 38 computations (84.2% saved)

Precisions

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

ival-mult: 7.0ms (29.2% of total)

ival-log: 6.0ms (25.1% of total)

ival-hypot: 4.0ms (16.7% of total)

ival-add: 3.0ms (12.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series189.0ms (1.8%)

Memory

-13.7MiB live, 152.4MiB allocated

Counts

7 → 80

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.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
(/ (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)))
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))))))))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(* -1 (/ (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 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))))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (/ (log (/ -1 re)) (log base)))
(+ (* -1 (/ (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 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 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(/ (log re) (log base))
(+ (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* -1/4 (/ (pow im 2) (* (pow re 4) (log base)))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(+ (* (pow im 2) (+ (* (pow im 2) (- (* 1/6 (/ (pow im 2) (* (pow re 6) (log base)))) (* 1/4 (/ 1 (* (pow re 4) (log base)))))) (* 1/2 (/ 1 (* (pow re 2) (log base)))))) (/ (log re) (log base)))
(* (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))))))))
(+ re (* 1/2 (/ (pow im 2) re)))
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(* -1 (/ (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 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))))))
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(* -1 (/ (log (/ -1 im)) (log base)))
(+ (* -1 (/ (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 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 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 (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(pow (log base) 2)
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(pow (log (/ 1 base)) 2)
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)

Calls

9 calls:

Time	Variable		Point	Expression
71.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
53.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
43.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
9.0ms	im	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
3.0ms	im	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (* (atan2 im re) 0) (* 0 0) (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (sqrt (+ (* re re) (* im im))) (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))

simplify238.0ms (2.3%)

Memory

25.3MiB live, 179.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	299	1777
1	840	1750
2	2645	1728
3	6335	1718
0	8100	1596

Stop Event

1×	iter limit
1×	node limit

Counts

80 → 78

Calls

Call 1

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

Outputs
(/ (log im) (log base))
(/.f64 (log.f64 im) (log.f64 base))
(+ (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))) (/ (log im) (log base)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) im)) (/.f64 (.f64 re re) im) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* (pow re 2) (+ (* -1/4 (/ (pow re 2) (* (pow im 4) (log base)))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (log.f64 base) im)) (/.f64 re im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base))))
(+ (* (pow re 2) (+ (* (pow re 2) (- (* 1/6 (/ (pow re 2) (* (pow im 6) (log base)))) (* 1/4 (/ 1 (* (pow im 4) (log base)))))) (* 1/2 (/ 1 (* (pow im 2) (log base)))))) (/ (log im) (log base)))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) re) (pow.f64 im #s(literal 6 binary64))) (/.f64 re (log.f64 base)) (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (log.f64 base))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) im)) (/.f64 (*.f64 re re) im) (/.f64 (log.f64 im) (log.f64 base))))
0
#s(literal 0 binary64)
(* (log base) (log im))
(*.f64 (log.f64 base) (log.f64 im))
(+ (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))) (* (log base) (log im)))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (*.f64 (log.f64 base) (log.f64 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 (fma.f64 (.f64 (.f64 (log.f64 base) re) re) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im))) (.f64 re re) (*.f64 (log.f64 base) (log.f64 im)))
(+ (* (log base) (log im)) (* (pow re 2) (+ (* 1/2 (/ (log base) (pow im 2))) (* (pow re 2) (+ (* -1/4 (/ (log base) (pow im 4))) (* 1/6 (/ (* (pow re 2) (log base)) (pow im 6))))))))
(fma.f64 (fma.f64 (/.f64 (log.f64 base) im) (/.f64 #s(literal 1/2 binary64) im) (.f64 (fma.f64 (.f64 (.f64 (log.f64 base) re) re) (/.f64 #s(literal 1/6 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 (log.f64 base) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))))) (.f64 re re))) (.f64 re re) (*.f64 (log.f64 base) (log.f64 im)))
im
(+ im (* 1/2 (/ (pow re 2) im)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) im) (*.f64 re re) im)
(+ im (* (pow re 2) (+ (* -1/8 (/ (pow re 2) (pow im 3))) (* 1/2 (/ 1 im)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) re) (/.f64 re (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) (.f64 re re) im)
(+ im (* (pow re 2) (+ (* (pow re 2) (- (* 1/16 (/ (pow re 2) (pow im 5))) (* 1/8 (/ 1 (pow im 3))))) (* 1/2 (/ 1 im)))))
(fma.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/16 binary64) re) (/.f64 re (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) im) (.f64 re re) im))
(* -1 (/ (log (/ 1 re)) (log base)))
(/.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) re)) (/.f64 (.f64 im im) re) (/.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 base) re)) (/.f64 im re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 base))))
(+ (* -1 (/ (log (/ 1 re)) (log base))) (+ (* -1/4 (/ (pow im 4) (* (pow re 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow im 6)) (* 90 (pow im 6))) (* (pow re 6) (log base)))) (* 1/2 (/ (pow im 2) (* (pow re 2) (log base)))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 base) re)) (/.f64 im re) (fma.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 base)) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 re) (log.f64 base)))))
(* -1 (* (log base) (log (/ 1 re))))
(*.f64 (log.f64 re) (log.f64 base))
(+ (* -1 (* (log base) (log (/ 1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (*.f64 (log.f64 re) (log.f64 base)))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(fma.f64 (log.f64 re) (log.f64 base) (fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))))))
(+ (* -1 (* (log base) (log (/ 1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 re #s(literal 4 binary64))) (.f64 (log.f64 re) (log.f64 base)))))
re
(* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2)))))
(fma.f64 (.f64 (/.f64 (.f64 im im) re) #s(literal 1/2 binary64)) #s(literal 1 binary64) re)
(* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) re) im) re) im #s(literal 1 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)))))))
(.f64 (fma.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) re) im) re) im #s(literal 1 binary64)))) re)
(* -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 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 base) re)) (/.f64 im 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 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 base) re)) (/.f64 im 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)))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 base) re)) (/.f64 im re) (fma.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 base)) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (neg.f64 (log.f64 base))))))
(* -1 (* (log base) (log (/ -1 re))))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) re)))
(+ (* -1 (* (log base) (log (/ -1 re)))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))
(fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) re))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2)))))
(fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) re)) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))))))
(+ (* -1 (* (log base) (log (/ -1 re)))) (+ (* -1/4 (/ (* (pow im 4) (log base)) (pow re 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow im 6)) (* 90 (pow im 6)))) (pow re 6))) (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))))))
(fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) re)) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64)))))))
(* -1 re)
(neg.f64 re)
(* -1 (* re (+ 1 (* 1/2 (/ (pow im 2) (pow re 2))))))
(neg.f64 (fma.f64 (.f64 (/.f64 (.f64 im im) re) #s(literal 1/2 binary64)) #s(literal 1 binary64) re))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (* 1/2 (/ (pow im 2) (pow re 2)))))))
(.f64 (neg.f64 re) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) re) im) re) im #s(literal 1 binary64))))
(* -1 (* re (+ 1 (+ (* -1/8 (/ (pow im 4) (pow re 4))) (+ (* 1/16 (/ (pow im 6) (pow re 6))) (* 1/2 (/ (pow im 2) (pow re 2))))))))
(.f64 (neg.f64 re) (fma.f64 (pow.f64 im #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 6 binary64))) (fma.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) re) im) re) im #s(literal 1 binary64)))))
(/ (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 #s(literal 1/2 binary64) (.f64 (log.f64 base) re)) (/.f64 (.f64 im im) 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 (.f64 #s(literal 1/2 binary64) im) (.f64 (log.f64 base) re)) (/.f64 im re) (fma.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (/.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 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/6 binary64) im) (pow.f64 re #s(literal 6 binary64))) (/.f64 im (log.f64 base)) (/.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (log.f64 base))) (.f64 im im) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (log.f64 base)) re) re)) (*.f64 im im) (/.f64 (log.f64 re) (log.f64 base)))
(* (log base) (log re))
(*.f64 (log.f64 re) (log.f64 base))
(+ (* 1/2 (/ (* (pow im 2) (log base)) (pow re 2))) (* (log base) (log re)))
(fma.f64 (.f64 (/.f64 (log.f64 base) re) #s(literal 1/2 binary64)) (/.f64 (.f64 im im) re) (*.f64 (log.f64 re) (log.f64 base)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* -1/4 (/ (* (pow im 2) (log base)) (pow re 4))) (* 1/2 (/ (log base) (pow re 2))))))
(fma.f64 (fma.f64 (.f64 (.f64 (log.f64 base) im) im) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 (/.f64 (log.f64 base) re) (/.f64 #s(literal 1/2 binary64) re))) (.f64 im im) (*.f64 (log.f64 re) (log.f64 base)))
(+ (* (log base) (log re)) (* (pow im 2) (+ (* 1/2 (/ (log base) (pow re 2))) (* (pow im 2) (+ (* -1/4 (/ (log base) (pow re 4))) (* 1/6 (/ (* (pow im 2) (log base)) (pow re 6))))))))
(fma.f64 (fma.f64 (/.f64 (log.f64 base) re) (/.f64 #s(literal 1/2 binary64) re) (.f64 (fma.f64 (.f64 (.f64 (log.f64 base) im) im) (/.f64 #s(literal 1/6 binary64) (pow.f64 re #s(literal 6 binary64))) (.f64 (log.f64 base) (/.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal 4 binary64))))) (.f64 im im))) (.f64 im im) (*.f64 (log.f64 re) (log.f64 base)))
(+ re (* 1/2 (/ (pow im 2) re)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) re) (*.f64 im im) re)
(+ re (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re)))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) im) (/.f64 im (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) (.f64 im im) re)
(+ re (* (pow im 2) (+ (* (pow im 2) (- (* 1/16 (/ (pow im 2) (pow re 5))) (* 1/8 (/ 1 (pow re 3))))) (* 1/2 (/ 1 re)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) im) (/.f64 im (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (.f64 im im) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 im im) re)
(* -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 (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) im)) (/.f64 (.f64 re re) im) (/.f64 (log.f64 im) (log.f64 base)))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (log.f64 base) im)) (/.f64 re im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base))))
(+ (* -1 (/ (log (/ 1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (log.f64 base) im)) (/.f64 re im) (fma.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 base)) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 im) (log.f64 base)))))
(* -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 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) 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 (log.f64 base) (log.f64 im) (fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -1 (* (log base) (log (/ 1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (.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 im)))))
(* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2)))))
(fma.f64 (.f64 (/.f64 (.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im)
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2))))))
(fma.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64)))) im (fma.f64 (.f64 (/.f64 (*.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im))
(* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)))) im)
(* -1 (/ (log (/ -1 im)) (log base)))
(/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (log.f64 base) im)) (/.f64 re im) (/.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))))))
(fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (log.f64 base) im)) (/.f64 re im) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base)))))
(+ (* -1 (/ (log (/ -1 im)) (log base))) (+ (* -1/4 (/ (pow re 4) (* (pow im 4) (log base)))) (+ (* 1/720 (/ (+ (* 30 (pow re 6)) (* 90 (pow re 6))) (* (pow im 6) (log base)))) (* 1/2 (/ (pow re 2) (* (pow im 2) (log base)))))))
(fma.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) (.f64 (log.f64 base) im)) (/.f64 re im) (fma.f64 (/.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 120 binary64) (log.f64 base)) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (log.f64 base)) (/.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) im)) (neg.f64 (log.f64 base))))))
(* -1 (* (log base) (log (/ -1 im))))
(*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)))
(+ (* -1 (* (log base) (log (/ -1 im)))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2)))))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64))))))
(+ (* -1 (* (log base) (log (/ -1 im)))) (+ (* -1/4 (/ (* (pow re 4) (log base)) (pow im 4))) (+ (* 1/720 (/ (* (log base) (+ (* 30 (pow re 6)) (* 90 (pow re 6)))) (pow im 6))) (* 1/2 (/ (* (pow re 2) (log base)) (pow im 2))))))
(fma.f64 (.f64 (/.f64 (log.f64 base) im) #s(literal 1/2 binary64)) (/.f64 (.f64 re re) im) (fma.f64 (.f64 #s(literal 1/720 binary64) (log.f64 base)) (.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 120 binary64) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 (neg.f64 (log.f64 base)) (log.f64 (/.f64 #s(literal -1 binary64) im)) (.f64 (.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal -1/4 binary64)) (/.f64 (log.f64 base) (pow.f64 im #s(literal 4 binary64)))))))
(* -1 im)
(neg.f64 im)
(* -1 (* im (+ 1 (* 1/2 (/ (pow re 2) (pow im 2))))))
(neg.f64 (fma.f64 (.f64 (/.f64 (.f64 re re) im) #s(literal 1/2 binary64)) #s(literal 1 binary64) im))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (* 1/2 (/ (pow re 2) (pow im 2)))))))
(.f64 (neg.f64 im) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(* -1 (* im (+ 1 (+ (* -1/8 (/ (pow re 4) (pow im 4))) (+ (* 1/16 (/ (pow re 6) (pow im 6))) (* 1/2 (/ (pow re 2) (pow im 2))))))))
(.f64 (neg.f64 im) (fma.f64 (pow.f64 re #s(literal 6 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (/.f64 (.f64 re re) im) im) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log base))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* (log base) (log (sqrt (+ (pow im 2) (pow re 2)))))
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow (log base) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(* -1 (/ (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(* -1 (* (log (sqrt (+ (pow im 2) (pow re 2)))) (log (/ 1 base))))
(*.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
(pow (log (/ 1 base)) 2)
(pow.f64 (log.f64 base) #s(literal 2 binary64))
(/ (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(/.f64 (log.f64 (hypot.f64 im re)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))))
(* (log (sqrt (+ (pow im 2) (pow re 2)))) (+ (log -1) (* -1 (log (/ -1 base)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) (log.f64 (hypot.f64 im re)))
(pow (+ (log -1) (* -1 (log (/ -1 base)))) 2)
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) base))) #s(literal 2 binary64))

rewrite373.0ms (3.7%)

Memory

-18.1MiB live, 216.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	75
0	34	57
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 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)))) (neg.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)))) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))))
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(fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3/2 binary64)) (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3/2 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (/.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (/.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 (log.f64 (fma.f64 im im (.f64 re re))) (log.f64 base)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re))) (/.f64 (pow.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64)) (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (*.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (*.f64 (log.f64 (hypot.f64 im re)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (/.f64 (.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (log.f64 base)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (log.f64 base) (log.f64 (hypot.f64 im re)) #s(literal 0 binary64))
(fma.f64 (log.f64 (hypot.f64 im re)) (.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (log.f64 (hypot.f64 im re)) (*.f64 (log.f64 base) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 (hypot.f64 im re)) (/.f64 (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))) #s(literal 0 binary64))
(fma.f64 (log.f64 (hypot.f64 im re)) (log.f64 base) #s(literal 0 binary64))
(-.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 2 binary64))))
(-.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (log.f64 base)) (log.f64 (hypot.f64 im re))))
(+.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))

eval315.0ms (3.1%)

Memory: -26.3MiB live, 235.8MiB allocated
Compiler: Compiled 42 464 to 2 763 computations (93.5% saved)

prune50.0ms (0.5%)

Memory

19.5MiB live, 97.6MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	1 281	25	1 306
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 282	25	1 307

Accuracy

100.0%

Counts

1 307 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (log.f64 (hypot.f64 im re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	51.1%	(/.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 10 binary64)) (pow.f64 (log.f64 base) #s(literal 8 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	51.1%	(/.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) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.0%	(/.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64)))
	51.1%	(/.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (.f64 re re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.7%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 base) (log.f64 im))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (/.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (log.f64 base))))
	99.2%	(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))))
	99.1%	(.f64 (pow.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)) (/.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re)))))
	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -6 binary64))))
	99.1%	(.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (*.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
▶	99.2%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
▶	99.0%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
	99.2%	(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
	99.2%	(*.f64 (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (pow.f64 (log.f64 base) #s(literal 3 binary64)))
▶	99.1%	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
	99.2%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 (hypot.f64 im re))) (log.f64 base))
	99.1%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (log.f64 base)) (log.f64 (hypot.f64 im re)))
	98.9%	(.f64 (.f64 (.f64 (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))) (pow.f64 (log.f64 base) #s(literal -4 binary64))) (pow.f64 (log.f64 base) #s(literal 6 binary64))) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
	99.2%	(*.f64 (log.f64 (hypot.f64 im re)) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.1%	(*.f64 (log.f64 base) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	91.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) im)) (/.f64 (.f64 re re) im) (/.f64 (log.f64 im) (log.f64 base))))
▶	99.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
▶	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))

Compiler

Compiled 1 040 to 750 computations (27.9% saved)

simplify141.0ms (1.4%)

Memory

9.2MiB live, 124.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (log.f64 base) #s(literal 4 binary64))
cost-diff	0	(log.f64 base)
cost-diff	7104	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
cost-diff	19648	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
cost-diff	0	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -4 binary64))
cost-diff	19264	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
cost-diff	0	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	12800	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
cost-diff	0	(log.f64 base)
cost-diff	0	(log.f64 im)
cost-diff	0	(/.f64 (log.f64 im) (log.f64 base))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
cost-diff	0	(hypot.f64 im re)
cost-diff	0	(log.f64 (hypot.f64 im re))
cost-diff	0	(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	41	232
0	60	188
1	83	184
2	129	184
3	272	176
4	387	172
5	487	172
6	1385	172
7	2601	171
8	3086	169
9	3183	169
10	3219	169
11	3248	169
12	3336	169
13	3681	169
14	3805	169
15	4074	169
16	4641	169
17	5484	169
18	5871	169
19	6111	169
20	6349	169
0	8195	169

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (1.5%)

Memory

18.9MiB live, 172.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3522262695368841	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64)))
accuracy	0.42025375976844204	(*.f64 (/.f64 (log.f64 base) (pow.f64 (log.f64 base) #s(literal 4 binary64))) (/.f64 (log.f64 (hypot.f64 im re)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))
accuracy	0.5019913086106522	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.926533154485616	(pow.f64 (log.f64 base) #s(literal 4 binary64))
accuracy	0.34375	(*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re)))
accuracy	0.38900375976844204	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
accuracy	0.7085115235163768	(pow.f64 (log.f64 base) #s(literal 3 binary64))
accuracy	0.9030192872643117	(pow.f64 (log.f64 base) #s(literal -4 binary64))
accuracy	0	(log.f64 base)
accuracy	0.37890625	(*.f64 (log.f64 base) (log.f64 (hypot.f64 im re)))
accuracy	0.38119125976844204	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) (log.f64 (hypot.f64 im re))))
accuracy	0.5019913086106522	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0	(log.f64 im)
accuracy	0	(log.f64 base)
accuracy	0.3752757890073997	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
accuracy	0.375663769536884	(/.f64 (log.f64 im) (log.f64 base))
accuracy	0	(log.f64 (hypot.f64 im re))
accuracy	0	(log.f64 base)
accuracy	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base)))
accuracy	0.375663769536884	(/.f64 (log.f64 (hypot.f64 im re)) (log.f64 base))

Samples

114.0ms

256×

valid

Compiler

Compiled 535 to 78 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-add: 29.0ms (32.8% of total)

ival-hypot: 14.0ms (15.8% of total)

ival-pow: 12.0ms (13.6% of total)

ival-mult: 11.0ms (12.4% of total)

ival-log: 11.0ms (12.4% of total)

ival-div: 7.0ms (7.9% of total)

ival-atan2: 2.0ms (2.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series211.0ms (2.1%)

Memory

-5.6MiB live, 315.7MiB allocated

Counts

18 → 149

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (* (/ (log base) (pow (log base) 4)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -2))) (/ (log base) (pow (log base) 4)) (pow (log base) 4) (pow (log base) 3))
37.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (* (/ (log base) (pow (log base) 4)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -2))) (/ (log base) (pow (log base) 4)) (pow (log base) 4) (pow (log base) 3))
36.0ms	im	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (* (/ (log base) (pow (log base) 4)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -2))) (/ (log base) (pow (log base) 4)) (pow (log base) 4) (pow (log base) 3))
31.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (* (/ (log base) (pow (log base) 4)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -2))) (/ (log base) (pow (log base) 4)) (pow (log base) 4) (pow (log base) 3))
31.0ms	im	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (log base)) (log im) (log base) (* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (* (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -4) (* (pow (log base) 3) (log (sqrt (+ (* im im) (* re re))))) (* (/ (log base) (pow (log base) 4)) (/ (log (sqrt (+ (* im im) (* re re)))) (pow (log base) -2))) (/ (log base) (pow (log base) 4)) (pow (log base) 4) (pow (log base) 3))

simplify184.0ms (1.8%)

Memory

9.2MiB live, 320.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	466	3176
1	1298	3076
2	4183	3076
0	8020	2879

Stop Event

1×	iter limit
1×	node limit

Counts

149 → 147

Calls

Call 1

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

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

rewrite374.0ms (3.7%)

Memory

-13.3MiB live, 467.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	171
0	60	125
1	197	111
2	1194	108
0	8805	108

Stop Event

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

Counts

18 → 3 575

Calls

Call 1

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

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

eval619.0ms (6.1%)

Memory: 60.3MiB live, 1 014.5MiB allocated
Compiler: Compiled 112 252 to 8 388 computations (92.5% saved)

prune150.0ms (1.5%)

Memory

-23.5MiB live, 394.6MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	3 344	21	3 365
Fresh	17	3	20
Picked	4	1	5
Done	0	0	0
Total	3 365	25	3 390

Accuracy

100.0%

Counts

3 390 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.1%	(/.f64 (.f64 (.f64 (log.f64 base) #s(literal 1/2 binary64)) (log.f64 (fma.f64 im im (.f64 re re)))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.7%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 base) (log.f64 im))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
	98.9%	(.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (log.f64 (hypot.f64 im re))))
	98.7%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
	50.3%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(literal -3/2 binary64)) (log.f64 (hypot.f64 im re))))
	98.5%	(.f64 (pow.f64 (log.f64 base) #s(literal -4 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
	91.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (log.f64 base) im)) (/.f64 (.f64 re re) im) (/.f64 (log.f64 im) (log.f64 base))))
▶	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 im) #s(literal -1 binary64))))
	51.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base)))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal 4 binary64)) (pow.f64 (log.f64 base) #s(literal 3 binary64)))))
▶	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (neg.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64)))))
	49.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 1/2 binary64)) (pow.f64 (log.f64 base) #s(literal 1/2 binary64)))))
✓	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
▶	99.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im))) (log.f64 base)))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
	49.2%	#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))))
▶	98.6%	#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 -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))))
	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -2 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 (.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64))) (pow.f64 (log.f64 base) #s(literal 2 binary64))))
	99.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -3 binary64)))))
▶	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
	42.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (log.f64 im))) #s(literal -1 binary64))))

Compiler

Compiled 1 780 to 1 178 computations (33.8% saved)

simplify197.0ms (1.9%)

Memory

10.3MiB live, 169.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))
cost-diff	0	(log.f64 im)
cost-diff	0	(/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 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) (/.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -3 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 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))))
cost-diff	19264	(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -1 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 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 im) #s(literal -1 binary64))))
cost-diff	12928	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 im) #s(literal -1 binary64)))
cost-diff	0	(log.f64 im)
cost-diff	0	(neg.f64 (log.f64 im))
cost-diff	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
cost-diff	448	(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
cost-diff	0	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im))
cost-diff	0	#s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im)))
cost-diff	0	(/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (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 #s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im))) (log.f64 base)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	393
0	74	348
1	106	332
2	179	320
3	292	305
4	572	295
5	1452	295
6	2884	295
7	4685	295
8	5964	295
9	6681	295
10	6981	295
11	7109	295
12	7117	295
0	8157	255

Stop Event

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

Calls

Call 1

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

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

localize184.0ms (1.8%)

Memory

-9.0MiB live, 282.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3752757890073997	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
accuracy	0.375663769536884	(/.f64 (log.f64 im) (/.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64))))
accuracy	0.768139111432355	(pow.f64 (log.f64 base) #s(literal -3 binary64))
accuracy	0.9030192872643117	(pow.f64 (log.f64 base) #s(literal -4 binary64))
accuracy	0.3752757890073997	#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 -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))))
accuracy	0.42806625976844204	(.f64 (pow.f64 (log.f64 base) #s(literal -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im)))
accuracy	0.5381050293053261	(pow.f64 (log.f64 base) #s(literal 2 binary64))
accuracy	0.768139111432355	(pow.f64 (log.f64 base) #s(literal -3 binary64))
accuracy	0.27734375	(pow.f64 (log.f64 base) #s(literal -1 binary64))
accuracy	0.2890625	(pow.f64 (log.f64 im) #s(literal -1 binary64))
accuracy	0.3752757890073997	#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 binary64)) (pow.f64 (log.f64 im) #s(literal -1 binary64))))
accuracy	0.379570019536884	(/.f64 (pow.f64 (log.f64 base) #s(literal -1 binary64)) (pow.f64 (log.f64 im) #s(literal -1 binary64)))
accuracy	0	(log.f64 base)
accuracy	0.27734375	(/.f64 #s(literal -1 binary64) (log.f64 base))
accuracy	0.3752757890073997	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
accuracy	0.40462875976844204	(*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base)))
accuracy	0	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im))) (log.f64 base)))
accuracy	0.0078125	(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im))
accuracy	0.1315963859551052	#s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im)))
accuracy	0.375663769536884	(/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im))) (log.f64 base))

Samples

119.0ms

256×

valid

Compiler

Compiled 715 to 96 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-div: 39.0ms (40.7% of total)

ival-pow: 15.0ms (15.7% of total)

ival-log: 13.0ms (13.6% of total)

ival-mult: 11.0ms (11.5% of total)

ival-hypot: 8.0ms (8.3% of total)

ival-add: 3.0ms (3.1% of total)

ival-atan2: 2.0ms (2.1% of total)

ival-pow2: 2.0ms (2.1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series223.0ms (2.2%)

Memory

-18.4MiB live, 301.9MiB allocated

Counts

22 → 83

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

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

Calls

9 calls:

Time	Variable		Point	Expression
68.0ms	re	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (/ (pow (log base) -1) (pow (log im) -1)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (pow (log base) -1) (log base) (* (pow (log base) -3) (* (pow (log base) 2) (log im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (pow (log base) -3) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ (pow (log base) -3) (pow (log base) -4))) (/ (pow (log base) -3) (pow (log base) -4)) (/ -1 (log base)) (pow (log im) -1) (pow (log base) 2) (pow (log base) -4))
37.0ms	im	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (/ (pow (log base) -1) (pow (log im) -1)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (pow (log base) -1) (log base) (* (pow (log base) -3) (* (pow (log base) 2) (log im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (pow (log base) -3) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ (pow (log base) -3) (pow (log base) -4))) (/ (pow (log base) -3) (pow (log base) -4)) (/ -1 (log base)) (pow (log im) -1) (pow (log base) 2) (pow (log base) -4))
28.0ms	base	@	inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (/ (pow (log base) -1) (pow (log im) -1)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (pow (log base) -1) (log base) (* (pow (log base) -3) (* (pow (log base) 2) (log im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (pow (log base) -3) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ (pow (log base) -3) (pow (log base) -4))) (/ (pow (log base) -3) (pow (log base) -4)) (/ -1 (log base)) (pow (log im) -1) (pow (log base) 2) (pow (log base) -4))
26.0ms	base	@	-inf	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (/ (pow (log base) -1) (pow (log im) -1)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (pow (log base) -1) (log base) (* (pow (log base) -3) (* (pow (log base) 2) (log im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (pow (log base) -3) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ (pow (log base) -3) (pow (log base) -4))) (/ (pow (log base) -3) (pow (log base) -4)) (/ -1 (log base)) (pow (log im) -1) (pow (log base) 2) (pow (log base) -4))
25.0ms	base	@	0	((/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (* (neg (log im)) (/ -1 (log base))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (neg (log im)) (log im) (/ (pow (log base) -1) (pow (log im) -1)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (pow (log base) -1) (log base) (* (pow (log base) -3) (* (pow (log base) 2) (log im))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (pow (log base) -3) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log im) (/ (pow (log base) -3) (pow (log base) -4))) (/ (pow (log base) -3) (pow (log base) -4)) (/ -1 (log base)) (pow (log im) -1) (pow (log base) 2) (pow (log base) -4))

simplify355.0ms (3.5%)

Memory

2.6MiB live, 238.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	1372
1	565	1315
2	1510	1298
3	4848	1298
0	8111	1224

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 83

Calls

Call 1

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

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

rewrite164.0ms (1.6%)

Memory

-9.3MiB live, 307.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	337
0	74	277
1	255	243
2	1702	239
0	8186	195

Stop Event

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

Counts

22 → 1 094

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

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

eval415.0ms (4.1%)

Memory: 37.8MiB live, 431.7MiB allocated
Compiler: Compiled 69 472 to 5 591 computations (92% saved)

prune75.0ms (0.7%)

Memory

-24.8MiB live, 215.5MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	1 290	15	1 305
Fresh	11	8	19
Picked	2	3	5
Done	0	1	1
Total	1 303	27	1 330

Accuracy

100.0%

Counts

1 330 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 base) (log.f64 im))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
▶	98.7%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
	51.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base)))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (*.f64 (pow.f64 (log.f64 base) #s(literal 5 binary64)) (pow.f64 (log.f64 base) #s(literal -4 binary64)))))
✓	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	73.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal -2 binary64)))) (log.f64 base)))
	49.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im))) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	99.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im))) (log.f64 base)))
	49.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) re) re) (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (.f64 im im) #s(literal -1 binary64))) (.f64 (.f64 im im) (/.f64 #s(literal -1 binary64) (log.f64 im))))) (log.f64 base)))
▶	47.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (.f64 (/.f64 im (.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 im (.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 im))))) (log.f64 base)))
▶	99.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 (+.f64 (neg.f64 im) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) im) re))) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) im))) (log.f64 base)))
▶	49.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (fma.f64 (.f64 (log.f64 im) im) im (.f64 (.f64 re re) #s(literal 1/2 binary64))) (.f64 im im)))) (log.f64 base)))
▶	3.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) (/.f64 re im)))) (log.f64 base)))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -3 binary64)))))
✓	98.6%	#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 -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))))
	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (.f64 (log.f64 im) (pow.f64 (log.f64 base) #s(literal -2 binary64))) (log.f64 base)))
	73.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal -2 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 (neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
	99.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (neg.f64 (log.f64 (hypot.f64 im re))) (.f64 (neg.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64))) (pow.f64 (log.f64 base) #s(literal -3 binary64)))))
	49.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (log.f64 base) #s(literal -1/2 binary64)) #s(literal -2 binary64)))))
	49.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))))
	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
✓	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
	48.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (neg.f64 (log.f64 im)) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))))
	42.9%	#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 2 307 to 1 459 computations (36.8% saved)

simplify124.0ms (1.2%)

Memory

44.8MiB live, 265.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	320	(.f64 (.f64 (/.f64 im (*.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 im)))
cost-diff	320	(.f64 (.f64 (/.f64 im (*.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) #s(literal -1 binary64))
cost-diff	320	(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (.f64 (/.f64 im (*.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) #s(literal -1 binary64)))
cost-diff	2304	(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (.f64 (/.f64 im (.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 im (.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
cost-diff	0	(.f64 (log.f64 base) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)))
cost-diff	0	(log.f64 base)
cost-diff	0	(pow.f64 (log.f64 base) #s(literal -2 binary64))
cost-diff	12800	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
cost-diff	0	#s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (fma.f64 (.f64 (log.f64 im) im) im (.f64 (.f64 re re) #s(literal 1/2 binary64))) (.f64 im im)))
cost-diff	0	#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (fma.f64 (.f64 (log.f64 im) im) im (.f64 (.f64 re re) #s(literal 1/2 binary64))) (.f64 im im))))
cost-diff	0	(/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (fma.f64 (.f64 (log.f64 im) im) im (.f64 (.f64 re re) #s(literal 1/2 binary64))) (.f64 im 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 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (fma.f64 (.f64 (log.f64 im) im) im (.f64 (.f64 re re) #s(literal 1/2 binary64))) (.f64 im im)))) (log.f64 base)))
cost-diff	0	#s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) (/.f64 re im)))
cost-diff	0	#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) (/.f64 re im))))
cost-diff	0	(/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) (/.f64 re 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 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) (/.f64 re im)))) (log.f64 base)))
cost-diff	128	(+.f64 (neg.f64 im) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) re)))
cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) im)
cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) re))
cost-diff	8064	(/.f64 (+.f64 (neg.f64 im) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) im) re))) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	937
0	114	903
1	184	870
2	377	853
3	1125	833
4	4713	771
0	8243	663

Stop Event

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

Calls

Call 1

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

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

localize253.0ms (2.5%)

Memory

-66.5MiB live, 332.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(.f64 (/.f64 im (.f64 #s(literal 1/2 binary64) re)) (/.f64 im re))
accuracy	0.2890625	(/.f64 #s(literal -1 binary64) (log.f64 im))
accuracy	0.375663769536884	(/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (.f64 (/.f64 im (.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 im (.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 im))))) (log.f64 base))
accuracy	32.27852945514683	(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (.f64 (/.f64 im (.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 im (.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
accuracy	0.37552401660123164	#s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))
accuracy	0.37890625	(.f64 (log.f64 base) #s(approx (log (sqrt (+ ( im im) (* re re)))) (log.f64 im)))
accuracy	0.38119125976844204	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
accuracy	0.5019913086106522	(pow.f64 (log.f64 base) #s(literal -2 binary64))
accuracy	0.1315963859551052	#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (fma.f64 (.f64 (log.f64 im) im) im (.f64 (.f64 re re) #s(literal 1/2 binary64))) (.f64 im im))))
accuracy	0.30859375	(*.f64 (log.f64 im) im)
accuracy	0.375663769536884	(/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (fma.f64 (.f64 (log.f64 im) im) im (.f64 (.f64 re re) #s(literal 1/2 binary64))) (.f64 im im)))) (log.f64 base))
accuracy	31.31211513225558	(/.f64 (fma.f64 (.f64 (log.f64 im) im) im (.f64 (.f64 re re) #s(literal 1/2 binary64))) (.f64 im im))
accuracy	0.1315963859551052	#s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) (/.f64 re im))))
accuracy	0.24609375	(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) (/.f64 re im))
accuracy	0.375663769536884	(/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) (/.f64 re im)))) (log.f64 base))
accuracy	61.76572991670632	#s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) (/.f64 re im)))
accuracy	0.24609375	(/.f64 (+.f64 (neg.f64 im) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) im) re))) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) im))
accuracy	0.25	(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) im)
accuracy	0.2890625	(/.f64 #s(literal -1 binary64) (log.f64 im))
accuracy	0.375663769536884	(/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 (+.f64 (neg.f64 im) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (/.f64 (.f64 #s(literal 1/2 binary64) re) im) re))) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) im))) (log.f64 base))

Samples

144.0ms

256×

valid

Compiler

Compiled 1 485 to 134 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 28.0ms (31.4% of total)

ival-log: 22.0ms (24.7% of total)

ival-div: 15.0ms (16.8% of total)

ival-hypot: 8.0ms (9% of total)

ival-add: 6.0ms (6.7% of total)

ival-pow: 4.0ms (4.5% of total)

ival-atan2: 3.0ms (3.4% of total)

exact: 1.0ms (1.1% of total)

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

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

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

series157.0ms (1.5%)

Memory

27.8MiB live, 386.9MiB allocated

Counts

28 → 116

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	im	@	0	((/ (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (* (/ -1 (log im)) im)) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re)) (* (/ -1 (log im)) im) (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (+ (* 1 (/ -1 (log im))) (* (* (/ im (* 1/2 re)) (/ im re)) -1)) (* (* (/ im (* 1/2 re)) (/ im re)) (/ -1 (log im)))) (+ (* 1 (/ -1 (log im))) (* (* (/ im (* 1/2 re)) (/ im re)) -1)) (* (* (/ im (* 1/2 re)) (/ im re)) -1) (* (* (/ im (* 1/2 re)) (/ im re)) (/ -1 (log im))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (/ -1 (log im)) (* (* 1/2 (/ re im)) (/ re im)) (/ (+ (* (* (log im) im) im) (* (* re re) 1/2)) (* im im)) (* (log im) im) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (* (/ im (* 1/2 re)) (/ im re)))
22.0ms	im	@	-inf	((/ (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (* (/ -1 (log im)) im)) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re)) (* (/ -1 (log im)) im) (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (+ (* 1 (/ -1 (log im))) (* (* (/ im (* 1/2 re)) (/ im re)) -1)) (* (* (/ im (* 1/2 re)) (/ im re)) (/ -1 (log im)))) (+ (* 1 (/ -1 (log im))) (* (* (/ im (* 1/2 re)) (/ im re)) -1)) (* (* (/ im (* 1/2 re)) (/ im re)) -1) (* (* (/ im (* 1/2 re)) (/ im re)) (/ -1 (log im))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (/ -1 (log im)) (* (* 1/2 (/ re im)) (/ re im)) (/ (+ (* (* (log im) im) im) (* (* re re) 1/2)) (* im im)) (* (log im) im) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (* (/ im (* 1/2 re)) (/ im re)))
19.0ms	im	@	inf	((/ (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (* (/ -1 (log im)) im)) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re)) (* (/ -1 (log im)) im) (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (+ (* 1 (/ -1 (log im))) (* (* (/ im (* 1/2 re)) (/ im re)) -1)) (* (* (/ im (* 1/2 re)) (/ im re)) (/ -1 (log im)))) (+ (* 1 (/ -1 (log im))) (* (* (/ im (* 1/2 re)) (/ im re)) -1)) (* (* (/ im (* 1/2 re)) (/ im re)) -1) (* (* (/ im (* 1/2 re)) (/ im re)) (/ -1 (log im))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (/ -1 (log im)) (* (* 1/2 (/ re im)) (/ re im)) (/ (+ (* (* (log im) im) im) (* (* re re) 1/2)) (* im im)) (* (log im) im) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (* (/ im (* 1/2 re)) (/ im re)))
18.0ms	base	@	inf	((/ (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (* (/ -1 (log im)) im)) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re)) (* (/ -1 (log im)) im) (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (+ (* 1 (/ -1 (log im))) (* (* (/ im (* 1/2 re)) (/ im re)) -1)) (* (* (/ im (* 1/2 re)) (/ im re)) (/ -1 (log im)))) (+ (* 1 (/ -1 (log im))) (* (* (/ im (* 1/2 re)) (/ im re)) -1)) (* (* (/ im (* 1/2 re)) (/ im re)) -1) (* (* (/ im (* 1/2 re)) (/ im re)) (/ -1 (log im))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (/ -1 (log im)) (* (* 1/2 (/ re im)) (/ re im)) (/ (+ (* (* (log im) im) im) (* (* re re) 1/2)) (* im im)) (* (log im) im) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (* (/ im (* 1/2 re)) (/ im re)))
18.0ms	base	@	0	((/ (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (* (/ -1 (log im)) im)) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re)) (* (/ -1 (log im)) im) (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (log (sqrt (+ (* im im) (* re re)))) (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (* (pow (log base) -2) (* (log base) (log (sqrt (+ (* im im) (* re re)))))) (pow (log base) -2) (log base) (* (log base) (log (sqrt (+ (* im im) (* re re))))) (/ (+ (* 1 (/ -1 (log im))) (* (* (/ im (* 1/2 re)) (/ im re)) -1)) (* (* (/ im (* 1/2 re)) (/ im re)) (/ -1 (log im)))) (+ (* 1 (/ -1 (log im))) (* (* (/ im (* 1/2 re)) (/ im re)) -1)) (* (* (/ im (* 1/2 re)) (/ im re)) -1) (* (* (/ im (* 1/2 re)) (/ im re)) (/ -1 (log im))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (/ -1 (log im)) (* (* 1/2 (/ re im)) (/ re im)) (/ (+ (* (* (log im) im) im) (* (* re re) 1/2)) (* im im)) (* (log im) im) (log (sqrt (+ (* im im) (* re re)))) (/ (log (sqrt (+ (* im im) (* re re)))) (log base)) (* (/ im (* 1/2 re)) (/ im re)))

simplify192.0ms (1.9%)

Memory

-26.2MiB live, 288.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	365	2224
1	982	2143
2	2905	2135
3	7847	2135
0	8009	2009

Stop Event

1×	iter limit
1×	node limit

Counts

116 → 116

Calls

Call 1

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

rewrite189.0ms (1.8%)

Memory

-3.5MiB live, 317.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	629
0	112	609
1	370	556
2	2812	556
0	8432	480

Stop Event

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

Counts

28 → 706

Calls

Call 1

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

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

eval361.0ms (3.5%)

Memory: 23.6MiB live, 252.6MiB allocated
Compiler: Compiled 66 333 to 5 212 computations (92.1% saved)

prune226.0ms (2.2%)

Memory

0.5MiB live, 164.7MiB allocated

Pruning

45 alts after pruning (38 fresh and 7 done)

	Pruned	Kept	Total
New	907	29	936
Fresh	9	9	18
Picked	2	3	5
Done	0	4	4
Total	918	45	963

Accuracy

100.0%

Counts

963 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f64 #s(approx (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (.f64 (log.f64 base) (log.f64 im))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
✓	98.7%	(.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) (.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))))
	98.6%	(.f64 (.f64 (pow.f64 (log.f64 base) #s(literal -2 binary64)) #s(approx (log (sqrt (+ (* im im) (* re re)))) (log.f64 im))) (log.f64 base))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 base)) (/.f64 #s(literal -1 binary64) (log.f64 im))))
	51.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (.f64 (log.f64 (fma.f64 im im (.f64 re re))) #s(literal 1/2 binary64)) (log.f64 base)))
✓	98.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 (log.f64 im) (log.f64 base)))
	49.3%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im))) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64))))
✓	99.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) (/.f64 re im) (log.f64 im))) (log.f64 base)))
	43.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (.f64 (/.f64 im (.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) #s(literal -1 binary64))) (/.f64 (.f64 (*.f64 im #s(literal 2 binary64)) (/.f64 (/.f64 im re) re)) (neg.f64 (log.f64 im))))) (log.f64 base)))
	47.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (.f64 (/.f64 im (.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) #s(literal -1 binary64))) #s(approx ( (* (/ im (* 1/2 re)) (/ im re)) (/ -1 (log im))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) im) re) (/.f64 im (*.f64 re (log.f64 im))))))) (log.f64 base)))
	50.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 re) (/.f64 (.f64 re #s(literal 1/2 binary64)) im)) (+.f64 #s(literal 0 binary64) im) (.f64 (log.f64 im) (.f64 (neg.f64 im) im))) (.f64 (log.f64 im) (+.f64 #s(literal 0 binary64) im))) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) im))) (log.f64 base)))
	99.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 (+.f64 (neg.f64 im) (.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) (.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) re) im) re))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 im) (neg.f64 im))))) (log.f64 base)))
	47.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 #s(approx (+ (* 1 (/ -1 (log im))) (* (* (/ im (* 1/2 re)) (/ im re)) -1)) (.f64 (/.f64 (.f64 #s(literal -2 binary64) im) re) (/.f64 im re))) (.f64 (.f64 (/.f64 im (*.f64 #s(literal 1/2 binary64) re)) (/.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 im))))) (log.f64 base)))
	50.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 #s(approx (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) re) (/.f64 re (log.f64 im)) (.f64 (neg.f64 im) im)) im)) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) im))) (log.f64 base)))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 #s(approx (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (neg.f64 im)) (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 im)) im))) (log.f64 base)))
	99.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 im) (log.f64 im)) (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 (log.f64 im) im)) re (neg.f64 im))))) (log.f64 base)))
	99.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (/.f64 #s(literal 1 binary64) (/.f64 im (.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 (log.f64 im) im)) re (neg.f64 im)) (.f64 (log.f64 im) #s(literal -1 binary64)))))) (log.f64 base)))
	99.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) (.f64 (neg.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) re) (*.f64 (log.f64 im) im)) re (neg.f64 im))) (pow.f64 (neg.f64 (/.f64 (neg.f64 im) (log.f64 im))) #s(literal -1 binary64)))) (log.f64 base)))
	48.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (/ (+ (neg im) (* (/ -1 (log im)) (* (/ (* 1/2 re) im) re))) (* (/ -1 (log im)) im)) (.f64 (+.f64 (/.f64 (/.f64 (log.f64 im) re) re) (/.f64 #s(literal 1/2 binary64) (.f64 im im))) (*.f64 re re)))) (log.f64 base)))
✓	49.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (fma.f64 (.f64 (log.f64 im) im) im (.f64 (.f64 re re) #s(literal 1/2 binary64))) (.f64 im im)))) (log.f64 base)))
	3.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (/.f64 (*.f64 re #s(literal 1/2 binary64)) im) (/.f64 im re)))) (log.f64 base)))
	3.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (/.f64 re im) (/.f64 #s(literal 2 binary64) (/.f64 re im))))) (log.f64 base)))
	3.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (.f64 (/.f64 (.f64 re #s(literal 1/2 binary64)) im) re) im))) (log.f64 base)))
	2.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (.f64 (.f64 re re) #s(literal 1/2 binary64)) (*.f64 im im)))) (log.f64 base)))
	3.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (.f64 (.f64 re #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 im re) im)))) (log.f64 base)))
	3.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 (.f64 re #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 2 binary64) (/.f64 re im)) im)))) (log.f64 base)))
	49.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 im) im) im)))))) (log.f64 base)))
	50.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 #s(literal 1 binary64) (/.f64 im (/.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (.f64 (*.f64 (log.f64 im) im) im)) im))))) (log.f64 base)))
	3.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 #s(literal 1 binary64) (/.f64 im (.f64 (/.f64 (.f64 re #s(literal 1/2 binary64)) im) re))))) (log.f64 base)))
	3.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 im #s(literal 2 binary64)) (/.f64 (/.f64 im re) re))))) (log.f64 base)))
	49.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 im) im) im)) (pow.f64 im #s(literal -2 binary64))))) (log.f64 base)))
	50.8%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (pow.f64 im #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 im) im) im)) im)))) (log.f64 base)))
	3.4%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (.f64 re #s(literal 1/2 binary64)) (/.f64 (/.f64 re im) im)))) (log.f64 base)))
	3.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (.f64 re #s(literal 1/2 binary64)) (/.f64 re (*.f64 im im))))) (log.f64 base)))
✓	3.5%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) (/.f64 re im)))) (log.f64 base)))
	48.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (neg.f64 (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 im) im) im))) (pow.f64 (*.f64 (neg.f64 im) im) #s(literal -1 binary64))))) (log.f64 base)))
	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) (log.f64 im))))
	49.0%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (/.f64 #s(literal 1 binary64) (/.f64 (log.f64 base) #s(approx (log (sqrt (+ (* im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (pow.f64 im #s(literal -2 binary64)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 im) im) im))))))))
	49.0%	#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 binary64)) #s(approx (log (sqrt (+ ( im im) (* re re)))) #s(approx (+ (* (/ (* 1/2 re) im) (/ re im)) (log im)) (.f64 (pow.f64 im #s(literal -2 binary64)) (fma.f64 (.f64 re re) #s(literal 1/2 binary64) (.f64 (.f64 (log.f64 im) im) im)))))))
✓	98.6%	#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 -3 binary64)) (.f64 (pow.f64 (log.f64 base) #s(literal 2 binary64)) (log.f64 im))))
	73.2%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (pow.f64 (pow.f64 (log.f64 im) #s(literal -1/2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 base))))
	49.1%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (pow.f64 (sqrt.f64 (log.f64 base)) #s(literal 2 binary64)))))
	98.6%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (.f64 (pow.f64 (log.f64 base) #s(literal 3 binary64)) (pow.f64 (log.f64 base) #s(literal -2 binary64))))))
✓	98.7%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (*.f64 (neg.f64 (log.f64 im)) (/.f64 #s(literal -1 binary64) (log.f64 base))))
	48.9%	#s(approx (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0))) (.f64 (neg.f64 (log.f64 im)) (exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 base))) #s(literal -1 binary64)))))

Compiler

Compiled 6 731 to 2 128 computations (68.4% saved)

regimes216.0ms (2.1%)

Memory

-1.0MiB live, 152.1MiB allocated

Counts

91 → 1

Calls

Call 1

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

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

Calls

5 calls:

64.0ms	(log.f64 base)
52.0ms	(/.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))))
38.0ms	im
34.0ms	re
23.0ms	base

Results

Accuracy	Segments	Branch
99.4%	1	`re`
99.4%	1	`im`
99.4%	1	`base`
99.4%	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))))`
99.4%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes53.0ms (0.5%)

Memory

-6.8MiB live, 41.4MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

23.0ms	im
7.0ms	re
7.0ms	(log.f64 base)
7.0ms	base
7.0ms	(/.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 33 to 31 computations (6.1% saved)

regimes46.0ms (0.4%)

Memory

-3.9MiB live, 33.4MiB allocated

Counts

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

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

Calls

5 calls:

22.0ms	re
6.0ms	(log.f64 base)
6.0ms	im
6.0ms	base
5.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

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

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes21.0ms (0.2%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

4.0ms	(log.f64 base)
4.0ms	base
4.0ms	im
4.0ms	re
4.0ms	(/.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
3.5%	1	`re`
3.5%	1	`im`
3.5%	1	`base`
3.5%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
3.5%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes31.0ms (0.3%)

Memory

-18.1MiB live, 20.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

18.0ms	base
3.0ms	(log.f64 base)
3.0ms	im
3.0ms	re
3.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
3.5%	1	`re`
3.5%	1	`im`
3.5%	1	`base`
3.5%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
3.5%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes11.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

2.0ms	(log.f64 base)
2.0ms	re
2.0ms	im
2.0ms	base
2.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

Results

Accuracy	Segments	Branch
3.5%	1	`re`
3.5%	1	`im`
3.5%	1	`base`
3.5%	1	`(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))`
3.5%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

regimes33.0ms (0.3%)

Memory

-22.4MiB live, 15.2MiB allocated

Accuracy

Total -0.2b remaining (-0.3%)

Threshold costs -0.2b (-0.3%)

Counts

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

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

Outputs

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

Calls

5 calls:

26.0ms	(/.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base)) (.f64 (atan2.f64 im re) #s(literal 0 binary64))) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
2.0ms	re
2.0ms	(log.f64 base)
1.0ms	im
1.0ms	base

Results

Accuracy	Segments	Branch
3.2%	1	`re`
3.2%	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))))`
3.2%	1	`im`
3.2%	1	`base`
3.2%	1	`(log.f64 base)`

Compiler

Compiled 33 to 31 computations (6.1% saved)

simplify59.0ms (0.6%)

Memory

-2.9MiB live, 43.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	367
1	84	367

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness701.0ms (6.9%)

Memory

22.7MiB live, 506.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	466	3176
1	1298	3076
2	4183	3076
0	8020	2879
0	74	629
0	112	609
1	370	556
2	2812	556
0	8432	480
0	241	1372
1	565	1315
2	1510	1298
3	4848	1298
0	8111	1224
0	299	1777
1	840	1750
2	2645	1728
3	6335	1718
0	8100	1596

Stop Event

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

Compiler

Compiled 620 to 260 computations (58.1% saved)

preprocess71.0ms (0.7%)

Memory

-23.7MiB live, 171.1MiB allocated

Remove

(sort re im)

(abs re)

(abs im)

Compiler

Compiled 1 898 to 874 computations (54% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze204.0ms (2%)

sample1.6s (15.9%)

explain380.0ms (3.7%)

preprocess313.0ms (3.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify250.0ms (2.4%)

localize88.0ms (0.9%)

series189.0ms (1.8%)

simplify238.0ms (2.3%)

rewrite373.0ms (3.7%)

eval315.0ms (3.1%)

prune50.0ms (0.5%)

simplify141.0ms (1.4%)

localize150.0ms (1.5%)

series211.0ms (2.1%)

simplify184.0ms (1.8%)

rewrite374.0ms (3.7%)

eval619.0ms (6.1%)

prune150.0ms (1.5%)

simplify197.0ms (1.9%)

localize184.0ms (1.8%)

series223.0ms (2.2%)

simplify355.0ms (3.5%)

rewrite164.0ms (1.6%)

eval415.0ms (4.1%)

prune75.0ms (0.7%)

simplify124.0ms (1.2%)

localize253.0ms (2.5%)

series157.0ms (1.5%)

simplify192.0ms (1.9%)

rewrite189.0ms (1.8%)

eval361.0ms (3.5%)

prune226.0ms (2.2%)

regimes216.0ms (2.1%)

regimes53.0ms (0.5%)

regimes46.0ms (0.4%)

regimes21.0ms (0.2%)

regimes31.0ms (0.3%)

regimes11.0ms (0.1%)

regimes33.0ms (0.3%)

simplify59.0ms (0.6%)

soundness701.0ms (6.9%)

preprocess71.0ms (0.7%)

end0.0ms (0%)

Profiling